ORIGINAL_ARTICLE
Dynamic Instability of Visco-SWCNTs Conveying Pulsating Fluid Based on Sinusoidal Surface Couple Stress Theory
In this study, a realistic model for dynamic instability of embedded single-walled nanotubes (SWCNTs) conveying pulsating fluid is presented considering the viscoelastic property of the nanotubes using Kelvin–Voigt model. SWCNTs are placed in longitudinal magnetic fields and modeled by sinusoidal shear deformation beam theory (SSDBT) as well as modified couple stress theory. The effect of slip boundary condition and small size effect of nano flow are considered using Knudsen number. The Gurtin–Murdoch elasticity theory is applied for incorporation the surface stress effects. The surrounding elastic medium is described by a visco-Pasternak foundation model, which accounts for normal, transverse shear and damping loads. The motion equations are derived based on the Hamilton's principle. The differential quadrature method (DQM) in conjunction with Bolotin method is used in order to calculate the dynamic instability region (DIR) of visco-SWCNTs induced by pulsating fluid. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, magnetic field, visco-Pasternak foundation, Knudsen number, surface stress and fluid velocity on the dynamic instability of SWCNTs. The results depict that increasing magnetic field and considering surface effect shift DIR to right. The results presented in this paper would be helpful in design and manufacturing of nano/micro mechanical systems.
http://jsm.iau-arak.ac.ir/article_531817_2b4c0bbf3ab33ab0c6fe603cbcc9b367.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
225
238
Dynamic instability
Pulsating fluid
Visco-SWCNTs
Surface effect
Modified couple stress theory
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran
LEAD_AUTHOR
R
Kolahchi
true
2
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
M
Jamali
true
3
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
M
Mosayyebi
true
4
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
I
Alinaghian
true
5
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
[1] Wang X., Li Q., Xie J., Jin Z., Wang J., Li Y., Jiang K., Fan S., 2009, Fabrication of ultralong and electrically uniform single-walled carbon nanotubes on clean substrates, Nano Letters 9: 3137-3141.
1
[2] Wong M., Gullapalli S., 2011, Nanotechnology: A Guide to Nano-Objects, Chemical Engineering Progress.
2
[3] Şimşek M., Reddy J.N., 2013, Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory, International Journal of Engineering Science 64: 37-53.
3
[4] Wang L., Xu Y.Y., Ni Q., 2013, Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: A unified treatment, International Journal of Engineering Science 68: 1-10.
4
[5] Thai H-T., Vo T.P., 2012, A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams, International Journal of Engineering Science 54: 58-66.
5
[6] Kiani K., 2013, Vibration behavior of simply supported inclined single-walled carbon nanotubes conveying viscous fluids flow using nonlocal Rayleigh beam model, Applied Mathematical Modelling 37: 1836-1850.
6
[7] Khodami Maraghi Z., Ghorbanpour Arani A., Kolahchi R., Amir S., Bagheri M.R., 2013, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites Part B: Engineering 45: 423-432.
7
[8] Murmu T., Pradhan S.C., 2009, Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM, Physica E: Low-Dimensional Systems and Nanostructures 41: 1232-1239.
8
[9] Ghorbanpour Arani A., Kolahchi R., Hashemian M., 2014, Nonlocal surface piezoelasticity theory for dynamic stability of double-walled boron nitride nanotube conveying viscose fluid based on different theories, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science.
9
[10] Liang F., Su Y., 2013, Stability analysis of a single-walled carbon nanotube conveying pulsating and viscous fluid with nonlocal effect, Applied Mathematical Modelling 37: 6821-6828.
10
[11] Mirramezani M., Mirdamadi H.R., Ghayour M., 2013, Innovative coupled fluid–structure interaction model for carbon nano-tubes conveying fluid by considering the size effects of nano-flow and nano-structure, Computational Materials Science 77: 161-171.
11
[12] Kaviani F., Mirdamadi H.R., 2013, Wave propagation analysis of carbon nano-tube conveying fluid including slip boundary condition and strain/inertial gradient theory, Computers & Structures 116: 75-87.
12
[13] Lee H.L., Chang W.J., 2010, Surface effects on frequency analysis of nanotubes using nonlocal Timoshenko beam theory, Journal of Applied Physics 108: 093503.
13
[14] Gheshlaghi B., Hasheminejad S.M., 2011, Surface effects on nonlinear free vibration of nanobeams, Composites Part B: Engineering 42: 934-937.
14
[15] Malekzadeh P., Shojaee M., 2013, Surface and nonlocal effects on the nonlinear free vibration of non-uniform nanobeams, Composites Part B: Engineering 52: 84-92.
15
[16] Kiani K., 2014, Vibration and instability of a single-walled carbon nanotube in a three-dimensional magnetic field, Journal of Physics and Chemistry of Solids 75: 15-22.
16
[17] Wang H., Dong K., Men F., Yan Y.J., Wang X., 2010, Influences of longitudinal magnetic field on wave propagation in carbon nanotubes embedded in elastic matrix, Applied Mathematical Modelling 34: 878-889.
17
[18] Ghorbanpour Arani A., Amir S., Dashti P., Yousefi M., 2014, Flow-induced vibration of double bonded visco-CNTs under magnetic fields considering surface effect, Computational Materials Science 86: 144-154.
18
[19] Lei Y., Adhikari S., Friswell M.I., 2013, Vibration of nonlocal Kelvin–Voigt viscoelastic damped Timoshenko beams, International Journal of Engineering Science 66: 1-13.
19
[20] Ghorbanpour Arani A., Amir S., 2013, Electro-thermal vibration of visco-elastically coupled BNNT systems conveying fluid embedded on elastic foundation via strain gradient theory, Physica B: Condensed Matter 419: 1-6.
20
[21] Lei Y., Murmu T., Adhikari S., Friswell M.I., 2013, Dynamic characteristics of damped viscoelastic nonlocal Euler–Bernoulli beams, European Journal of Mechanics - A/Solids 42: 125-136.
21
[22] Gurtin M., Ian Murdoch A., 1975, A continuum theory of elastic material surfaces, Archive for Rational Mechanics and Analysis 57: 291-323.
22
[23] Gurtin M., Ian Murdoch A., 1978, Surface stress in solids, International Journal of Solids and Structures 14: 431-440.
23
[24] Ansari R., Ashrafi M.A., Pourashraf T., Sahmani S., 2015, Vibration and buckling characteristics of functionally graded nanoplates subjected to thermal loading based on surface elasticity theory, Acta Astronautica 109: 42-51.
24
[25] Shaat M., Mohamed S.A., 2014, Nonlinear-electrostatic analysis of micro-actuated beams based on couple stress and surface elasticity theories, International Journal of Mechanical Sciences 84: 208-217.
25
[26] Ansari R., Sahmani S., 2011, Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories, International Journal of Engineering Science 49: 1244-1255.
26
[27] Bolotin V.V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco.
27
[28] Lanhe W., Hongjun W., Daobin W., 2007, Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method, Composite Structures 77: 383-394.
28
[29] Lei X.-w., Natsuki T., Shi J.-x., Ni Q.-q., 2012, Surface effects on the vibrational frequency of double-walled carbon nanotubes using the nonlocal Timoshenko beam model, Composites Part B: Engineering 43: 64-69.
29
ORIGINAL_ARTICLE
Evaluation of Buckling and Post Buckling of Variable Thickness Shell Subjected to External Hydrostatic Pressure
Buckling and post buckling of cylindrical shells under hydrostatic pressure is regarded as important issue in structure of submarines. These cylindrical shells have variable thickness due to construction process which effected by pressure of buckling and its destruction. In this paper, effects of changing thickness on buckling and destruction pressure under external hydrostatic pressure of a shell are studied. Results of buckling pressure of cylindrical shell have been obtained with theoretical relations and finite element method. Then, using machining process a sample of cylindrical shell with variable thickness has been produced. Buckling pressure and post buckling of the constructed sample have been obtained with the reservoir under closed-ended hydrostatic pressure. Changes of the test sample size have been considered with closed-ended testing apparatuses which are used for new evaluation of buckling. In this research, results of the pressure have been obtained in terms of the volume change. At the end, results of the finite element method have been compared with results of the analytical solutions and experimental data. Results show that the shell with variable thickness has buckling pressure close to shell bucking pressure with mean thickness.
http://jsm.iau-arak.ac.ir/article_531818_b9c01dae275ee843b5182dc7418228e9.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
239
248
External pressure
Buckling, Cylindrical shell
Variable thickness
Post buckling
A.R
Ghasemi
ghasemi@kashanu.ac.ir
true
1
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran
LEAD_AUTHOR
M.H
Hajmohammad
true
2
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran
AUTHOR
[1] Ross C., Humphries M., 1993, The buckling of corrugated circular cylinders under uniformexternal pressure, Thin-Walled Structures 17(4): 259-271.
1
[2] Ghasemi A.R., Hajmohammad M.H., 2010, Optimization of stacking sequence for buckling load using the response surface method and genetic algoritms in laminated composite materials, Journal of Computational Methods in Engineering 31(2): 131-140.
2
[3] Ghasemi A.R., Hajmohammad M.H., 2015, Minimum-weight design of stiffened shell under hydrostatic pressure by genetic algorithm, Steel and Composite Structures 19(1): 75-92.
3
[4] Błachut J., 2003, Collapse tests on externally pressurized toroids, Journal of Pressure Vessel Technology 125(1): 91-96.
4
[5] MacKay J.R., 2007, Experimental Investigation of the Strength of Damaged Pressure Hulls-Phase 1, DRDC Atlantic TM 2006-304.
5
[6] Slankard R., 2010, Tests of the Elastic Stability of a Ring-Stiffened Cylindrical Shell, Model BR-4 (λ= 1.103), Subjected to Hydrostatic Pressure, David Taylor Model Basin Reports.
6
[7] Bosman T., Pegg N., Keuning P., 1993, Experimental and numerical determination of the nonlinear overall collapse of imperfect pressure hull compartments, In Proceedings of Warship’93, International Symposium on Naval Submarines.
7
[8] Bisagni C., 2000, Numerical analysis and experimental correlation of composite shell buckling and post-buckling,Composites Part B: Engineering 31(8): 655-667.
8
[9] Ross C.T., Sadler J., 2000, Inelastic shell instability of thin-walled circular cylinders under external hydrostatic pressure, Ocean Engineering 27(7): 765-774.
9
[10] Błachut J., 2002, Buckling of externally pressurised barrelled shells: a comparison of experiment and theory, International Journal of Pressure Vessels and Piping 79(7): 507-517.
10
[11] MacKay J., Van Keulen F., 2010, A review of external pressure testing techniques for shells including a novel volume-control method, Experimental Mechanics 50(6): 753-772.
11
[12] Gusic G., Combescure A., Jullien J., 2000, The influence of circumferential thickness variations on the buckling of cylindrical shells under external pressure,Computers & Structures 74(4): 461-477.
12
[13] Xue J., Fatt H., 2002, Buckling of a non-uniform, long cylindrical shell subjected to external hydrostatic pressure, Engineering Structures 24(8): 1027-1034.
13
[14] Aksogan O., Sofiyev A., 2002, Dynamic buckling of a cylindrical shell with variable thickness subject to a time-dependent external pressure varying as a power function of time, Journal of Sound and Vibration 254(4): 693-702.
14
[15] Aghajari S., Abedi K., Showkati H., 2006, Buckling and post-buckling behavior of thin-walled cylindrical steel shells with varying thickness subjected to uniform external pressure,Thin-Walled Structures 44(8): 904-909.
15
[16] Nguyen H.L.T., Elishakoff I., Nguyen V.T., 2009, Buckling under the external pressure of cylindrical shells with variable thickness, International Journal of Solids and Structures 46(24): 4163-4168.
16
[17] Lopatin A., Morozov E., 2012, Buckling of a composite cantilever circular cylindrical shell subjected to uniform external lateral pressure,Composite Structures 94(2): 553-562.
17
[18] Chen L., Rotter J.M., Doerich C., 2011, Buckling of cylindrical shells with stepwisevariable wall thickness under uniform external pressure, Engineering Structures 33(12): 3570-3578.
18
ORIGINAL_ARTICLE
Damping Ratio in Micro-Beam Resonators Based on Magneto-Thermo-Elasticity
This paper investigates damping ratio in micro-beam resonators based on magneto-thermo-elasticity. A unique aspect of the present study is the effect of permanent magnetic field on the stiffness and thermo-elastic damping of the micro resonators. In our modeling the theory of thermo-elasticity with interacting of an externally applied permanent magnetic field is taken into account. Combined theoretical and numerical studies investigate the permanent magnetic field effect on the damping ratio in clamped-clamped and cantilever micro-beams. Furthermore, the influence of the magnetic field intensity on the frequency of the micro-beams with thermo-elastic damping effect is evaluated. Such evaluations are used to determine the influence of magnetic field on the vibration amplitude of the resonators. The meaningful conclusion is that the magnetic field increases the equivalent stiffness and thermo-elastic damping and consequently the energy consumption of the resonators.
http://jsm.iau-arak.ac.ir/article_531819_9d9e1d0e9b535cc2896780f18998b5ba.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
249
262
Thermo-elasticity
MEMS
Maxwell stress tensor
Lorentz force
magnetic field
A
Khanchehgardan
a.khanchehgardan@gmail.com
true
1
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
LEAD_AUTHOR
G
Rezazadeh
true
2
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
AUTHOR
A
Amiri
amiri.ahd@gmail.com
true
3
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
AUTHOR
[1] Ghaffari S., Ahn C.H., Ng E.J., Wang S., Kenny T.W., 2013, Crystallographic effects in modeling fundamental behavior of MEMS silicon resonators, Microelectronics Journal 44: 586-591.
1
[2] Kim B., Candler R.N., Hopcroft M.A., Agarwal M., Park W.T., Kenny T.W., 2007, Frequency stability of wafer-scale film encapsulated silicon based MEMS resonators, Sensors and Actuators A 136: 125-131.
2
[3] Saeedi-Vahdat A., Rezazadeh G., 2011, Effects of axial and residual stresses on thermo-elastic damping in capacitive micro-beam resonators, Journal of The Franklin Institute 348: 622-639.
3
[4] Khanchehgardan A., Rezazadeh G., Shabani R., 2014, Effect of mass diffusion on the damping ratio in micro-beam resonators, International Journal of Solids and Structures 51: 3147-3155.
4
[5] Zener C., 1937, Internal friction in solids. I. Theory of internal friction in reeds, Search Results Physical Review 52: 230-235.
5
[6] Nowacki W., 1974, Dynamical problems of thermos diffusion in solids I, Bulletin of the Polish Academy of Sciences Technical Sciences 22: 55-64.
6
[7] Sherief H., Hamza F., Saleh H., 2004, The theory of generalized thermo-elastic diffusion, International Journal of Engineering Science 42: 591-608.
7
[8] Ezzat M.A., Awad E.S., 2009, Micropolar generalized magneto-thermoelasticity with modified Ohm’s and Fourier’s laws, Journal of Mathematical Analysis and Applications 353: 99-113.
8
[9] Abd-Alla A.N., Yahia A.A., Abo-Dahab S.M., 2003, On the reflection of the generalized magneto-thermoviscoelastic plane waves, Chaos Solitons & Fractals 16: 211-231.
9
[10] Othman M.I.A., 2004, Generalized electro magneto-thermo viscoelastic in case of 2-D thermal shock problem in a finite conducting half-space with one relaxation time, Acta Mechanica 169: 37-51.
10
[11] Singh B., Kumar R., 1998, Reflection and refraction of micropolar elastic waves at a loosely bonded interface between viscoelastic solid and micropolar elastic solid, International Journal of Engineering Science 36: 101-117.
11
[12] Aouadi M., 2007, A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion, International Journal of Solids and Structures 44: 5711-5722.
12
[13] Sharma J.N., Sharma Y.D., Sharma P.K., 2008, On the propagation of elasto-thermo diffusive surface waves in heat-conducting materials, Journal of Sound and Vibration 351(4): 927-938.
13
[14] Kumar R., Deswal S., 2002, Surface wave propagation in a micropolar thermo-elastic medium without energy dissipation, Journal of Sound and Vibration 256: 173-178.
14
[15] Moon F.C., Pao Y.H., 1968, Magneto-elastic buckling of a thin plate, Journal of Applied Mechanics 37: 53-58.
15
[16] Shih Y.S., Wu G.Y., Chen E.J.S., 1998, Transient vibrations of a simply-supported beam with axial loads and transverse magnetic fields, Mechanics of Structures and Machines 26(2): 115-130.
16
[17] Sharma K., 2010, Boundary value problems in generalized thermodiffusive elastic medium, Journal of Solid Mechanics 2(4): 348-362.
17
[18] Liu M.F., Chang T.P., 2005, Vibration analysis of a magneto-elastic beam with general boundary conditions subjected to axial load and external force, Journal of Sound and Vibration 288(1-2): 399-411.
18
[19] Kong S., Zhou S., Nie Z., Wang K., 2008, The size-dependent natural frequency of Bernoulli–Euler micro-beams, International Journal of Engineering Science 46: 427-437.
19
[20] Sun Y., Fang D., Soh A.K., 2006, Thermo-elastic damping in micro-beam resonators, International Journal of Solids and Structures 43: 3213-3229.
20
[21] Alizada A.N., Sofiyev A.H., Kuruoglu N., 2012, Stress analysis of a substrate coated by nanomaterials with vacancies subjected to uniform extension load, Acta Mechanica 223: 1371-1383.
21
[22] Alizada A.N., Sofiyev A.H., 2011, On the mechanics of deformation and stability of the beam with a nanocoating, Journal of Reinforced Plastics and Composites 30(18): 1583-1595.
22
ORIGINAL_ARTICLE
Stress Waves in a Generalized Thermo Elastic Polygonal Plate of Inner and Outer Cross Sections
The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material. The frequency equations are obtained by satisfying the irregular boundary conditions along the inner and outer surface of the polygonal plate. The computed non-dimensional wave number and wave velocity of triangular, square, pentagonal and hexagonal plates are given by dispersion curves for longitudinal and flexural antisymmetric modes of vibrations. The roots of the frequency equation are obtained by using the secant method, applicable for complex roots.
http://jsm.iau-arak.ac.ir/article_531820_d6654b66378824f5de9b30901b279f81.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
263
275
Waves in thermal plate
Piezoelectric plate
Layered plate
collocation method
Thermal relaxation times
Temperature sensors
R
Selvamani
selvam1729@gmail.com
true
1
Department of Mathematics, Karunya University, Coimbatore-641 114, Tamil Nadu, India
Department of Mathematics, Karunya University, Coimbatore-641 114, Tamil Nadu, India
Department of Mathematics, Karunya University, Coimbatore-641 114, Tamil Nadu, India
LEAD_AUTHOR
[1] Nagaya K., 1981, Simplified method for solving problems of plates of doubly connected arbitrary shape, Part I: Derivation of the frequency equation, Journal of Sound and Vibration 74(4): 543-551.
1
[2] Nagaya K., 1981, Simplified method for solving problems of plates of doubly connected arbitrary shape, Part II: Applications and experiments, Journal of Sound and Vibration 74(4): 553-564.
2
[3] Nagaya K., 1981, Dispersion of elastic waves in bar with polygonal cross-section, Journal of Acoustical Society of America 70(3): 763-770.
3
[4] Nagaya K., 1983, Vibration of a thick walled pipe or ring of arbitrary shape in its Plane, Journal of Applied Mechanics 50: 757-764.
4
[5] Nagaya K., 1983, Vibration of a thick polygonal ring in its plane, Journal of Acoustical Society of America 74(5): 1441-1447.
5
[6] Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermo elasticity, Journal of Mechanics of Physics of Solids 5: 299-309.
6
[7] Dhaliwal R.S., Sherief H.H., 1980, Generalized thermo elasticity for anisotropic media, Quartely Applied Mathematics 8(1): 1-8.
7
[8] Green A.E., Laws N., 1972, On the entropy production inequality, Archive of Rational Mechanical Analysis 45: 47-53.
8
[9] Green A.E., Lindsay K.A.,1972,Thermo elasticity, Journal of Elasticity 2: 1-7.
9
[10] Suhubi E.S., 1964, Longitudinal vibrations of a circular cylindrical coupled with a thermal field, Journal of Mechanics of Physics of Solids 12: 69-75.
10
[11] Erbay E.S., Suhubi E.S., 1986, Longitudinal wave propagation of thermoelastic cylinder, Journal of Thermal Stresses 9: 279-295.
11
[12] Sharma J.N., Sharma P.K., 2002, Free vibration analysis of homogeneous transversely isotropic thermoelastic cylindrical panel, Journal of Thermal Stresses 25: 169-182.
12
[13] Sharma J.N., Kumar R., 2004, Asymptotic of wave motion in transversely isotropic plates, Journal of Sound and Vibration 274: 747-759.
13
[14] Ashida F., Tauchert T.R., 2001, A general plane-stress solution in cylindrical coordinates for a piezoelectric plate, International Journal of Solids and Structures 30: 4969-4985.
14
[15] Ashida F.,2003,Thermally-induced wave propagation in piezoelectric plate, Acta Mechanica 161: 1-16.
15
[16] Tso Y.K., Hansen C.H., 1995, Wave propagation through cylinder/plate junctions, Journal of Sound and Vibration 186(3): 447-461.
16
[17] Heyliger P.R., Ramirez G., 2000, Free vibration of Laminated circular piezoelectric plates and disc, Journal of Sound and Vibration 229(4): 935-956.
17
[18] Gaikward M.K., Deshmukh K.C., 2005, Thermal deflection of an inverse thermoelastic problem in a thin isotropic circular plate, Journal of Applied Mathematical Modelling 29: 797-804.
18
[19] Varma K.L., 2002, On the propagation of waves in layered anisotropic media in generalized thermo elasticity, International Journal of Engineering Sciences 40: 2077-2096.
19
[20] Ponnusamy P., 2007, Wave propagation in a generalized thermoelastic solid cylinder of arbitrary cross- section, International Journal of Solids and Structures 44: 5336-5348.
20
[21] Ponnusamy P., 2013, Wave propagation in a piezoelectric solid bar of circular cross-section immersed in fluid, International Journal of Pressure Vessels and Piping 105: 12-18.
21
[22] Jiangong Y., Bin W., Cunfu H., 2010, Circumferential thermoelastic waves in orthotropic cylindrical curved plates without energy dissipation, Ultrosonics 53(3):416-423.
22
[23] Jiangong Y., Tonglong X., 2010, Generalized thermoelastici waves in spherical curved plates without energy dissipation, Acta Mechanica 212: 39-50.
23
[24] Jiangong Y., Xiaoming Zh., Tonglong X., 2010, Generalized thermoelastici waves in functionally graded plates without energy dissipation, Composite Structures 93(1): 32-39.
24
[25] Kumar R. , Chawla V., Abbas I.A., 2012, Effect of viscosity on wave propagation in anisotropic thermoelastic medium with three-phase-lag model, Theoretical and Applied Mechanics 39(4): 313-341.
25
[26] Kumar R., Abbas I. A., 2014, Response of thermal source in initially stressed generalized thermoelastic half-space with voids, Journal of Computational and Theoretical Nanoscience 11: 1-8.
26
[27] Kumar R., Abbas I. A., Marin M., 2015, Analytical numerical solution of thermoelastic interactions in a semi-infinite medium with one relaxation time, Journal of Computational and Theoretical Nanoscience 12: 1-5.
27
[28] Ponnusamy P., Selvamani R., 2012, Dispersion analysis of generalized magneto-thermoelastic waves in a transversely isotropic cylindrical panel, Journal of Thermal Stresses 35: 1119-1142.
28
[29] Ponnusamy P., Selvamani R., 2013, Wave propagation in magneto thermo elastic cylindrical panel, European Journal of Mechanics-A solids 39: 76-85.
29
[30] Selvamani R., Ponnusamy P., 2013, Wave propagation in a generalized thermo elastic plate immersed in fluid, Structural Engineering and Mechanics 46(6): 827-842.
30
[31] Selvamani R., Ponnusamy P., 2014, Dynamic response of a solid bar of cardioidal cross-sections immersed in an inviscid fluid, Applied Mathematics and Information Sciences 8(6): 2909-2919.
31
[32] Mirsky I., 1964, Wave propagation in a transversely isotropic circular cylinders, Part I: Theory, Part II: Numerical results, Journal of Acoustical Society of America 37(6): 1016-1026.
32
[33] Antia H.M., 2002, Numerical Methods for Scientists and Engineers, Hindustan Book Agency, New Delhi.
33
ORIGINAL_ARTICLE
A New Finite Element Formulation for Buckling and Free Vibration Analysis of Timoshenko Beams on Variable Elastic Foundation
In this study, the buckling and free vibration of Timoshenko beams resting on variable elastic foundation analyzed by means of a new finite element formulation. The Winkler model has been applied for elastic foundation. A two-node element with four degrees of freedom is suggested for finite element formulation. Displacement and rotational fields are approximated by cubic and quadratic polynomial interpolation functions, respectively. The length of the element is assumed to be so small, so that linear variation could be considered for elastic foundation through the length of the element. By these assumptions and using energy method, stiffness matrix, mass matrix and geometric stiffness matrix of the proposed beam element are obtained and applied to buckling and free vibration analysis. Accuracy of obtained formulation is approved by comparison with the special cases of present problem in other studies. Present formulation shows faster convergence in comparison with conventional finite element formulation. The effects of different parameters on the stability and free vibration of Timoshenko beams investigated and results are completely new.
http://jsm.iau-arak.ac.ir/article_531821_521227bfafc59bc1b71f69959c575b3e.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
276
290
Buckling
Vibration
Timoshenko beam
Variable elastic foundation
Finite element formulation
A
Mirzabeigy
true
1
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran---
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran---
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran---
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
AUTHOR
M
Haghpanahi
true
2
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
AUTHOR
R
Madoliat
madoliat@iust.ac.ir
true
3
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
LEAD_AUTHOR
[1] Rao S.S., 2007, Vibration of Continuous Systems, John Wiley & Sons.
1
[2] Levinson M., 1981, A new rectangular beam theory, Journal of Sound and Vibration 74: 81-87.
2
[3] Bickford W.B., 1982, A consistent higher order beam theory, Developments in Theoretical and Applied Mechanics 11: 137-150.
3
[4] Rossi R.E., Laura P.A.A., 1993, Free vibrations of Timoshenko beams carrying elastically mounted, concentrated masses, Journal of Sound and Vibration 165: 209-223.
4
[5] Esmailzadeh E., Ohadi A.R., 2000, Vibration and stability analysis of non-uniform Timoshenko beams under axial and distributed tangential loads, Journal of Sound and Vibration 236: 443-456.
5
[6] Lee J., Schultz W.W., 2004, Eigenvalue analysis of Timoshenko beams and axismmetric Mindlin plates by the pseudospectral method, Journal of Sound and Vibration 239: 609-621.
6
[7] Moallemi-Oreh A., Karkon M., 2013, Finite element formulation for stability and free vibration analysis of Timoshenko beam, Advances in Acoustics and Vibration 2013: 841215-841222.
7
[8] Yokoyama T., 1991, Vibrations of Timoshenko beam-columns on two-parameter elastic foundations, Earthquake Engineering & Structural Dynamics 20: 355-370.
8
[9] Lee S.J., Park K.S., 2013, Vibrations of Timoshenko beams with isogeometric approach, Applied Mathematical Modelling 37: 9174-9190.
9
[10] Mohammadimehr M., Saidi A.R., Arani A.G., Arefmanesh A., Han Q., 2011, Buckling analysis of double-walled carbon nanotubes embedded in an elastic medium under axial compression using non-local Timoshenko beam theory, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225: 498-506.
10
[11] Ghorbanpourarani A., Mohammadimehr M., Arefmanesh A., Ghasemi A., 2010, Transverse vibration of short carbon nanotubes using cylindrical shell and beam models, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224: 745-756.
11
[12] Arani A.G., Hashemian M., Loghman A., Mohammadimehr M., 2011, Study of dynamic stability of the double-walled carbon nanotube under axial loading embedded in an elastic medium by the energy method, Journal of Applied Mechanics and Technical Physics 52: 815-824.
12
[13] Ghorbanpour Arani A., Atabakhshian V., Loghman A., Shajari A.R., Amir S., 2012, Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method, Physica B: Condensed Matter 407: 2549-2555.
13
[14] Chen W.Q., Lu C.F., Bian Z.G., 2004, A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation, Applied Mathematical Modelling 28: 877-890.
14
[15] Malekzadeh P., Karami G., 2008, A mixed differential quadrature and finite element free vibration and buckling analysis of thick beams on two-parameter elastic foundation, Applied Mathematical Modelling 32: 1381-1394.
15
[16] Balkaya M., Kaya M.O., Saglamer A., 2009, Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method, Archive of Applied Mechanics 79: 135-146.
16
[17] Shariyat M., Alipour M.M., 2011, Differential transform vibration and modal stress analyses of circular plates made of two-directional functionally graded materials resting on elastic foundations, Archive of Applied Mechanics 81: 1289-1306.
17
[18] Binesh S.M., 2012, Analysis of beam on elastic foundation using the radial point interpolation method, Scientia Iranica 19: 403-409.
18
[19] Civalek O., Akgoz B., 2013, Vibration analysis of micro-scaled sector shaped graphene surrounded by an elastic matrix, Computational Materials Science 77: 295-303.
19
[20] Mirzabeigy A., 2014, Semi-analytical approach for free vibration analysis of variable cross-section beams resting on elastic foundation and under axial force, International Journal of Engineering, Transactions C: Aspects 27: 385-394.
20
[21] Mirzabeigy A., Bakhtiari-Nejad F., 2014, Semi-analytical approach for free vibration analysis of cracked beams resting on two-parameter elastic foundation with elastically restrained ends, Frontiers of Mechanical Engineering 9: 191-202.
21
[22] Attar M., Karrech A., Regenauer-Lieb K., 2014, Free vibration analysis of a cracked shear deformable beam on a two-parameter elastic foundation using a lattice spring model, Journal of Sound and Vibration 333: 2359-2377.
22
[23] Salehipour H., Hosseini R., Firoozbakhsh K., 2015, Exact 3-D solution for free bending vibration of thick FG plates and homogeneous plate coated by a single FG layer on elastic foundations, Journal of Solid Mechanics 7:28-40.
23
[24] Eisenberger M., Clastornik J., 1987, Vibrations and buckling of a beam on a variable Winkler elastic foundation, Journal of Sound and Vibration 115: 233-241.
24
[25] Eisenberger M., Clastornik J., 1987, Beams on variable two-parameter elastic foundation, Journal of Engineering Mechanics 113(10): 1454.
25
[26] Zhou D., 1993, A general solution to vibrations of beams on variable Winkler elastic foundation, Computers & Structures 47: 83-90.
26
[27] Pradhan S.C., Murmu T., 2009, Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method, Journal of Sound and Vibration 321: 342-362.
27
[28] Kacar A., Tan H.T., Kaya M.O., 2011, Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method, Mathematical and Computational Applications 16: 773-783.
28
[29] Teodoru I.B., Musat V., 2008, Beam elements on linear variable two-parameter elastic foundation, Buletinul Institutului Politehnic din Iaşi 2: 69-78.
29
[30] Bazant Z.P., Cedolin L., 1991, Stability of Structures, Oxford University Press, USA.
30
ORIGINAL_ARTICLE
Experimental and Numerical Simulation Investigation on Crushing Response of Foam-Filled Conical Tubes Stiffened with Annular Rings
In this paper, crashworthiness characteristics of conical steel tubes stiffened by annular rings and rigid polyurethane foam are investigated. For this purpose, wide circumferential rings are created from the outer surface of the conical tube at some determined areas along tube length. In fact, this method divides a long conical tube into several tubes of shorter length. When this structure is subjected to axial compression, folds are shaped within the space of these annular rings. In this study, several numerical simulations using ABAQUS 5.6 finite element explicit code are carried out to study of crashworthiness characteristics of the empty and the foam-filled thin-walled conical tubes. In order to verify these numerical results, a series of quasi-static axial compression tests are performed. Moreover, load-displacement curves, deformation mechanism of the structure, energy absorption, crush force efficiency (CFE), initial peak load with different number of rings are described under axial compression. The results show that a conical tube with stiff rings as a shock absorber could be improved or adjusted the crushing mode of deformation and energy absorption ability.
http://jsm.iau-arak.ac.ir/article_531822_6170d78b5d97b5ce8bd0dccc6e9e835e.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
291
301
Conical
Annular rings
Polyurethane Foam
energy absorption
Maximum crushing load
CFE
M.J
Rezvani
m.rezvani@semnaniau.ac.ir
true
1
Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran
Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran
Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran
LEAD_AUTHOR
[1] Abramowicz W., 2003, Thin-walled structures as impact energy absorbers, Thin-Walled Structures 41: 91-107.
1
[2] Nagel G., Thambiratnam D., 2004, A numerical study on the impact response and energy absorption of tapered thin-walled tubes, International Journal of Mechanical Sciences 46: 201-216.
2
[3] Nagel G., Thambiratnam D., 2005, Computer simulation and energy absorption of tapered thin-walled rectangular tubes, Thin-Walled Structures 43: 1225-1242.
3
[4] Aljawi A., Alghamdi A., Abu-Mansour T., Akyurt M., 2005, Inward inversion of capped-end frusta as impact energy absorbers, Thin-Walled Structures 43: 647-664.
4
[5] Guillow S., Lu G., Grzebieta R., 2001, Quasi-static axial compression of thin-walled circular aluminium tubes, International Journal of Mechanical Sciences 43: 2103-2123.
5
[6] Alavi Nia A., Haddad Hamedani J., 2010, Comparative analysis of energy absorption and deformations of thin walled tubes with various section geometries, Thin-Walled Structures 48: 946-954.
6
[7] Mokhtarnezhad F., Salehghaffari S., Tajdari M., 2009, Improving the crashworthiness characteristics of cylindrical tubes subjected to axial compression by cutting wide grooves from their outer surface, International Journal of Crashworthiness 14: 601-611.
7
[8] Salehghaffari S., Tajdari M., Panahi M., Mokhtarnezhad F., 2010, Attempts to improve energy absorption characteristics of circular metal tubes subjected to axial loading, Thin-Walled Structures 48: 379-390.
8
[9] Reid S., Reddy T., 1986, Static and dynamic crushing of tapered sheet metal tubes of rectangular cross-section, International Journal of Mechanical Sciences 28: 623-637.
9
[10] Mamalis A., Johnson W., 1983, The quasi-static crumpling of thin-walled circular cylinders and frusta under axial compression, International Journal of Mechanical Sciences 25:713-732.
10
[11] Mamalis A., Johnson W., Viegelahn G., 1984, The crumpling of steel thin-walled tubes and frusta under axial compression at elevated strain-rates: some experimental results, International Journal of Mechanical Sciences 26: 537-547.
11
[12] Mamalis A., Manolakos D., Saigal S., Viegelahn G., Johnson W., 1986, Extensible plastic collapse of thin-wall frusta as energy absorbers, International Journal of Mechanical Sciences 28: 219-229.
12
[13] Gupta N., Sheriff N.M., Velmurugan R., 2006, A study on buckling of thin conical frusta under axial loads, Thin-Walled Structures 44: 986-996.
13
[14] Sheriff N.M., Gupta N., Velmurugan R., Shanmugapriyan N., 2008, Optimization of thin conical frusta for impact energy absorption, Thin-Walled Structures 46: 653-666.
14
[15] Spagnoli A., Chryssanthopoulos M., 1999, Elastic buckling and postbuckling behaviour of widely-stiffened conical shells under axial compression, Engineering structures 21: 845-855.
15
[16] Gupta N., Prasad G.E., Gupta S., 1997, Plastic collapse of metallic conical frusta of large semi-apical angles, International Journal of Crashworthiness 2: 349-366.
16
[17] El-Sobky H., Singace A., Petsios M., 2001, Mode of collapse and energy absorption characteristics of constrained frusta under axial impact loading, International Journal of Mechanical Sciences 43: 743-757.
17
[18] Prasad G.E., Gupta N., 2005, An experimental study of deformation modes of domes and large-angled frusta at different rates of compression, International Journal of Impact Engineering 32: 400-415.
18
[19] Ghamarian A., Zarei H., 2012, Crashworthiness investigation of conical and cylindrical end-capped tubes under quasi-static crash loading, International Journal of Crashworthiness 17: 19-28.
19
[20] Rezvani M.J., Nouri M.D., 2013, Axial crumpling of aluminum frusta tubes with induced axisymmetric folding patterns, Arabian Journal for Science and Engineering 39: 2179-2190.
20
[21] Damghani Nouri M., Rezvani M.J., 2012, Experimental investigation of polymeric foam and grooves effects on crashworthiness characteristics of Thin-walled conical tubes, Experimental Techniques 38: 54-63.
21
[22] Rezvani M., Damghani Nouri M., 2015, Analytical Model for Energy Absorption and Plastic Collapse of Thin-Walled Grooved Frusta Tubes, Mechanics of Advanced Materials and Structures 22: 338-348.
22
[23] Seitzberger M., Rammerstorfer F.G., Gradinger R., Degischer H., Blaimschein M., Walch C., 2000, Experimental studies on the quasi-static axial crushing of steel columns filled with aluminium foam, International Journal of Solids and Structures 37: 4125-4147.
23
[24] Ahmad Z., Thambiratnam D.P., 2009, Dynamic computer simulation and energy absorption of foam-filled conical tubes under axial impact loading, Computers & Structures 87: 186-197.
24
[25] Abramowicz W., Wierzbicki T., 1988, Axial crushing of foam-filled columns, International Journal of Mechanical Sciences 30: 263-271.
25
[26] Yamada Y., Banno T., Xie Z., Wen C., 2005, Energy absorption and crushing behaviour of foam-filled aluminium tubes, Materials transactions 46: 2633-2636.
26
[27] Reddy T., Wall R., 1988, Axial compression of foam-filled thin-walled circular tubes, International Journal of Impact Engineering 7:151-166.
27
[28] Thornton P.,1980, Energy absorption by foam filled structures, SAE International 800081.
28
[29] Reid S., Reddy T., Gray M., 1986, Static and dynamic axial crushing of foam-filled sheet metal tubes, International Journal of Mechanical Sciences 28: 295-322.
29
[30] Darvizeh A., Darvizeh M., Ansari R., Meshkinzar A., 2013, Effect of low density, low strength polyurethane foam on the energy absorption characteristics of circumferentially grooved thick-walled circular tubes, Thin-Walled Structures 71: 81-90.
30
[31] Ahmad Z., Thambiratnam D., 2009, Crushing response of foam-filled conical tubes under quasi-static axial loading, Materials & Design 30: 2393-2403.
31
[32] Adachi T., Tomiyama A., Araki W., Yamaji A., 2008, Energy absorption of a thin-walled cylinder with ribs subjected to axial impact, International Journal of Impact Engineering 35: 65-79.
32
[33] Salehghaffari S., Rais-Rohani M., Najafi A., 2011, Analysis and optimization of externally stiffened crush tubes, Thin-Walled Structures 49: 397-408.
33
[34] Rezvani M.J., Jahan A., 2015, Effect of initiator, design, and material on crashworthiness performance of thin-walled cylindrical tubes: A primary multi-criteria analysis in lightweight design, Thin-Walled Structures 96:169-182.
34
[35] Ghamarian A., Abadi M.T., 2011, Axial crushing analysis of end-capped circular tubes, Thin-Walled Structures 49: 743-752.
35
[36] Mirfendereski L., Salimi M., Ziaei-Rad S., 2008, Parametric study and numerical analysis of empty and foam-filled thin-walled tubes under static and dynamic loadings, International Journal of Mechanical Sciences 50: 1042-1057.
36
ORIGINAL_ARTICLE
Thermal Creep Analysis of Functionally Graded Thick-Walled Cylinder Subjected to Torsion and Internal and External Pressure
Safety analysis has been done for the torsion of a functionally graded thick-walled circular cylinder under internal and external pressure subjected to thermal loading. In order to determine stresses the concept of Seth’s transition theory based on generalized principal strain measure has been used. This theory simpliﬁes the set of mechanical equations by mentioning the order of the measure of deformation. This theory helps to achieve better agreement between the theoretical and experimental results. Results have been analyzed with or without thermal effects for functionally graded and homogeneous cylinder with linear and nonlinear strain measure.From the analysis, it has been concluded that in creep torsion cylinder made up of less functionally graded material (FGM) under pressure is better choice for designing point of view as compared to homogeneous cylinder. This is due to shear stresses which are maximum for cylinder made up of functionally graded material as compared to homogeneous material.
http://jsm.iau-arak.ac.ir/article_531823_85fcd51d7247de27dfeaca6e0a6f6b67.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
302
318
Thermal
Creep
Torsion
Strain measure
Functionally graded material
S
Sharma
sanjiit12@rediffmail.com
true
1
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
LEAD_AUTHOR
S
Yadav
true
2
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
AUTHOR
R
Sharma
true
3
Department of Mathematics, School of Basic Sciences and Research Sharde University , Greater Noida, India
Department of Mathematics, School of Basic Sciences and Research Sharde University , Greater Noida, India
Department of Mathematics, School of Basic Sciences and Research Sharde University , Greater Noida, India
AUTHOR
[1] Horgan C.O., Chan A.M., 1998, Torsion of functionally graded isotropic linearly elastic bars, Journal of Elasticity 52(2): 181-199.
1
[2] Pindera M.J., Aboudi J., Arnold S.M., Jones W.F., 1995, Use of Composites in Multi-Phased and Functionally Graded Materials, Langford Lane, Kidlington, Oxford, England OX5 1GB.
2
[3] Udupa G., Rao S.S., Gangadharan K.V., 2014, Functionally graded composite materials: An overview, Procedia Materials Science 5: 1291-1299.
3
[4] Sokolnikoff I.S., 1956, Mathematical Theory of Elasticity, Mcgraw-Hill, New York.
4
[5] Chakrabarty J., 2006, Theory of Plasticity, Elsevier Butterworth-Heinemann, San Diego.
5
[6] Seth B., 1962, Transition theory of elastic-plastic deformation, creep and relaxation, Nature 195: 896-897.
6
[7] Seth B.R., 1961, Generalized Strain Measure with Applications to Physical Problems, DTIC Document.
7
[8] Seth B.R., 1966, Measure concept in mechanics, International Journal of Non-Linear Mechanics 1(1): 35-40.
8
[9] Seth B.R., 1964, Elastic‐plastic transition in torsion, ZAMM 44(6): 229-233.
9
[10] Gupta S.K., Dharmani R.L., Rana V.D., 1978, Creep transition in torsion, International Journal of Non-Linear Mechanics 13(5): 303-309.
10
[11] Gupta S., Rana V., 1980, Torsion of a transversely isotropic cylinder in the theory of creep, ZAMM 60(11): 549-555.
11
[12] Lekhnitskij S.G., 1981, Theory of the Elasticity of Anisotropic Body, Mir Publishers, Moscow.
12
[13] Rooney F.J., Ferrari M., 1995, Torsion and flexure of inhomogeneous elements, Composites Engineering 5(7): 901-911.
13
[14] Ting T.C.T., 1996, Pressuring, shearing, torsion and extension of a circular tube or bar of cylindrically anisotropic material, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society.
14
[15] Ting T.C.T., 1999, New solutions to pressuring, shearing, torsion and extension of a cylindrically anisotropic elastic circular tube or bar, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society.
15
[16] Chen T. , Chung C.T., Lin W.L., 2000, A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension and a uniform temperature change, International Journal of Solids and Structures 37(37): 5143-5159.
16
[17] Tarn J.Q., 2002, Exact solutions of a piezoelectric circular tube or bar under extension, torsion, pressuring, shearing, uniform electric loading and temperature change, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences,The Royal Society.
17
[18] Batra R.C., 2006, Torsion of a functionally graded cylinder, AIAA Journal 44(6): 1363-1365.
18
[19] Uscilowska A., 2010, Implementation of the method of fundamental solutions and homotopy analysis method for solving a torsion problem of a rod made of functionally graded material, Advanced Materials Research 123-125: 551-554.
19
[20] Bayata Y., Alizadehb M., Bayatc A., 2013, Generalized solution of functionally graded hollow cylinder under torsional load, Journal of Computational & Applied Research in Mechanical Engineering 2(2): 23-32.
20
[21] Sharma R., Aggarwal A.K., Sharma S., 2014, Collapse pressure analysis in torsion of a functionally graded thick-walled circular cylinder under external pressure, Procedia Engineering 86: 738-747.
21
[22] McKeen L.W., 2008, Effect of Temperature and Other Factors on Plastics and Elastomers, William Andrew.
22
ORIGINAL_ARTICLE
Vibration Analysis of a Rotating Nanoplate Using Nonlocal Elasticity Theory
The nanostructures under rotation have high promising future to be used in nano-machines, nano-motors and nano-turbines. They are also one of the topics of interests and it is new in designing of rotating nano-systems. In this paper, the scale-dependent vibration analysis of a nanoplate with consideration of the axial force due to the rotation has been investigated. The governing equation and boundary conditions are derived using the Hamilton’s principle based on nonlocal elasticity theory. The boundary conditions of the nanoplate are considered as free-free in y direction and two clamped-free (cantilever plate) and clamped-simply (propped cantilever) in x direction. The equations have been solved using differential quadrature method to determine natural frequencies of the rotating nanoplate. For validation, in special cases, it has been shown that the obtained results coincide with literatures. The effects of the nonlocal parameter, aspect ratio, hub radius, angular velocity and different boundary conditions on the first three frequencies have been investigated. Results show that vibration behavior of the rotating nanoplate with cantilever boundary condition is different from other boundary conditions.
http://jsm.iau-arak.ac.ir/article_531824_c4e4e72f55b3a3a2cde7fda2f9b20ed3.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
319
337
Rotating nanoplate
Cantilever nanoplate
Propped cantilever nanoplate
Nonlocal elasticity theory
DQM
M
Ghadiri
ghadiri@eng.ikiu.ac.ir
true
1
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
LEAD_AUTHOR
N
Shafiei
true
2
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
AUTHOR
S
Hossein Alavi
true
3
School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
AUTHOR
[1] Van Delden R. A., Ter Wiel M. K. J., Pollard M. M., Vicario J., Koumura N., Feringa B. L., 2005, Unidirectional molecular motor on a gold surface, Nature 437(7063): 1337-1340.
1
[2] Li J., Wang X., Zhao L., Gao X., Zhao Y., Zhou R., 2014, Rotation motion of designed nano-turbine, Scientific Reports 4: 5846.
2
[3] Fleck N., Muller G.M., Ashby M.F., Hutchinson J.W. ,1994, Strain gradient plasticity: theory and experiment, Acta Metallurgica et Materialia 42(2): 475-487.
3
[4] Chong A. C. M., Yang F., Lam D. C. C., Tong P., 2001, Torsion and bending of micron-scaled structures, Journal of Materials Research 16(04): 1052-1058.
4
[5] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 4703-4710.
5
[6] Eringen A.C., 1972, Linear theory of nonlocal elasticity and dispersion of plane waves, International Journal of Engineering Science 10(5): 425-435.
6
[7] Chen M., 2013, Large deflection of a cantilever nanobeam under a vertical end load, Applied Mechanics and Materials 353: 3387-3390.
7
[8] Murmu T., Adhikari S., 2010, Scale-dependent vibration analysis of prestressed carbon nanotubes undergoing rotation, Journal of Applied Physics 108(12): 123507-123514.
8
[9] Narendar S., Gopalakrishnan S., 2011, Nonlocal wave propagation in rotating nanotube,Results in Physics 1(1): 17-25.
9
[10] Narendar, S., Mathematical modelling of rotating single-walled carbon nanotubes used in nanoscale rotational actuators, Defence Science Journal 61(4): 317-324.
10
[11] Akgoz B.,CIvalek O., 2012, Analysis of micro-sixed beams for various boundary conditions based on the strain gradient elasticity theory, Archive of Applied Mechanics 82(3): 423-443.
11
[12] Challamel N., Wang C.M., 2008, The small length scale effect for a non-local cantilever beam: a paradox solved, Nanotechnology 19(34): 345703.
12
[13] Lim C., Li C., Yu J., 2009, The effects of stiffness strengthening nonlocal stress and axial tension on free vibration of cantilever nanobeams, Interaction and Multiscale Mechanics: an International Journal 1(3): 223-233.
13
[14] Narendar S., 2012, Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia, Applied Mathematics and Computation 219(3): 1232-1243.
14
[15] Pradhan S.C., Murmu T., 2010, Application of nonlocal elasticity and DQM in the flapwise bending vibration of a rotating nanocantilever, Physica E: Low-dimensional Systems and Nanostructures 42(7): 1944-1949.
15
[16] Aranda-Ruiz J., Loya J., Fernández-Sáez J., 2012, Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory, Composite Structures 94(9): 2990-3001.
16
[17] Ghadiri M., Hosseini S., Shafiei N., 2016, A power series for vibration of a rotating nanobeam with considering thermal effect, Mechanics of Advanced Materials and Structures 23(12): 1414-1420.
17
[18] Ghadiri M., Shafiei N., 2016, Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen’s theory using differential quadrature method, Microsystem Technologies 22(12): 2853-2867.
18
[19] Kiani K., 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle, Part I: Theoretical Formulations, Physica E: Low-dimensional Systems and Nanostructures 44(1): 229-248.
19
[20] Kiani K., 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle, Part II: Parametric Studies, Physica E: Low-dimensional Systems and Nanostructures 44(1): 249-269.
20
[21] Kiani K., 2011, Small-scale effect on the vibration of thin nanoplates subjected to a moving nanoparticle via nonlocal continuum theory, Journal of Sound and Vibration 330(20): 4896-4914.
21
[22] Kiani K., 2013,Vibrations of biaxially tensioned-embedded nanoplates for nanoparticle delivery, Indian Journal of Science and Technology 6(7): 4894-4902.
22
[23] Salehipour H., Nahvi H., Shahidi A., 2015, Exact analytical solution for free vibration of functionally graded micro/nanoplates via three-dimensional nonlocal elasticity, Physica E: Low-dimensional Systems and Nanostructures 66: 350-358.
23
[24] Ansari R., Shahabodini A., Shojaei M.F., 2016, Nonlocal three-dimensional theory of elasticity with application to free vibration of functionally graded nanoplates on elastic foundations, Physica E: Low-dimensional Systems and Nanostructures 76: 70-81.
24
[25] Wang C., Reddy J.N., Lee K., 2000, Shear Deformable Beams and Plates: Relationships with Classical Solutions, Elsevier.
25
[26] Reddy J.N., El-Borgi S., 2014, Eringen’s nonlocal theories of beams accounting for moderate rotations, International Journal of Engineering Science 82(0):159-177.
26
[27] Wang J.S., Shaw D., Mahrenholtz O., 1987, Vibration of rotating rectangular plates, Journal of Sound and Vibration 112(3): 455-468.
27
[28] Shu C., Richards B.E.,1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids 15(7): 791-798.
28
[29] Pradhan S.C., Phadikar J.K., 2009, Nonlocal elasticity theory for vibration of nanoplates, Journal of Sound and Vibration 325(1-2): 206-223.
29
[30] Mohammadi M., Moradi A., Ghayour M., Farajpour A., 2014, Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures 11: 437-458.
30
[31] Shen Z. B., Tang H.L., Daokui L., Tang G.J., 2012, Vibration of single-layered graphene sheet-based nanomechanical sensor via nonlocal Kirchhoff plate theory, Computational Materials Science 61(0):200-205.
31
[32] Ansari R., Rajabiehfard R., Arash B., 2010, Nonlocal finite element model for vibrations of embedded multi-layered graphene sheets, Computational Materials Science 49(4): 831-838.
32
ORIGINAL_ARTICLE
Axisymmetric Buckling Analysis of Porous Truncated Conical Shell Subjected to Axial Load
This paper studied Buckling analysis of porous truncated conical shell subjected to axial load. It is considered that a fluid undrained between porous material and the Porous material properties vary across the thickness of shell with a specific function also assumed that the edge of the shell is simply supported. The governing equations are based on the Sanders kinematics equations and the first-order shell theory and by using of variational formulations. The general mechanical non-linear equilibrium and linear stability equations are derived. At the end, the result of dimensionless buckling critical load ratio dimensionless thickness in different condition such as variation in thickness, porosity and angle of conical shell is investigated. The mechanical load results are verified by the known results in the literature.
http://jsm.iau-arak.ac.ir/article_531825_6ecc21691f185295dadad4cdaa20c266.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
338
350
Axisymmetric
Porous material
Buckling analysis
Conical shell
Axial load
M
Zarghami Dehaghani
true
1
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
AUTHOR
M
Jabbari
m_jabbari@azad.ac.ir
true
2
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
LEAD_AUTHOR
[1] Detournay E., Cheng A.H.D., 1993, Fundamentals of Poroelasticity, Chapter 5 in Comprehensive Rock Engineering: Principles, Practice and Projects, Vol. II, Analysis and Design Method, ed. C. Fairhurst, Pergamon Press.
1
[2] Seide P., 1956, Axisymmetric buckling of circular cones under axial compression, Journal of Applied Mechanics 23: 625-628.
2
[3] Seide P., 1961, Buckling of circular cones under axial compression, Journal of Applied Mechanics 28: 315-326.
3
[4] Singer J., 1961, Buckling of circular conical shells under axisymmetrical external pressure, Journal of Mechanical Engineering Science 3: 330-339.
4
[5] Baruch M., Singer J., 1965, General instability of stiffened conical shells under hydrostatic pressure, Aeronautical Quarterly 26: 187-204.
5
[6] Baruch M., Harari O., Singer J., 1967, Influence of in-plane boundary conditions on the stability of conical shells under hydrostatic pressure, Israel Journal of Technology 5(1-2): 12-24.
6
[7] Baruch M., Harari O., Singer J., 1970, Low buckling loads of axially compressed conical shells, Journal of Applied Mechanics 37: 384-392.
7
[8] Singer J., 1962, Buckling of orthotropic and stiffened conical shells, NASA TN D-1510: 463-479.
8
[9] Singer J., 1963, Donnell-type equations for bending and buckling of orthotropic conical shells, Journal of Applied Mechanics 30: 303-305.
9
[10] Weigarten V.I., Seide P., 1965, Elastic stability of thin walled cylindrical and conical shells under combined external pressure and axial compression, AIAA Journal 3: 913-920.
10
[11] Weigarten V.I., Seide P., 1965, Elastic stability of thin walled cylindrical and conical shells under combined internal pressure and axial compression, AIAA Journal 3: 1118-1125.
11
[12] Ari-Gur J., Baruch M., Singer J., 1979, Buckling of cylindrical shells under combined axial preload, nonuniform heating and torque, Experimental Mechanics 19: 406-410.
12
[13] Lu S.Y., Chang L.K., 1967, Thermal buckling of conical shells, AIAA Journal 5(10): 1877-1882.
13
[14] Tani J., 1984, Buckling of truncated conical shells under combined pressure and heating, Journal of Thermal Stresses 7: 307-316.
14
[15] Bhangale R., Ganesan N., Padmanabhan C.h., 2006, Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells, Journal of Sound and Vibration 292: 341-371.
15
[16] Sofiyev A.H., 2007, Thermo-elastic stability of functionally graded truncated conical shells, Composite Structures 77: 56-65.
16
[17] Naj R., Sabzikar M., Eslami M.R., 2008, Thermal and mechanical instability of functionally graded truncated conical shells, Thin-Walled Structures 46: 65-78.
17
[18] Sofiyev A.H., Kuruoghlu N., Turkmen M., 2009, Buckling of FGM hybrid truncated conical shells subjected to hydrostatic pressure, Thin-Walled Structures 47: 61-72.
18
[19] Sofiyev A.H.,2009, The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure, Composite Structures 89: 356-366.
19
[20] Sofiyev A.H., 2010, The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure, Composite Structures 92: 488-498.
20
[21] Sofiyev A.H., 2010, Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation, Mechanics Research Communications 37: 539-544.
21
[22] Sofiyev A.H., 2011, Thermal buckling of FGM shells resting on a two-parameter elastic foundation, Thin-Walled Structures 49: 1304-1311.
22
[23] Bich D., Phoung N., Tung H., 2012, Buckling of functionally graded conical panels under mechanical loads, Composite Structures 94: 1379-1384.
23
[24] Sofiyev A.H., 2011, Influence of the initial imperfection on the non-linear buckling response of FGM truncated conical shells, International Journal of Mechanical Sciences 53: 753-762.
24
[25] Mirzavand B., Eslami M.R., 2011, A closed-form solution for thermal buckling of piezoelectric FGM hybrid cylindrical shells with temperature dependent properties, Mechanics of Advanced Materials and Structures 18: 185-193.
25
[26] Jabbari M., Mojahedin A., Haghi M., 2014,Buckling analysis of thin circular FG plates made of saturated porous-soft ferromagnetic materials in transverse magnetic field, Thin-Walled Structures 85: 50-56.
26
[27] Jabbari M., Farzaneh Joubaneh E., Mojahedin A.,2014,Thermal buckling analysis of porous circular plate with piezoelectric actuators based on first order shear deformation theory, International Journal of Mechanical Sciences 83: 57-64.
27
[28] Jabbari M., Farzaneh Joubaneh E., Khorshidvand A.R., Eslami M.R., 2013, Buckling analysis of porous circular plate with piezoelectric actuator layers under uniform radial compression, International Journal of Mechanical Sciences 70: 50-56.
28
[29] Magnucka-Blandzi E., 2008, Axi-symmetrical deflection and buckling of circular porous-cellular plate, Thin-Walled Structures 46(3): 333-337.
29
[30] Liu P.S., 2011, Failure by buckling mode of the pore-strut for isotropic three-dimensional reticulated porous metal foams under different compressive loads, Materials & Design 32(6): 3493-3498.
30
[31] Nguyen D.D., Pham H.C., Vu M.A., Vu D.Q., Phuong T., Ngo D.T., Nguyen H.T., 2015,Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment, Composite Structures 132: 597-609.
31
[32] Meyers C.A., Hyer M.W., 1991, Thermal buckling and postbuckling of symmetrically laminated composite plates, Journal of Thermal Stresses 14: 519-540.
32
ORIGINAL_ARTICLE
Finite Element Instability Analysis of the Steel Joist of Continuous Composite Beams with Flexible Shear Connectors
Composite steel/concrete beams may buckle in hogging bending regions. As the top flange of I-beam in that arrangement is restricted from any translational deformation and twist, the web will distort during buckling presenting a phenomenon often described as restricted distortional buckling. There are limited studies available in the literature of restricted distortional buckling of composite steel/concrete I-beams subjected to negative or hogging bending. There is none however that includes the effect of partial shear interaction. In this paper, finite element models for in-plane analysis and out-of-plane buckling of continuous composite I-beams including the effects of partial shear interaction are presented.
http://jsm.iau-arak.ac.ir/article_531826_d4868ada6bc9b08fbee745ca9fe91a1d.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
351
369
Finite element model
In-plane analysis
Out-of-plane buckling
Restricted distortional buckling
Partial shear interaction
H
Bakhshi
h.bakhshi@hsu.ac.ir
true
1
Engineering Faculty, Hakim Sabzevari University, Sabzevar, Iran
Engineering Faculty, Hakim Sabzevari University, Sabzevar, Iran
Engineering Faculty, Hakim Sabzevari University, Sabzevar, Iran
LEAD_AUTHOR
H.R
Ronagh
true
2
Instiutute for Infrastructure Engineering, Western Sydney University, Penrith, NSW 2751, Australia
Instiutute for Infrastructure Engineering, Western Sydney University, Penrith, NSW 2751, Australia
Instiutute for Infrastructure Engineering, Western Sydney University, Penrith, NSW 2751, Australia
AUTHOR
[1] Newmark N.M., 1951, Test and analysis of composite beams with incomplete interaction, Proceedings of Society for Experimental Stress Analysis 9(1): 75-92.
1
[2] Bradford M.A., Gao Z.,1992, Distortional buckling solutions for continuous composite beams, Journal of Structural Engineering 118(1): 73-89.
2
[3] Dekker N.W., 1995, Factors influencing the strength of continuous composite beams in negative bending, Journal of Constructional Steel Research 34: 161-185.
3
[4] Tehami M.,1997, Local buckling in class 2 continuous composite beams, Journal of Constructional Steel Research 43(1-3): 141-159.
4
[5] Jasim N.A., Atalla A., 1999, Deflections of partially composite continuous beams: A simple approach, Journal of Constructional Steel Research 49: 291-301.
5
[6] Nie J., Cai C.S., 2003, Steel-concrete composite beams considering shear slip effects, Journal of Structural Engineering 129(4): 495-506.
6
[7] Nie J., Fan J., Cai C. S., 2004, Stiffness and deflection of steel-concrete composite beams under negative bending, Journal of Structural Engineering 130(11): 1842-1851.
7
[8] Ranzi G., Bradford M.A., Uy B., 2004, A direct stiffness analysis of a composite beam with partial interaction, International Journal for Numerical Methods in Engineering 61: 657-672.
8
[9] Bradford M.A., 1997, Lateral-distortional buckling of continuously restrained columns, Journal of Constructional Steel Research 42(2): 121-139.
9
[10] Bradford M.A., Ronagh H.R., 1997, Generalized elastic buckling of restrained I-beams by FEM, Journal of Structural Engineering 23(12): 1631-1637.
10
[11] Bradford M.A., Trahair N.S., 1981, Distortional buckling of I-beams, Journal of The Structural Division 107: 355-370.
11
[12] Bradford M.A., Ronagh H.R., 1997, Elastic distortional buckling of tapered composite beams, Journal of Structural Engineering and Mechanics 5(3): 269-281.
12
[13] Bradford M.A., Ge X.P., 1997, Elastic distortional buckling of continuous I-beams, Journal of Constructional Steel Research 41(2-3): 249-266.
13
[14] Bradford M.A., Kemp A.R., 2000, Buckling in continuous composite beams, Progress in Structural Engineering and Materials 2: 169-178.
14
[15] Vrcelj Z., 2004, Buckling Modes in Continuous Composite Beams, PhD Thesis, The University of New South Wales, Sydney, Australia.
15
[16] Xu R., Wu Y.F.,2007, Two-dimensional analytical solutions of simply supported composite beams with interlayer slips, International Journal of Solids and Structures 44: 165-175.
16
[17] Wang A.J., Chung K.F., 2008, Advanced ﬁnite element modelling of perforated composite beams with ﬂexible shear connectors, Engineering Structures 30(10): 2724-2738.
17
[18] Zona A., Ranzi G., 2011, Finite element models for non-linear analysis of steel concrete composite beams with partial interaction in combined bending and shear, Finite Element in Analysis and Design 47(2): 98-118.
18
[19] Chakrabarti A., Sheikh A.H., Grifﬁth M., Oehlers D.J., 2012, Analysis of composite beams with partial shear interactions using a higher order beam theory, Engineering Structur 36: 283-291.
19
[20] Lezgy-Nazargah M., 2014, An isogeometric approach for the analysis of composite steel–concrete beams, Thin-Walled Structures 84: 406-415.
20
[21] Lezgy-Nazargah M., Kafi L., 2015, Analysis of composite steel-concrete beams using a refined high-order beam theory, Steel and Composite Structures 18(6): 1353-1368.
21
[22] He G., Yang X., 2015, Dynamic analysis of two-layer composite beams with partial interaction using a higher order beam theory, International Journal of Mechanical Sciences 90: 102-112.
22
[23] Chen S., Limazie T., Tan J., 2015, Flexural behavior of shallow cellular composite ﬂoor beams with innovative shear connections, Journal of Constructional Steel Research 106: 329-346.
23
ORIGINAL_ARTICLE
Design and Analysis of Graded Honeycomb Shock Absorber for Increasing the Safety of Passengers in Armored Vehicles Exposed to Mine Explosion
Protecting armored vehicles from mine explosion can lead to the survival of thousands of people exposed to this risk. Very purpose, shock absorbers such as honeycomb structures can be applied for crashworthiness improvement. In this study, graded honeycomb structure is primarily introduced as a shock absorber, followed by the introduction of its absorbed energy and the force and acceleration applied to the occupant which is numerically simulated and measured in Abaqus software. In order to validate the numerical simulation results, a low-velocity experimental test has been conducted on a prototype, and the obtained results indicate well agreement with empirical results. In the meanwhile of mine explosion under a armored vehicle, it has been considered that the vehicle will be thrown upwards with a velocity of 10 m/s and will hit to the ground thereafter. For this case, a shock absorber has been designed, optimized and analyzed. According to the obtained results, the designed shock absorber meets all of the standard requirements. The applied simulation and design method can be further extended for miscellaneous shock absorbers.
http://jsm.iau-arak.ac.ir/article_531827_136104d4c4ab2879a6f35d218ab8b188.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
370
383
Graded honeycomb structure (GHS)
shock absorber
Armored vehicle
Mine explosion
crashworthiness
S. A
Galehdari
ali.galehdari@gmail.com
true
1
Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
LEAD_AUTHOR
H
Khodarahmi
true
2
Department of Mechanical Engineering, I H University, Tehran, Iran
Department of Mechanical Engineering, I H University, Tehran, Iran
Department of Mechanical Engineering, I H University, Tehran, Iran
AUTHOR
A
Atrian
true
3
Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
AUTHOR
[1] Test Methodology for Protection of Vehicle Occupants against Anti-Vehicular Landmine Effects, Technical Report, NATO, 2007.
1
[2] Final Report of HFM-090 Task Group 25 on Test Methodology for Protection of Vehicle Occupants against Anti-Vehicular Landmine Effects, NATO, 2007.
2
[3] Chen Q., Pugno N.M., 2013, In-plane elastic properties of hierarchical nano-honeycombs: The role of the surface effect, European Journal of Mechanics A/Solids 37: 248-255.
3
[4] Nakamoto H., Adachi T., Araki W., 2009, In-plane impact behavior of honeycomb structures randomly ﬁlled with rigid inclusions, International Journal of Impact Engineering 36: 73-80.
4
[5] Tanaka K., Nishida M., Ueki G., 2009, Shock absorption of aluminum honeycombs for in-plane impacts, 28th International Congress on High-Speed Imaging and Photonics.
5
[6] Atli-Veltin B., 2009, Effect of Geometric Parameters on the In-Plane Crushing Behavior of Honeycombs and Honeycombs with Facesheets, PhD thesis, The Pennsylvania State University.
6
[7] Stromsoe J.D., 2011, Modeling of In-Plane Crushed Honeycomb Cores with Applications to Ramp Down Sandwich Structure Closures, Ms thesis, San Diego State University.
7
[8] Asadi M., Walker B., Shirvani H., 2009, An investigation to compare the application of shell and solid element honeycomb model in ODB, 7th European LS-Dyna Conference.
8
[9] Menna C., Zinno A., Asprone D., Prota A., 2013, Numerical assessment of the impact behavior of honeycomb sandwich structures, Composite Structures 106: 326-339.
9
[10] Radzai Said M., Tan C.F., 2008, Aluminum honeycomb under quasi-static compressive loading: an experimental investigation, Suranaree Journal of Science and Technology 16: 1-8.
10
[11] Chao L.B., Ping Z.G., Jian L.T., 2012, Low strain rate compressive behavior of high porosity closed-cell aluminum foams, Science China Technological Sciences 55: 451-463.
11
[12] Shariyat M., Moradi M., Samaee S., 2012, Nonlinear finite element eccentric low-velocity impact analysis of rectangular laminated composite plates subjected to in-phase/anti-phase biaxial preloads, Journal of Solid Mechanics 4(2): 177-194.
12
[13] Rezaei Pour Almasi A., Fariba F., Rasoli S., 2015, Modifying stress-strain curves using optimization and finite elements simulation methods, Journal of Solid Mechanics 7(1): 71-82.
13
[14] Galehdari S. A., Kadkhodayan M., Hadidi-Moud S., 2015, Analytical, experimental and numerical study of a graded honeycomb structure under in-plane impact load with low velocity, International Journal of Crashworthiness 20(4): 387-400.
14
[15] Muhammad A., 2007, Study of a Compact Energy Absorber, PhD Thesis, Iowa State University.
15
[16] Galehdari S. A., Kadkhodayan M., Hadidi-Moud S., 2015, Analytical numerical and experimental study of energy absorption of graded honeycomb structure under in-plane low velocity impact, Modares Mechanical Engineering 14(15): 261-271.
16
[17] Galehdari S. A., Kadkhodayan M., 2015, Study of graded honeycomb structure under in-plane and out of plane impact loading, 17th International Mechanical Engineering Conference (ISME 2015), Amirkabir University of technology, Tehran, Iran.
17
[18] Galehdari S. A., Kadkhodayan M., Hadidi-Moud S., 2015, Low velocity impact and quasi-static in-plane loading on a graded honeycomb structure; experimental, analytical and numerical study, Aerospace Science and Technology 47: 425-433.
18
[19] Tabiei A., Nilakantan G., 2014, Reduction of acceleration induced injuries from mine blasts under infantry vehicles, 6th European Ls-Dyna Users’ Conference, Gothenburg, Sweden.
19
[20] Sławiński G., Dziewulski P., Niezgoda T., 2015, Investigation of human body exposed to blast wave derived from improvised explosive devices, Journal of Kones Powertrain and Transport 22(4): 287-294.
20
[21] Khodarahmi H., 2014, Investigation, Analysis Tactical Armored Vehicle, Advanced Ground Defense Technology Research Center, Imam Hossein University .
21
[22] Huang H.H., 2009, Controller Design for Stability and Rollover Prevention of Multi-Body Ground Vehicles with Uncertain Dynamics and Faults, PhD Thesis, The Ohio State University.
22
[23] Michelin Cargoxbib and Xp 27, 2014, Technical Documentation, Michelin Manufacturing Company.
23
[24] Wong J.Y., 2001, Theory of Ground Vehicles, John Wiley and Sons.
24
[25] Halderman J.D., 2012, Automotive Technology, Pearson.
25
[26] 49 CFR 571.208 – Standard No. 208, 2012, Occupant Crash Protection, Cornell University Law School.
26
[27] Owen P.L., 2004, Procedures for Using the Amanda Model in Acceleration Response Studies (Tutorial by Example), Army Research Laboratory.
27
[28] Panowicz R., Sybilski K., Koodziejczyk D., 2011, Numerical analysis of effects of IDE side explosion on crew of light armored wheeled vehicle, Journal of Kones Powertrain and Transport 18(4): 331-339.
28
ORIGINAL_ARTICLE
Transient Nonlinear Vibration of Randomly Excited Cylindrical Shallow Panels in Non Aging Viscous Medium
In this paper, the nonlinear transient vibration of a cylindrical shallow panel under lateral white noise excitation is studied. The panel is in contact with a non aging viscoelastic medium. Since the external load is a time varying random wide band process, deterministic and conventional approaches cannot be used. Instead, the evolution of the probability density function of the response is investigated. To compute the density function, the famous Monte Carlo simulation is employed while its correctness for this specific application is validated with another work in literature. The governing equation is rewritten to a non dimensional format; so that the results can be applied to a wide range of panels. Specifically, the transient behavior is investigated with respect to the quasi slenderness ratio and the non dimensional mean value of lateral load. As expected, both the simple damped oscillation and unstable jumping phenomenon are seen relative to the values of prescribed parameters. Finally, the joint probability density function of the response is drawn that give someone an idea about the quality of the response in the phase plane.
http://jsm.iau-arak.ac.ir/article_531828_0647a4c7b6ee5e056f9226f5e7e76fe0.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
384
395
Circular panels
Shallow shells, Monte carlo simulation
Random vibration
Non aging materials
A
Asnafi
asnafi@shirazu.ac.ir
true
1
Hydro-Aeronautical Research Center, Shiraz University, Shiraz, Iran
Hydro-Aeronautical Research Center, Shiraz University, Shiraz, Iran
Hydro-Aeronautical Research Center, Shiraz University, Shiraz, Iran
LEAD_AUTHOR
Amabili M., Paıdoussis P., 2003, Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction, Applied Mechanics Reviews 56(4): 349-381.
1
[2] Paı¨doussis MP., 2003, Fluid-Structure Interactions: Slender Structures and Axial Flow, Elsevier/Academic Press, London, UK.
2
[3] Kubenko V.D., Koval’chuk P.S., 1998, Nonlinear problems of the vibration of thin shells review, International Applied Mechanics 34: 703-728.
3
[4] Mei C., Abdel-Motagaly K., Chen R., 1999, Review of nonlinear panel flutter at supersonic and hypersonic speeds, Applied Mechanics Reviews 52(10): 321-332.
4
[5] Abrate S., 2007, Transient response of beams, plates, and shells to impulsive loads, In ASME 2007 International Mechanical Engineering Congress and Exposition 9: 107-116.
5
[6] Bodaghi M., Shakeri M., 2012, An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads, Composite Structures 94(5): 1721-1735.
6
[7] Şenyer M., Kazanci Z., 2012, Nonlinear dynamic analysis of a laminated hybrid composite plate subjected to time-dependent external pulses, Acta Mechanica Solida Sinica 25(6): 586-597.
7
[8] Lutes L. D., 1997, Stochastic Analysis of Structural and Mechanical Vibrations, Prentice Hall.
8
[9] Mahadevan S., 1997, Monte Carlo simulation, Mechanical Engineering New York and Basel-Marcel Dekker.
9
[10] Risken H., 1984, Fokker-Planck Equation , Springer Berlin Heidelberg.
10
[11] Bolotin V. V. E., 2013, Random Vibrations of Elastic Systems , Springer Science & Business Media.
11
[12] Zhu W.Q., 1996, Recent developments and applications of the stochastic averaging method in random vibration, Applied Mechanics Reviews 49(10S): S72-S80.
12
[13] Roberts J. B., Spanos P. D., 2003, Random Vibration and Statistical Linearization, Courier Corporation.
13
[14] Wang D., 2007, Numerical and Experimental Studies of Self-Centering Post-Tensioned Steel Frames, ProQuest.
14
[15] Ilki A., Fardis M. N., 2013, Seismic Evaluation and Rehabilitation of Structures, Springer.
15
[16] Zhu H. T., Er G. K., Iu V. P., Kou K. P., 2011, Probabilistic solution of nonlinear oscillators excited by combined Gaussian and Poisson white noises, Journal of sound and vibration 330(12): 2900-2909.
16
[17] Asnafi A., 2014, Analytic bifurcation investigation of cylindrical shallow shells under lateral stochastic excitation, Modares Mechanical Engineering 14(5): 77-84.
17
[18] Potapov V. D., 1999, Stability of Stochastic Elastic and Viscoelastic Systems, Wiley.
18
[19] Chen L. Q., Zhang N. H., Zu J. W., 2003, The regular and chaotic vibrations of an axially moving viscoelastic string based on fourth order Galerkin truncation, Journal of Sound and Vibration 261(4): 764-773.
19
[20] Haddad Y. M., 1995, Viscoelasticity of Engineering Materials, Chapman & Hall, 2-6 Boundary Row, London, UK.
20
[21] Drozdov A. D., 1998, Viscoelastic Structures: Mechanics of Growth and Aging, Academic Press.
21
[22] Janno J., 2003, Determination of degenerate relaxation functions in three-dimensional viscoelasticity, Proceedings of the Estonian Academy of Sciences, Physics and Mathematics 52(2): 171-185.
22
[23] Banks H. T., Hu S., Kenz Z. R., 2011, A brief review of elasticity and viscoelasticity for solids, Advances in Applied Mathematics and Mechanics 3(1): 1-51.
23
[24] Eierle B., Schikora K., 1999, Computational viscoelasticity of aging materials, In European Conference on Computational Mechanics (ECCM), München, Germany.
24
[25] Lin Y. K., Cai G. Q., 2004, Probabilistic Structural Dynamics: Advanced Theory and Applications, Mcgraw-Hill Professional Publishing.
25
[26] Papoulis A., Pillai S. U., 2002, Probability, Random Variables, and Stochastic Processes, Tata McGraw-Hill Education.
26
[27] Ahn A., Haugh M., 2014, Linear Programming and the Control of Diffusion Processes , Informs Journal on Computing 27: 646-657.
27
[28] Haugh M., 2004, Generating Random Variables and Stochastic Processes, Lecture Notes, Monte Carlo Simulation, IEOR E4703.
28
ORIGINAL_ARTICLE
Static and Free Vibration Analyses of Orthotropic FGM Plates Resting on Two-Parameter Elastic Foundation by a Mesh-Free Method
In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer function method. The orthotropic FGM plates are made of two orthotropic materials and their volume fractions are varied smoothly along the plate thickness. The convergence of the method is demonstrated and to validate the results, comparisons are made with finite element method (FEM) and the others available solutions for both homogeneous and FGM plates then numerical examples are provided to investigate the effects of material distributions, elastic foundation coefficients, geometrical dimensions, applied force and boundary conditions on the static and vibrational characteristics of the orthotropic FGM plates.
http://jsm.iau-arak.ac.ir/article_531829_eb9114628e2e853c9b9b60ae752c649f.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
396
410
Static
Free vibration
FGM plate
Orthotropic
Mesh-Free
H
Momeni-Khabisi
h.momeni@ujiroft.ac.ir
true
1
Department of Mechanical Engineering, University of Jiroft , Jiroft , Iran
Department of Mechanical Engineering, University of Jiroft , Jiroft , Iran
Department of Mechanical Engineering, University of Jiroft , Jiroft , Iran
LEAD_AUTHOR
[1] Koizumi M., 1997, FGM activities in Japan, Composites Part B 28: 1-4.
1
[2] Thai H.T., Choi D.H., 2011, A refined plate theory for functionally graded plates resting on elastic foundation, Composites Science and Technology 71: 1850-1858.
2
[3] Reddy J.N., 2004, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC.
3
[4] Reissner E., 1945, The effect of transverse shear deformation on the bending of elastic plates, Journal of Applied Mechanics 12: 69-72.
4
[5] Mindlin R.D., 1951, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, Journal of Applied Mechanics 18: 31-38.
5
[6] Thai H.T., Choi D.H., 2012, An efficient and simple refined theory for buckling analysis of functionally graded plates, Applied Mathematical Modelling 36: 1008-1022.
6
[7] Reddy J. N., 1984, A simple higher order theory for laminated composite plates, Journal of Applied Mechanics 51: 745-752.
7
[8] Matsunaga H., 2008, Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory, Composite Structures 82: 499-512.
8
[9] Malekzadeh P., 2009, Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations, Composite Structures 89: 367-373.
9
[10] Yas M.H., Sobhani B., 2010, Free vibration analysis of continuous grading fibre reinforced plates on elastic foundation, International Journal of Engineering Science 48: 1881-1895.
10
[11] Ferreira A.J.M., Castro L.M.S., Bertoluzza S., 2009, A high order collocation method for the static and vibration analysis of composite plates using a first-order theory, Composite Structures 89: 424-432.
11
[12] Ferreira A.J.M., Roque C.M.C., Martins P.A.L.S., 2003, Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method, Composites Part B 34: 627-636.
12
[13] Nie G.J., Batra R.C., 2010, Static deformations of functionally graded polar-orthotropic cylinders with elliptical inner and circular outer surfaces, Composites Science and Technology 70: 450-457.
13
[14] Zhang W., Yang J., Hao Y., 2010, Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation theory, Nonlinear Dynamic 59: 619-660.
14
[15] Farid M., Zahedinejad P., Malekzadeh P., 2010, Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method, Materials and Design 31: 2-13.
15
[16] Zhu P., Lei Z.X., Liew K.M., 2012, Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory, Composite Structures 94: 1450-1460.
16
[17] Jam J.E., Kamarian S., Pourasghar A., Seidi J., 2012, Free vibrations of three-parameter functionally graded plates resting on pasternak foundations, Journal of Solid Mechanics 4: 59-74.
17
[18] Alibeigloo A., Liew K.M., 2013, Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity, Composite Structures 106: 873-881.
18
[19] Asemi K., Shariyat M., 2013, Highly accurate nonlinear three-dimensional finite element elasticity approach for biaxial buckling of rectangular anisotropic FGM plates with general orthotropy directions, Composite Structures 106: 235-249.
19
[20] Mansouri M.H., Shariyat M., 2014, Thermal buckling predictions of three types of high-order theories for the heterogeneous orthotropic plates, using the new version of DQM, Composite Structures 113: 40-55.
20
[21] Mansouri M.H., Shariyat M., 2015, Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations, Composites Part B 83: 88-104.
21
[22] Shariyat M., Asemi K., 2014, Three-dimensional non-linear elasticity-based 3D cubic B-spline finite element shear buckling analysis of rectangular orthotropic FGM plates surrounded by elastic foundations, Composites Part B 56: 934-947.
22
[23] Sofiyev A.H., Huseynov S.E., Ozyigit P., Isayev F.G., 2015, The effect of mixed boundary conditions on the stability behavior of heterogeneous orthotropic truncated conical shells, Meccanica 50: 2153-2166.
23
[24] Moradi-Dastjerdi R., Payganeh Gh., Malek-Mohammadi H., 2015, Free vibration analyses of functionally graded CNT reinforced nanocomposite sandwich plates resting on elastic foundation, Journal of Solid Mechanic 7: 158-172.
24
[25] Foroutan M., Moradi-Dastjerdi R., Sotoodeh-Bahreini R., 2012, Static analysis of FGM cylinders by a mesh-free method, Steel and Composite Structures 12: 1-11.
25
[26] Mollarazi H.R., Foroutan M., Moradi-Dastjerdi R., 2012, Analysis of free vibration of functionally graded material (FGM) cylinders by a meshless method, Journal of Composite Materials 46: 507-515.
26
[27] Foroutan M., Moradi-Dastjerdi R., 2011, Dynamic analysis of functionally graded material cylinders under an impact load by a mesh-free method, Acta Mechanica 219: 281-290.
27
[28] Moradi-Dastjerdi R., Foroutan M., 2014, Free Vibration Analysis of Orthotropic FGM Cylinders by a Mesh-Free Method, Journal of Solid Mechanics 6: 70-81.
28
[29] Dinis L.M.J.S., Natal Jorge R.M., Belinha J., 2010, A 3D shell-like approach using a natural neighbour meshless method: Isotropic and orthotropic thin structures, Composite Structures 92:1132-1142.
29
[30] Rezaei Mojdehi A., Darvizeh A., Basti A., Rajabi H., 2011, Three dimensional static and dynamic analysis of thick functionally graded plates by the meshless local Petrov–Galerkin (MLPG) method, Engineering Analysis with Boundary Elements 35: 1168-1180.
30
[31] Lei Z.X., Liew K.M., Yu J.L., 2013, Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method, Composite Structures 98:160-168.
31
[32] Lei Z.X., Liew K.M., Yu J.L., 2013, Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment, Composite Structures 106:128-138.
32
[33] Yaghoubshahi M., Alinia M.M., 2015, Developing an element free method for higher order shear deformation analysis of plates, Thin-Walled Structures 94: 225-233.
33
[34] Zhang L.W., Lei Z.X., Liew K.M., 2015, An element-free IMLS-Ritz framework for buckling analysis of FG–CNT reinforced composite thick plates resting on Winkler foundations, Engineering Analysis with Boundary Elements 58: 7-17.
34
[35] Zhang L.W., Song Z.G., Liew K.M., 2015, Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method, Composite Structures 128: 165-175.
35
[36] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, Journal of Sound and Vibration 299: 720-738.
36
[37] Lancaster P., Salkauskas K., 1981, Surface generated by moving least squares methods, Mathematics of Computation 37: 141-158.
37
[38] Hyer M.W., 1998, Mechanics of Composite Materials, McGraw-Hill.
38
[39] Akhras G., Cheung M.S., Li W., 1994, Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory, Composite Structures 52: 471-477.
39
[40] Reddy J.N., 1993, Introduction to the Finite Element Method, New York, McGraw-Hill.
40
[41] Baferani A.H., Saidi A.R., Ehteshami H.,2011, Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation, Composite Structures 93: 1842-1853.
41
ORIGINAL_ARTICLE
Reflection of Plane Wave at Traction-Free Surface of a Pre-Stressed Functionally Graded Piezoelectric Material (FGPM) Half-Space
This paper is devoted to study a problem of plane waves reflection at a traction-free surface of a pre-stressed functionally graded piezoelectric material (FGPM). The effects of initial stress and material gradient on the reflection of plane waves are studied in this paper. Secular equation has been derived analytically for the pre-stressed FGPM half-space and used to show the existence of two coupled waves namely and Continuity condition of stress, electrical potential and electrical displacement at traction free surface is used to obtain the reflection coefficient of and waves. Results of the problem are shown graphically and effects of initial stress and material gradient are discussed for a particular case of Lithium niobate material.
http://jsm.iau-arak.ac.ir/article_531830_6454ea2284da610fed383a953c28ef91.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
411
422
Piezoelectricity
Reflection
Traction-free surface
Reflection coefficient
P.K
Saroj
pksaroj.ism@gmail.com
true
1
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004,India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004,India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004,India
LEAD_AUTHOR
S.A
Sahu
true
2
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004,India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004,India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004,India
AUTHOR
[1] Shana Z., Josse F., 1992, Reflection of bulk wave at a piezoelectric crystal-viscous conductive liquid interface, Journal of the Acoustical Society of America 91: 854-860.
1
[2] Noorbehesht B., Wade G., 1980, Reflection and transmission of plane elastic-wave at the boundary between piezoelectric materials and water, Journal of the Acoustical Society of America 67: 1947-1953.
2
[3] Chattopadhyay A., Saha S., 1996, Reflection and refraction of P wave at the interface of two monoclinic media, International Journal of Engineering Science 34 (11): 1271-1284.
3
[4] Kaur J., Tomar S. K., 2004, Reflection and refraction of SH-wave at a corrugated interface between two monoclinic elastic half-spaces, International Journal for Numerical and Analytical Methods in Geomechanics 28(15): 1543-1575.
4
[5] Kyame J.J., 1949, Wave propagation in piezoelectric crystals, Journal of the Acoustical Society of America 21: 159-167.
5
[6] Yang J.S., 2006, A review of a few topics in piezoelectricity, Applied Mechanics Reviews 59: 335-345.
6
[7] Fang H., Yang J., Jiang Q., 2001, Surface acoustic wave propagating over a rotating piezoelectric half-space, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 48: 998-1004.
7
[8] Wang Q., 2002, Wave propagation in a piezoelectric coupled solid medium, Journal of Applied Mechanics 69: 819-824.
8
[9] Yang J.S., Zhou H.G., 2005, An interface wave in piezoelectromagnetic materials, International Journal of Applied Electromagnetics and Mechanics 21: 63-68.
9
[10] Pang Y., Yue-Sheng W., 2008, Reflection and refraction of plane wave at the interface between piezoelectric and piezomagnetic media, International Journal of Engineering Science 46: 1098-1110.
10
[11] Sharma J.N., Walia V., Gupta S.K., 2008, Reflection of piezothermoelastic wave from the charge and stress free boundary of a transversely isotropic half space, International Journal of Engineering Science 46: 131-146.
11
[12] Chattopadhyay A., Saha S., Chakraborty M., 1997, Reflection and transmission of shear wave in monoclinic media, International Journal for Numerical and Analytical Methods in Geomechanics 21(7): 495-504.
12
[13] Sharma J.N., Walia V., 2007, Further investigations on rayleigh wave in piezothermoelastic materials, Journal of Sound and Vibration 301: 189-206.
13
[14] Abd-alla A.N., Alsheikh F.A., 2009, Reflection and refraction of plane quasilongitudinal wave at an interface of two piezoelectric media under initial stresses, Archive of Applied Mechanics 79: 843-857.
14
[15] Singh B., 2010, Wave propagation in a pre-stressed piezoelectric half-space, Acta Mechanica 211: 337-344.
15
[16] Guo X., Wei P., 2014, Effect of initial stress on the reflection and transmission wave at the interface between two piezoelectric half-spaces, International Journal of Solids and Structures 51: 3735-3751.
16
[17] Wang Z. K., Shang, F. L., 1997, Cylindrical buckling of piezoelectric laminated plates, Acta Mechanica Solida Sinica 18: 101-108.
17
[18] Weis R.S., Gaylord, T.K., 1985, Lithium niobate: summary of physical properties and crystal structure, Applied Physics A 37: 191-203.
18
ORIGINAL_ARTICLE
Variational Principle and Plane Wave Propagation in Thermoelastic Medium with Double Porosity Under Lord-Shulman Theory
The present study is concerned with the variational principle and plane wave propagation in double porous thermoelastic infinite medium. Lord-Shulman theory [2] of thermoelasticity with one relaxation time has been used to investigate the problem. It is found that for two dimensional model, there exists four coupled longitudinal waves namely longitudinal wave (P), longitudinal thermal wave (T), longitudinal volume fractional wave corresponding to pores (PV1), and longitudinal volume fractional wave corresponding to fissures (PV2), in addition to, a transverse wave (S) which is not affected by the volume fraction fields and thermal properties. The different characteristics of the wave such as phase velocity and attenuation quality factor are computed numerically and depicted graphically. Some special cases are also deduced from the present investigation.
http://jsm.iau-arak.ac.ir/article_531831_4204e81a530f1f107875455364b773ae.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
423
433
Double porosity
Lord-shulman theory
Variational principle
Plane waves
Phase velocity
Attenuation quality factor
R
Kumar
rajneesh_kuk@rediffmail.com
true
1
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
AUTHOR
R
Vohra
richavhr88@gmail.com
true
2
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
LEAD_AUTHOR
M.G
Gorla
true
3
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
AUTHOR
[1] Biot M. A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics 27: 240-253.
1
[2] Lord H., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics of Physics of Solids 15: 299-309.
2
[3] Hetnarski R. B., Ignaczak J., 1999, Generalized thermoelasticity, Journal of Thermal Stresses 22: 451-476.
3
[4] Biot M. A., 1941, General theory of three-dimensional consolidation, Journal of Applied Physics 12: 155-164.
4
[5] Bowen R.M.,1980, Incompressible porous media models by use of the theory of mixtures, International Journal of Engineering Science 18: 1129-1148.
5
[6] De Boer R., Ehlers W., 1990, Uplift, friction and capillarity-Three fundamental effects for liquid saturated porous solids, International Journal of Solids and Structures 26: 43-57.
6
[7] Barenblatt G.I., Zheltov I.P., Kochina I.N., 1960, Basic concept in the theory of seepage of homogeneous liquids in fissured rocks (strata), Journal of Applied Mathematics and Mechanics 24: 1286-1303.
7
[8] Wilson R. K., Aifantis E. C.,1982, On the theory of consolidation with double porosity, International Journal of Engineering Science 20(9): 1009-1035.
8
[9] Khaled M.Y., Beskos D. E., Aifantis E. C.,1984, On the theory of consolidation with double porosity-III, International Journal for Numerical and Analytical Methods in Geomechanics 8: 101-123.
9
[10] Wilson R. K., Aifantis E. C., 1984, A double porosity model for acoustic wave propagation in fractured porous rock, International Journal of Engineering Science 22(8-10): 1209-1227.
10
[11] Beskos D. E., Aifantis E. C.,1986., On the theory of consolidation with double porosity-II, International Journal of Engineering Science 24(111): 1697-1716.
11
[12] Khalili N., Valliappan S., 1996, Unified theory of flow and deformation in double porous media, European Journal of Mechanics - A/Solids 15: 321-336.
12
[13] Aifantis E. C., 1977, Introducing a multi –porous medium, Developments in Mechanics 8: 209-211.
13
[14] Aifantis E. C.,1979, On the response of fissured rocks, Developments in Mechanics 10: 249-253.
14
[15] Aifantis E.C., 1980, On the problem of diffusion in solids, Acta Mechanica 37: 265-296.
15
[16] Aifantis E.C., 1980, The Mechanics of Diffusion in Solids, T.A.M. Report No. 440, Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Illinois.
16
[17] Moutsopoulos K. N., Eleftheriadis I. E., Aifantis E. C.,1996, Numerical simulation of transport phenomena by using the double porosity/ diffusivity continuum model, Mechanics Research Communications 23(6): 577-582.
17
[18] Khalili N., SelvaduraiA. P. S.,2003, A fully coupled constitutive model for thermo-hydro -mechanical analysis in elastic media with double porosity, Geophysical Research Letters 30: 2268-2271.
18
[19] Pride S. R., Berryman J. G., 2003, Linear dynamics of double–porosity dual-permeability materials-I, Physical Review E 68: 036603.
19
[20] Straughan B., 2013, Stability and uniqueness in double porosity elasticity, International Journal of Engineering Science 65:1-8.
20
[21] Svanadze M., 2005, Fundamental solution in the theory of consolidation with double porosity, Journal of the Mechanical Behavior of Biomedical Materials 16: 123-130.
21
[22] Svanadze M., 2010, Dynamical problems on the theory of elasticity for solids with double porosity, Proceedings in Applied Mathematics and Mechanics 10: 209-310.
22
[23] Svanadze M., 2012, Plane waves and boundary value problems in the theory of elasticity for solids with double porosity, Acta Applicandae Mathematicae 122: 461-470.
23
[24] Svanadze M., 2014, On the theory of viscoelasticity for materials with double porosity, Discrete and Continuous Dynamical Systems - Series B 19(7): 2335-2352.
24
[25] Svanadze M., 2014, Uniqueness theorems in the theory of thermoelasticity for solids with double porosity, Meccanica 49: 2099-2108.
25
[26] Scarpetta E., Svanadze M., Zampoli V., 2014, Fundamental solutions in the theory of thermoelasticity for solids with double porosity, Journal of Thermal Stresses 37(6): 727-748.
26
[27] Scarpetta E., Svanadze M., 2015 ,Uniqueness theorems in the quasi-static theory of thermo elasticity for solids with double porosity, Journal of Elasticity 120: 67-86.
27
[28] Kumar R., Kansal T., 2014, Propagation of plane waves and fundamental solution in the theories of thermoelastic diffusive materials with voids, International Journal of Applied Mathematics and Mechanics 8(13): 84-103.
28
[29] Kumar R., Singh M., 2007, Propagation of plane waves in thermoelastic cubic crystal material with two relaxation times, Applied Mathematics and Mechanics 28(5): 627-641.
29
[30] Kumar R., Kumar R., 2010, Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space, Applied Mathematics and Mechanics 31(9): 1153-1172.
30
[31] Kumar R., Kaur M., Rajvanshi S.C., 2014, Plane wave propagation in microstretch thermoelastic medium with microtemperatures, Journal of Vibration and Control 21: 2678.
31
[32] Iesan D., Quintanilla R, 2014, On a theory of thermoelastic materials with a double porosity structure, Journal of Thermal Stresses 37: 1017-1036.
32
[33] Sherief H., Saleh H., 2005, A half space problem in the theory of generalized thermoelastic diffusion, International Journal of Solids and Structures 42: 4484-4493.
33
[34] Khalili N., 2003, Coupling effects in double porosity media with deformable matrix, Geophysical Research Letters 30(22): 2153.
34
ORIGINAL_ARTICLE
Theoretical, Numerical and Experimental Investigation on Formability of Al3105-St14 Two-Layer Sheet
Two-layer metallic sheets have wide applications in various industries due to their superlative characteristics. This paper presents analytical model to investigate the formability of two-layer sheets based on Marciniak and Kuckzinsky (M-K) method using Barlat and Lian non-quadratic yield criterion. FEM simulation is also performed to calculate the forming limits based on bifurcation theory. Forming limit diagrams (FLDs) and forming limit stress diagrams (FLSDs) determined by analytical and numerical approaches are compared with experimental results of Al3105-St14 two-layer sheet to verify the validity of theoretical models. The formability of two-layer sheet is also compared with the formability of its components. The results show that the forming limit diagram of two-layer sheet is located between the FLDs of separate layers. The effects of the anisotropy and the orientation of layers on formability of two-layer sheet are studied. The higher formability will be achieved in the case of coincidence of rolling directions of layers.
http://jsm.iau-arak.ac.ir/article_531832_3b6b90d87e73b0c83dd4b5a143229a3e.pdf
2017-06-30T11:23:20
2020-05-31T11:23:20
434
444
Two-layer metallic sheet
Forming limit diagram (FLD)
Forming limit stress diagram (FLSD)
M-K theory
Bifurcation theory
H
Deilami Azodi
hdazodi@arakut.ac.ir
true
1
Department of Mechanical Engineering, Arak University of Technology, P.O.Box 38135-1177, Arak, Iran
Department of Mechanical Engineering, Arak University of Technology, P.O.Box 38135-1177, Arak, Iran
Department of Mechanical Engineering, Arak University of Technology, P.O.Box 38135-1177, Arak, Iran
LEAD_AUTHOR
R
Darabi
true
2
Department of Mechanical Engineering, Arak University of Technology, P.O.Box 38135-1177, Arak, Iran
Department of Mechanical Engineering, Arak University of Technology, P.O.Box 38135-1177, Arak, Iran
Department of Mechanical Engineering, Arak University of Technology, P.O.Box 38135-1177, Arak, Iran
AUTHOR
Keeler S. P., 1968, Circular grid system - a valuable aid for evaluating sheet metal formability, SAE International 77: 371-379.
1
[2] Goodwin G. M. , 1968, Application of strain analysis to sheet metal forming problems in press shop, SAE International 77 : 380-387.
2
[3] Semiatin S. L., Piehler H. R., 1979, Deformation of sandwich sheet materials in uniaxial tension, Metallurgical Transactions A 10: 85-96.
3
[4] Semiatin S. L., Piehler H. R., 1979, Formability of sandwich sheet materials in plane strain compression and rolling, Metallurgical Transactions A 10: 97-107.
4
[5] Mori T., Kurimoto S., 1996, Press-formability of stainless steel and aluminum clad sheet, Journal of Materials Processing Technology 56: 242-253.
5
[6] Yoshida F., Hino R.,1997, Forming limit of stainless steel- clad aluminum sheets under plane stress condition, Journal of Materials Processing Technology 63: 66-71.
6
[7] Kim K. J., Kim D., Choi S. H., Chung K., Shin K. S., Barlat F., Oh K. H., Youn J. R., 2003, Formability of AA5182/polypropylen/AA5182 sandwich sheets, Journal of Materials Processing Technology 139 : 1-7.
7
[8] Lang L., Danckert J., Nielsen K. B., 2005, Multi-layer sheet hydroforming: experimental and numerical investigation into the very thin layer in the middle, Journal of Materials Processing Technology 170: 524-535.
8
[9] Jalali Aghchai A., Shakeri M., Mollaei Dariani B., 2008, Theoretical and experimental formability study of two-layer metallic sheet Al1100/St12, Proceedings of the Institution of Mechanical Engineers Part B , Journal of Engineering Manufacture 222 (9) : 1131-1138.
9
[10] Jalali Aghchai A., Shakeri M., Mollaei Dariani B., 2012, Influences of material properties of components on formability of two-layer metallic sheets, International Journal of Advanced Manufacturing Technology 66: 809-823.
10
[11] Liu J., Liu W., Xue W., 2013, Forming limit diagram prediction of AA5052 /polyethylene /AA5052 sandwich sheets, Materials & Design 46: 112-120.
11
[12] Parsa M. H., Ettehad M., Matin P. H., 2013, Forming limit diagram determination of Al 3105 sheets and Al 3105/polypropylene/Al 3105 sandwich sheets using numerical calculations and experimental investigation, Journal of Engineering Materials and Technology 135: 031003.
12
[13] Barlat F., Lian K., 1989, Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions, International Journal of Plasticity 5: 51-66.
13
[14] Marciniak Z., Kuczynski K., 1967, Limit strains in the processes of stretch-forming sheet metal, International Journal of Mechanical Sciences 9: 609-620.
14
[15] Gronstajski J. Z., Zimniak Z., 1992, The effect of changing of heterogeneity with strain on the forming limit diagram, Journal of Materials Processing Technology 34: 457-464.
15
[16] Dariani B. M., Azodi H. D., 2003, Finding the optimum Hill index in the determination of the forming limit diagram, Proceedings of the Institution of Mechanical Engineers Part B , Journal of Engineering Manufacture 217 (12): 1677-1683.
16