ORIGINAL_ARTICLE
Torsion of Poroelastic Shaft with Hollow Elliptical Section
In this paper torsion of hollow Poroelastic shaft with Elliptical section is developed. Using the boundary equation scheme. It looks for a stress function where satisfied Poisson equation and vanishes on boundary. It also analyzed stress function and warping displacement for the hollow elliptical section in Poroelastic shaft. At the end, the result of elastic and poroelastic shaft in warping displacement and stress function is compared.
http://jsm.iau-arak.ac.ir/article_520686_943874108dbda5d45f258afe678dddf6.pdf
2016-03-30
1
11
Torsion
Stress function
Warping
Poroelastic
Inhomogeneous
M
Jabbari
mohsen.jabbari@gmail.com
1
Department of Mechanical Engineering, Islamic Azad University, South Tehran Branch, Iran
LEAD_AUTHOR
M.F
Khansanami
2
Department of Mechanical Engineering, Islamic Azad University, South Tehran Branch, Iran
AUTHOR
[1] Timoshenko S.P., Goodier J.N., 1970, Theory of Elasticity, New York:, McGraw-Hill.
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[14] Kuo Y.M., Conway H.D., 1973 ,The torsion of composite tubes and cylinders, International Journal of Solids and Structures 9(12):1553-1565.
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[15] Kuo Y.M., Conway H..D., 1974, Torsion of cylinders with multiple reinforcement, Journal of the Engineering Mechanics Division ASCE 100:221-234.
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[16] Kuo Y.M., Conway H.D., 1974, Torsion of composite rhombus cylinder, Journal of Applied Mechanics 41(1):302-303.
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[18] Packham B.A., Shail R.., 1978 , St. venant torsion of composite cylinders, Journal of Elasticity 8(4):393-407.
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[25] Sapountzakis E.J., 2000 , Solution of non-uniform torsion of bars by an integral equation method, Computer and Structures 77(6):659-667.
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[26] Sapountzakis E.J., 2001 , Nonuniform torsion of multi-material composite bars by the boundary element method, Computer and Structures 79(32):2805-2816.
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[29] Rooney F.J., Ferrari M., 1995, Torsion and flexure of inhomogeneous elements, Engineering of Composite 5(7):901-911.
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[31] Horgan C.O., Chan A..M., 1999, Torsion of functionally graded isotropic linearly elastic bars, Journal of Elasticity 52(2):181-199.
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[32] Tarn J.G., 2008, Chang HH. Torsion of cylindrically orthotropic elastic circular bars with radial inhomogeneity: some exact solutions and end effects, International Journal of Solids and Structures 45(1):303-319.
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[33] Rooney F.J ., Ferrari M.,1995,Torsion and flexure of inhomogeneous elements, Composites Engineering 5: 901-911.
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[36] Biot M..A., 1982, Generalized Lagrangian equations of non-linear reaction- diffusion, Chemical Physics 66:11-26.
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[37] Arghavan S., Hematiyan, M..R., 2009, Torsion of functionally graded hollow tubes, European Journal Mechanics A/Solids 28(3): 551-559.
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[38] Batra R..C, 2006, Torsion of a functionally graded cylinder, The American Institute of Aeronautics and Astronautics 44 (6):1363-1365.
38
[39] Horgan C.O, 2007, On the torsion of functionally graded anisotropic linearly elastic bars, Journal of Applied Mathematics 72 (5): 556-562.
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[40] Rooney F.J, Ferrari M., 1995, Torsion and flexure of inhomogeneous elements, Composites Engineering 5 (7):901-911.
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[41] Udea M., Nishimura T., Sakate T, 2002, Torsional analysis of functionally graded materials., Advances in Mechanics of Structures and Materials, Proceedings of 17th Australian Conference (ACMS17), Tayor and Francis, Queensland, Australia.
41
[42] Yaususi T., Shigeyasu A., 2000, Torsional characteristics of hemp palm branch with triangular cross-section (2-composite bar), The Japan Society of Mechanical Engineers 66 (649): 1806-1811.
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[43] Sofiyev A..H, 2005, The torsional buckling analysis of cylindrical shells with material non-homogeneity in thickness direction under impulsive loading, Structural Engineering and Mechanics an International Journal 19(2):231-236.
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[44] Sofiyev A.H., 2003, Torsional buckling of cross-ply laminated orthotropic composite cylindrical shells subject to dynamic loading, European Journal of Mechanics A/Solids 22:943-951.
44
[45] Sadd M. H.,. 2009, Elasticity Theory, Application, and Numerics, Department of Mechanical Engineering and Applied Mechanics University of Rhode Island.
45
ORIGINAL_ARTICLE
Free Vibration of Sandwich Panels with Smart Magneto-Rheological Layers and Flexible Cores
This is the first study on the free vibrational behavior of sandwich panels with flexible core in the presence of smart sheets of oil which is capable of the excitation of magnetic field. In order to model the core, the improved high order theory of sandwich sheets was used by a polynomial with unknown coefficients first degree shear theory was used for the sheets. The derived equations based on Hamilton principle with simple support boundary condition for upper and lower sheets were solved using Navier technique. Accuracy and precision of the theory were investigated by comparing the results of this study with those of analytical and numerical works. In the conclusion section, effect of the intensity of magnetic field and other physical parameters including ratio of sheet's length to width, ratio of sheet's length to thickness, ratio of core thickness to sheet's overall thickness, and ratio of oil layer thickness to sheet's overall thickness on natural frequency was investigated.
http://jsm.iau-arak.ac.ir/article_520687_8c297754ec33c2a5335e94c67e838184.pdf
2016-03-30
12
30
Sandwich plates
Flexible cores
Free vibration
Improved high order theory
G
Payganeh
g.payganeh@srttu.edu
1
School of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran
LEAD_AUTHOR
K
Malekzadeh
2
Structural Analysis and Simulation Department,Space Research Institute, Malek Ashtar University of Technology
AUTHOR
H
Malek-Mohammadi
3
School of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran
AUTHOR
[1] Rabinow J., 1948, The magnetic fluid clutch, American Institute of Electrical Engineers, Transactions 67: 1308-1315.
1
[2] Carlson J.D., Jolly M.R., 2000, MR fluid, foam and elastomer devices, Mechatronics 10: 555-569.
2
[3] Yao G.Z., Yap F.F., Chen G., Li W.H., Yeo S.H., 2002, MR damper and its application for semi-active control of vehicle suspension system, Mechatronics 12(7): 963-973.
3
[4] Oh H.U., Onoda J., 2002, An experimental study of a semi-active magneto-rheological fluid variable damper for vibration suppression of truss structures, Smart Materials and Structures 11(1): 156-162.
4
[5] Sun Q., Zhou J.X., Zhang L., 2003, An adaptive beam model and dynamic characteristics of magnetorheological materials, Journal of Sound and Vibration 261(3): 465-481.
5
[6] Yalcintas M ., Dai H., 2004, Vibration suppression capabilities of magneto-rheological materials based adaptive structures, Smart Materials and Structures 13(1): 1-11.
6
[7] Rajamohan V., Sedaghati R., Rakheja S., 2010, Vibration analysis of a multi-layer beam containing magnetorheological fluid, Smart Materials and Structures 19(1): 015013.
7
[8] Choi Y., Sprecher A.F., Conrad H., 1990, Vibration characteristics of a composite beam containing an electrorheological fluid, Journal of Intelligent Material Systems 1(1): 91-104.
8
[9] Nayak B., Dwivedy K.S., Murthy R.K., 2011, Dynamic analysis of magnetorheological elastomer-based sandwich beam with conductive skins under various boundary conditions, Journal of Sound and Vibration 330(9): 1837-1859.
9
[10] Yeh J.Y, 2013, Vibration analysis of sandwich rectangular plates with magnetorheological elastomer damping treatment, Smart Materials and Structures 22(3): 035010.
10
[11] Manoharan R., Vasudevan R., Jeevanantham A.K., 2014, Dynamic characterization of a laminated composite magnetorheological fluid sandwich plate, Smart Materials and Structures 23(2): 025022.
11
[12] Kameswara Rao M., Desai,Y.M., ChitnisM.R., 2001, Free vibrations of laminated beams using mixed theory, Composite Structures 52(2): 149-160.
12
[13] Kant T., Swaminathan K., 2001, Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory, Composite Structures 53(1): 73-85.
13
[14] Meunier M., Shenoi R.A., 2001, Dynamic analysis of composite sandwich plates with damping modelled using high-order shear deformation theory, Composite Structures 54(2-3): 243-254.
14
[15] Nayak A.K., Moy S.S.J., Shenoi R.A., 2002, Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory, Composites Part B: Engineering 33(7):505-519.
15
[16] Frostig Y., Thomsen O.H., 2004, High-order free vibration of sandwich panels with a flexible core, International Journal of Solids and Structures 41(5-6): 1697-1724.
16
[17] Malekzadeh K., Khalili M.R., Mittal R.K., 2005, Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved high-order approach, Journal of Sandwich Structures and Materials 7(5): 431-456.
17
[18] Ćetković M., Vuksanović D.J., 2009, Bending, free vibrations and buckling of laminated composite and sandwich plates using a layer wise displacement model, Composite Structures 88(2): 219-227.
18
[19] Yao Kuo Sh., Le-Chung Sh., 2009, Buckling and vibration of composite laminated plates with variable fiber spacing, Composite Structures 90(2): 196-200.
19
[20] Vasudevan R., Sedaghati R., Rakheja S., 2010, Vibration analysis of a multi-layer beam containing magnetorheological fluid, Smart Materials and Structures 19(1): 015013.
20
[21] Rahmani O., Khalili M.R ., Malekzadeh K., 2010, Free vibration response of composite sandwich cylindrical shell with flexible core, Composite Structures 92(5): 1269-1281.
21
[22] Meunier M., Shenoi R.A., 1999, Free vibration analysis of composite sandwich plates, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213(7): 715-727.
22
ORIGINAL_ARTICLE
Closed Form Solution for Electro-Magneto-Thermo-Elastic Behaviour of Double-Layered Composite Cylinder
Electro-magneto-thermo-elastic response of a thick double-layered cylinder made from a homogeneous interlayer and a functionally graded piezoelectric material (FGPM) outer layer is investigated. Material properties of the FGPM layer vary along radius based on the power law distribution. The vessel is subjected to an internal pressure, an induced electric potential, a uniform magnetic field and a temperature gradient. Stresses and radial displacement are studied for different material in-homogeneity parameters in the FGPM layer. It has been shown that the material in-homogeneity parameters significantly affect the stress distribution in both layers. Therefore by selecting a suitable material parameter one can control stress distribution in both homogeneous and FGPM layers. It has been found that under electro-magneto-thermo-mechanical loading minimum effective stress can be achieved by selecting in the FGPM layer.
http://jsm.iau-arak.ac.ir/article_520688_bf9c70220e1756cbd8e91a3ab6fd11ad.pdf
2016-03-30
31
44
Closed form solution
Electromagnetothermoelastic
Double-walled cylinder
Homogeneous interlayer
FGPM outer layer
A
Loghman
aloghman@kashanu.ac.ir
1
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Islamic Republic of Iran
LEAD_AUTHOR
H
Parsa
2
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Islamic Republic of Iran
AUTHOR
[1] Nie G.J., Batra R.C., 2010, Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders, Composite Structures 92: 265-274.
1
[2] Babaei M.H., Chen Z.T., 2008, Analytical solution for the electromechanical behaviour of a rotating functionally graded piezoelectric hollow cylinder, Archive of Applied Mechanics 78: 489-500.
2
[3] Saadatfar M., Razavi A.S., 2009, Piezoelectric hollow cylinder with thermal gradient, Journal of Mechanical Science and Technology 23: 45-53.
3
[4] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2010, Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft, Applied Mathematical Modelling 36: 2771-2789.
4
[5] Ghorbanpour Arani A., Loghman A., Abdollahitaheri A., Atabakhshian V., 2010, Electrothermomechanical behavior of a radially polarized rotating functionally graded piezoelectric cylinder, Journal of Mechanics of Materials and Structures 6(6): 869-884.
5
[6] Haghpanah Jahromi B., Ajdari A., Nayeb-Hashemi H., Vaziri A., 2010, Autofrettage of layered and functionally graded metal–ceramic composite vessels, Composite Structures 92( 8): 1813-1822.
6
[7] Mithchell J.A., Reddy J.N., 1995, A study of embedded piezoelectric layers in composite cylinders, Journal of Applied Mechanics 62:166-173.
7
[8] Wang H.M., Ding H.J., Chen Y.M., 2005, Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems, International Journal of Solids and Structures 42:85-102.
8
[9] Yin X.C., Yue Z.Q., 2002, Transient plane-strain response of multilayered elastic cylinders to axisymmetric impulse, Journal of Applied Mechanics 69: 825-835.
9
[10] Dai H.L., Fu Y.M., 2007, Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessels and Piping 84(3): 132-138.
10
[11] Dai H.L., Rao Y.N., 2013, Dynamic thermoelastic behavior of a double-layered hollow cylinder with an FGM layer, Journal of Thermal Stresses 36( 9): 962-984.
11
[12] Loghman A., Parsa H., 2014, Exact solution for magneto-thermo-elastic behaviour of double-walled cylinder made of an inner FGM and an outer homogeneous layer, International Journal of Mechanical Sciences 88: 93-99.
12
[13] Hosseini S.M., Akhlaghi M., Shakeri M., 2007, Transient heat conduction in functionally graded thick hollow cylinders by analytical method, International Journal of Heat and Mass Transfer 43: 669-675.
13
[14] Loghman A., Ghorbanpour Arani A., Amir S., Vajedi S., 2010, Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal of Pressure Vessel and Piping 87: 389-395.
14
[15] Dai H.L., Hong L., Fu Y.M., Xiao X., 2010, Analytical solution for electromagnetothermoelastic behaviors of a functionally graded piezoelectric hollow cylinder, Applied Mathematical Modelling 34(2): 343-357.
15
ORIGINAL_ARTICLE
Dynamic Stability of Laminated Composite Plates with an External Smart Damper
The dynamic stability of a composite plate with external electrorheological (ER) damper subjected to an axial periodic load is investigated. Electrorheological fluids are a class of smart materials, which exhibit reversible changes in mechanical properties when subjected to an electric field. As a result, the dynamic behavior of the structure is changed. The ER damper is used for suppressing the vibrations and improving the stability of the system. The Bingham plastic model is employed to express the behavior of the ER fluid. The finite element model of the structure is developed and constant acceleration average method is used to obtain the response of the system. Effect of different parameters such as the electric field, the orientation of the ER damper, the initial gap between the two electrodes of the ER damper and the stacking sequences of the plate on the first instability boundaries of the composite plate are investigated.
http://jsm.iau-arak.ac.ir/article_520689_a47e9dd1896a9a4d7289a46ea7dcdf49.pdf
2016-03-30
45
57
Laminated composite
Dynamic buckling
FEA
Smart structures
M
Hoseinzadeh
1
Department of Mechanical Engineering , Ferdowsi University of Mashhad , Mashhad, Iran
AUTHOR
J
Rezaeepazhand
jrezaeep@um.ac.ir
2
Department of Mechanical Engineering , Ferdowsi University of Mashhad , Mashhad, Iran
LEAD_AUTHOR
[1] Simitses G.J., 1987, Stability of dynamically loaded structures, Applied Mechanics Reviews 40(10): 1403-1408.
1
[2] Moorthy J., Reddy J.N., 1990, Parametric instability of laminated composite plates with transverse shear deformation, International Journal of Solids Structures 26(7): 801-811.
2
[3] Shivamoggi B. K., 1977, Dynamic buckling of thin elastic plate: nonlinear theory, Journal of Sound and Vibration 54 (l) : 75-82.
3
[4] Chen L.W., Yang J.Y., 1990, Dynamic stability of laminated composite plates by the finite element method, Computers and Structures 36(5): 845-851.
4
[5] Kwon Y.W., 1991, Finite element analysis of dynamic instability of layered composite plates using a high-order bending theory, Computers and Structures 38(1): 57-62.
5
[6] Sahu S.K., Datta P.K., 2000, Dynamic instability of laminated composite rectangular plates subjected to non-uniform harmonic in-plane edge loading, in: Proceedings of the IMECH E Part G, Journal of Aerospace Engineering 214(5): 295-312.
6
[7] Hoseinzadeh M., Rezaeepazhand J., 2011, Dynamic buckling of perforated metallic cylindrical panels reinforced with composite patches, Journal of Reinforced Plastics and Composites 30(18): 1519-1528.
7
[8] Park W.C., Choi S.B., Suh M.S., 1999, Material characteristics of an ER fluid and its influence on damping forces of an ER damper Part II: damping forces, Materials and Design 20: 325-330.
8
[9] Lee H.G., Choi S.B., 2002, Dynamic properties of an ER fluid under shear and flow modes, Materials and Design 23: 69-76.
9
[10] El Wahed A.K., Sproston J.L., Stanway R., Williams E.W., 2003, An improved model of ERfluids in squeeze-flow through model updating of the estimated yield stress, Journal of Sound and Vibration 268: 581-599.
10
[11] Nakamura T., Saga N., Nakazawa M., 2004, Variable viscous control of a homogeneous ER fluid device considering its dynamic characteristics, Mechatronics 14: 55-68.
11
[12] Patil S.S., Gawade S.S., Patil S.R., 2011, Electrorheological Fluid Damper for Vibration Reduction in Rotary System, International Journal of Fluids Engineering 3(3): 325-333.
12
[13] Sung K.G., Han Y.M., Cho J.W., Choi S.B., 2008, Vibration control of vehicle ER suspension system using fuzzy moving sliding mode controller, Journal of Sound and Vibration 311: 1004-1019.
13
[14] Hong S. R., Choi S. B., Lee D. Y., 2006, Comparison of vibration control performance between flow and squeeze mode ER mounts: Experimental work, Journal of Sound and Vibration 291 :740-748.
14
[15] Kim J., Kim J.Y., Choi S.B.,2003, Material characterization of ER fluids at high frequency, Journal of Sound and Vibration 267 : 57-65.
15
[16] Yeh J. Y., Chen L. W., 2004, Vibration of a sandwich plate with a constrained layer and electrorheological fluid core, Composite Structures 65: 251-258.
16
[17] Yeh J.Y., Chen L.W., 2005, Dynamic stability of a sandwich plate with a constraining layer and electrorheological fluid core, Journal of Sound and Vibration 285: 637-652.
17
[18] Mohammadi F., Sedaghati R., 2012, Vibration analysis and design optimization of sandwich cylindrical panels fully and partially treated with electrorheological fluid materials, Journal of Intelligent Material Systems and Structures 23: 1679-1697.
18
[19] Pahlavan L., Rezaeepazhand J., 2007, Dynamic response analysis and vibration control of a cantilever beam with a squeeze-mode electrorheological damper, Smart Materials and Structures 16: 2183-2189.
19
[20] Rezaeepazhand J., Pahlavan L., 2009, Transient response of sandwich beams with electrorheological core, Journal of Intelligent Material Systems and Structures 20: 171-179.
20
[21] Tabassian R., Rezaeepazhand J., 2012, Stability of smart sandwich beams with cross-ply faces and electrorheological core subjected to axial load, Journal of Reinforced Plastics and Composites 31: 55-64.
21
[22] Jung W.J., Jeong W.B., Hong S.R., Choi S.B., 2004, Vibration control of a flexible beam structure using squeeze-mode ER mounts, Journal of Sound and Vibration 273: 185-199.
22
[23] Owen D.R.J., Hinton E., 1980, Finite Elements in Plasticity: Theory and Practice, Pineridge Press, Swansea.
23
ORIGINAL_ARTICLE
Reflection and Transmission at the Boundary of Two Couple Stress Generalized Thermoelastic Solids
In this paper the reflection and transmission at a plane interface between two different couple stress generalized thermoelastic solid half spaces in context of Loard-Shulman(LS)[1967] and Green-Lindsay(GL)[1972] theories in welded contact has been investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves. It is found that the amplitude ratios of various reflected and transmitted waves are functions of angle of incidence, frequency and are affected by the couple stress properties of the media. Some special cases are deduced from the present formulation.
http://jsm.iau-arak.ac.ir/article_520690_02a6c79fbb67128e698ac2b618c02e57.pdf
2016-03-30
58
77
Couple stress thermoelastic solid
Longitudinal wave
Transverse wave
Reflection
Transmission
Amplitude ratios
R
Kumar
rajneesh_kuk@rediffmail.com
1
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119, India
LEAD_AUTHOR
K
Kumar
2
Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, 131001, India
AUTHOR
R.C
Nautiyal
3
Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, 131001, India
AUTHOR
[1] Voigt W., 1887, Theoretische studien uber die elastizitastsverhaltnisse der kristalle, Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen 34:3-51.
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[2] Cosserat E., Cosserat F., 1909, Theorie des Corps Deformables, Hermann et Fils, Paris.
2
[3] Toupin R.A., 1962, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis 11(1): 385-414.
3
[4] Mindlin R.D., Tiersten H.F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis 11: 415-448.
4
[5] Mindlin R.D., 1963, Influence of couple-stresses on stress-concentrations, Experimental Mechanics 3: 1-7.
5
[6] Koiter W.T., 1964, Couple-stresses in the theory of elasticity, Proceedings of the Koninklijke Nederlandse Academie van Wetenschappen, Amsterdam.
6
[7] Yang J.F.C., Lakes R.S., 1982, Experimental study of micropolar and couple stress elasticity in compact bone in bending, Journal of Biomechanics 15: 91-98.
7
[8] Yang F., Chong A.C.M., Lam D.C.C., Tong P., 2002, Couple stress based strain gradient theory of elasticity, International Journal of Solids and Structures 39: 2731-2743.
8
[9] Sengupta P.R., Ghosh B., 1974, Effects of couple stresses on the surface waves in elastic media, Gerlands Beitr Geophys 83:1-18.
9
[10] Sengupta P.R., Ghosh B., 1974, Effects of couple stresses on the propagation of waves in an elastic layer, Pure and Applied Geophysics 112:331-338.
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[11] Sengupta P.R., Benerji D.K., 1978, Effects of couple-stresses on propagation of waves in an elastic layer immersed in an infinite liquid, International Journal of Pure and Applied Mathematics 9:17-28.
11
[12] Georgiadis H.G., Velgaki E.G., 2003, High-frequency rayleigh waves in materials with micro-structure and couple-stress effects, International Journal of Solids and Structures 40:2501-2520.
12
[13] Lubarda V.A., Markenscoff X., 2000, Conservation integrals in couple stress elasticity, Journal of the Mechanics and Physics of Solids 48:553-564.
13
[14] Bardet J.P., Vardoulakis I., 2001, The asymmetry of stress in granular media, International Journal of Solids and Structures 38:353-367.
14
[15] Lubarda V.A., 2003, Circular inclusions in anti-plane strain couple stress elasticity, International Journal of Solids and Structures 40:3827-3851.
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[16] Jasiuk I., Ostoja-Starzewski M., 1995, Planar cosserat elasticity of materials with holes and intrusions, Applied Mechanics Reviews 48(11):S11-S18.
16
[17] Akgoz B., Civalek O., 2013, Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory, Meccanica 48(4):863-873.
17
[18] Sharma V., Kumar S., 2014, Velocity dispersion in an elastic plate with microstructure: effects of characteristic length in a couple stress model, Meccanica 49:1083-1090.
18
[19] Biot M., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics 27: 240-253.
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[20] Lord H., Shulman Y., 1967, A generalized dynamical theory of elasticity, Journal of the Mechanics and Physics 15: 299-309.
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[21] Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.
21
[22] Ram P., Sharma N., 2008, Reflection and transmission of micropolar thermoelastic waves with an imperfect bonding, International Journal of Applied Mathematics and Mechanics 4(3): 1-23.
22
[23] Xue B.B., Xu H.Y., Fu Z.M., Sun Q.Y., 2010, Reflection and refraction of longitudinal displacement wave at interface between two micropolar elastic solid, Advanced Materials Research 139-141: 214-217.
23
[24] Kumar R., Kaur M., Rajvanshi S.C., 2014, Reflection and transmission between two micropolar thermoelastic half-spaces with three-phase-lag model, Journal of Engineering Physics and Thermophysics 87(2): 295-307.
24
ORIGINAL_ARTICLE
Dynamic Response of an Axially Moving Viscoelastic Timoshenko Beam
In this paper, the dynamic response of an axially moving viscoelastic beam with simple supports is calculated analytically based on Timoshenko theory. The beam material property is separated to shear and bulk effects. It is assumed that the beam is incompressible in bulk and viscoelastic in shear, which obeys the standard linear model with the material time derivative. The axial speed is characterized by a simple harmonic variation about a constant mean speed. The method of multiple scales with the solvability condition is applied to dimensionless form of governing equations in modal analysis and principal parametric resonance. By a parametric study, the effects of velocity, geometry and viscoelastic parameters are investigated on the response.
http://jsm.iau-arak.ac.ir/article_520691_f045e1e5df6f7bd42eeb1fcfcf5d9810.pdf
2016-03-30
78
92
Viscoelastic
Axially moving beam
Perturbation
Dynamic Response
Timoshenko theory
H
Seddighi
1
School of Mechanical Engineering, University of Shahrood , Shahrood , Islamic Republic of Iran
AUTHOR
H.R
Eipakchi
hamidre_2000@vatanmail.ir
2
School of Mechanical Engineering, University of Shahrood , Shahrood , Islamic Republic of Iran
LEAD_AUTHOR
[1] Chen L.Q., Yang X.D., Cheng C.J., 2004, Dynamic stability of an axially accelerating viscoelastic beam, European Journal of Mechanics - A/Solids 23: 659-666.
1
[2] Mockensturm E.M., Guo J., 2005, Nonlinear vibration of parametrically excited viscoelastic axially moving strings, Journal of Applied Mechanics 72: 374-380.
2
[3] Tang Y.Q., Chen L.Q. , Yang X.D., 2009,Nonlinear vibrations of axially moving Timoshenko beams under weak and strong external excitations, Journal of Sound and Vibration 320: 1078-1099.
3
[4] Chen L.Q., Tang Y.Q., Lim C.W., 2010, Dynamic stability in parametric resonance of axially accelerating viscoelastic Timoshenko beams, Journal of Sound and Vibration 329: 547-565.
4
[5] Ding H. , Chen L.Q., 2011, Approximate and numerical analysis of nonlinear forced vibration of axially moving viscoelastic beams, Acta Mechanica Sinica 27(3): 426-437.
5
[6] Chen L.Q., Tang Y.Q., 2011, Combination and principal parametric resonances of axially accelerating viscoelastic beams: Recognition of longitudinally varying tensions. Journal of Sound and Vibration 330 (23): 5598-5614.
6
[7] Ghayesh M., 2011, Nonlinear forced dynamics of an axially moving viscoelastic beam with an internal resonance, International Journal of Mechanical Sciences 53(11): 1022-1037.
7
[8] Wang B., Chen L.Q., 2012, Asymptotic analysis on weakly forced vibration of axially moving viscoelastic beam constituted by standard linear solid model , Applied Mathematics and Mechanics 33(6): 817-828.
8
[9] Ghayesh M., Amabili M. , Païdoussis M.P., 2012, Nonlinear vibrations and stability of an axially moving beam with an intermediate spring support: two-dimensional analysis, Nonlinear Dynamics 70: 335-354.
9
[10] Ghayesh M., Amabili M., Farokhi H., 2013, Coupled global dynamics of an axially moving viscoelastic beam, International Journal of Nonlinear Mechanics 51: 54-74.
10
[11] Youqi T., 2013, Nonlinear vibrations of axially accelerated viscoelastic Timoshenko beam, Chinese Journal of Theoretical and Applied Mechanics 45 (6): 965-973.
11
[12] Riandeh E., Calleja R.D., Prolongo M.G. , 2000, Polymer Viscoelasticity: stress and Strain in Practice, Marcel Dekker Inc., New York.
12
[13] Brinson H.F., Brinson L.C., 2008, Polymer Engineering Science and Viscoelasticity: an Introduction, Springer Science Business Media, LLC, New York.
13
[14] Rao S.S., 2007, Vibration of Continues Systems, John Wiley, New Jersey.
14
[15] Roylance D., 2001, Engineering Viscoelasticity, Massachusetts Institute of Technology, Cambridge, Department of Material Science and Engineering.
15
[16] Nayfeh A.H., 1993, Introduction to Perturbation Techniques, John Wiley, New York.
16
[17] Seddighi H., Eipakchi H.R., 2013, Natural Frequency and Critical Speed Determination of an Axially Moving Viscoelastic Beam, Mechanics of Time-Dependent Materials 17:529-541.
17
ORIGINAL_ARTICLE
A Simple Finite Element Procedure for Free Vibration and Buckling Analysis of Cracked Beam-Like Structures
In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are used. The method is able to model cracked beam-columns by using ordinary beam elements. Therefore, it is possible to solve these problems with much less computational costs compared to 2D and 3D standard FE models. Numerical examples are offered to demonstrate the efficiency and effectiveness of the presented method.
http://jsm.iau-arak.ac.ir/article_520692_1985a372b0f3c19f717ea945157417fe.pdf
2016-03-30
93
103
Cracked beam
Modal Analysis
Buckling load
F.E.M
M.R
Shirazizadeh
mshirazizadeh@yahoo.com
1
Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
LEAD_AUTHOR
H
Shahverdi
2
Department of Aerospace Engineering and Center of Excellence in Computational Aerospace, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15875-4413, Iran
AUTHOR
A
Imam
3
Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
AUTHOR
[1] Kirmsher P.G., 1944, The effect of discontinuity on natural frequency of beams, Proceedings of the American Society of Testing and Materials 44: 897-904.
1
[2] Thomson W.J., 1943, Vibration of slender bars with discontinuities in stiffness, Journal of Applied Mechanics 17: 203-207.
2
[3] Zheng T., Ji T., 2012, An approximate method for determining the static deflection and Natural frequency of a
3
cracked beam, Journal of Sound and Vibration 331: 2654-2670.
4
[4] Okamura H., Liu H.W., Chorn-Shin C., Liebowitz H., 1969, A cracked column under compression, Engineering Fracture Mechanics 1: 547-564.
5
[5] Rizos P.F., Aspragathos N., Dimarogonas A.D., 1990, Identification of crack location and magnitude in a cantilever beam from the vibration modes, Journal of Sound and Vibration 138: 381-388.
6
[6] Ostachowicz W.M., Krawczuk M., 1991, Analysis of the effect of cracks on the Natural frequencies of a cantilever
7
beam, Journal of Sound and Vibration 150: 191-201.
8
[7] Zheng D.Y., Fan S.C., 2003, Vibration and stability of cracked hollow-sectional beams, Journal of Sound and Vibration 267: 933-954.
9
[8] Yazdchi K., Gowhari Anaraki A.R., 2008, Carrying capacity of edge-cracked columns under concentric vertical loads, Acta Mechanica 198: 1-19.
10
[9] Liu H.W., Chu C.S., Liebowitz H., 1973, Cracked columns under compression fixed ends, Engineering Fracture
11
Mechanics 3: 219-230.
12
[10] Shirfin E.I., Ruotolo R., 1999, Natural frequencies of a beam with an arbitrary number of cracks, Journal of Sound
13
and Vibration 222: 409-423.
14
[11] Li Q.S., 2001, Buckling of multi-step cracked columns with shear deformation, Engineering Structures 23: 356-364.
15
[12] Douka E., Bamnios G., Trochidis A., 2004, A method for determining the location and depth of cracks in double-
16
cracked beams, Applied Acoustics 65: 997-1008.
17
[13] Fernandez Saez J., Rubio L., Navarro C., 1999, Approximate calculations of the fundamental frequency for bending
18
vibrations of cracked beams, Journal of Sound and Vibration 225: 345-352.
19
[14] Attar M.A., 2012, Transfer matrix method for free vibration analysis and crack identification of stepped beams with
20
multiple edge cracks and different boundary conditions, International Journal of Mechanical Sciences 57: 19-33.
21
[15] Shen M.H.H., Pierre C., 1990, Natural modes of bernoulli-euler beams with symmetric cracks, Journal of Sound and Vibration 138: 115-134.
22
[16] Tharp T.M., 1987, A finite element for edge-cracked beam columns, International Journal of Numerical Methods in Engineering 24: 1941-1950.
23
[17] Gounaris G., Dimarogonas A., 1998, A finite element of a cracked prismatic beam for structural analysis, Computers
24
& Structures 28: 309-313.
25
[18] Ostachowicz W.M., Krawczuk M., 1990, Vibration analysis of a cracked beam, Computers & Structures 36: 245-250.
26
[19] Skrinar M., Plibersek T., 2007, New finite element for transversely cracked slender beams subjected to transverse
27
loads, Computational Materials Science 39: 250-260.
28
[20] Bouboulas A.S., Anifantis N.K., 2008, Formulation of cracked beam element for analysis of fractured skeletal structures, Engineering Structures 30: 894-901.
29
[21] Ansys Level 6.1, 1973, Data Preparation Manual, ANSYS, Canonsburg, Pennsylvania.
30
ORIGINAL_ARTICLE
A New Numerical Procedure for Determination of Effective Elastic Constants in Unidirectional Composite Plates
In this paper a composite plate with similar unidirectional fibers is considered. Assuming orthotropic structure, theory of elasticity is used for investigating the stress concentration. Also, complex variable functions are utilized for solving the plane stress problems. Then the effective characteristics of this plate are studied numerically by using ANSYS software. In this research a volume element of fibers in square array is considered. In order to investigate the numerical finite element modeling, the modeling of a quarter unit cell is considered. For determining the elasticity coefficients, stress analysis is performed for considered volume with noting to boundary conditions. Effective elasticity and mechanical properties of composite which polymer epoxy is considered as its matrix, are determined theoretically and also by the proposed method in this paper with finite element method. Finally, the variations of mechanical properties with respect to fiber-volume fraction are studied.
http://jsm.iau-arak.ac.ir/article_520694_d89f5b90ec8b8d043a77f25b47e4ff34.pdf
2016-03-30
104
115
Composite plate
Unidirectional fibers
Effective elastic constants
Orthotropic plate
S
Daryazadeh
1
National Technical University , Kharkov Polytechnic Institute, Ukraine, Kharkov
AUTHOR
L
Lvov Gennadiy
2
National Technical University , Kharkov Polytechnic Institute, Ukraine, Kharkov
AUTHOR
M
Tajdari
m.tajdari@srbiau.ac.ir
3
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
LEAD_AUTHOR
[1] Voigt W., 1889, Uber die beziehung zwischen den beiden elastizitatskonstanten isotroper korper, Wiedemann's Annalen 38 : 573-587.
1
[2] Reuss A., 1929, Berechnung der fliessgrense von mischkristallen auf grund der plastizitatsbedingun fur einkristalle, Zeitschrift Angewandte Mathematik und Mechanik 9 : 49-58.
2
[3] Halpin J.C., Kardos J.L., 1976, The halpin-tsai equations: a review, Polymer Engineering and Science 16(5): 344-352.
3
[4] Chamis C.C., 1989, Mechanics of composite materials: past, present and future, The Journal of Composites Technology and Research 11: 3-14.
4
[5] Hashin Z., Rosen B.W., 1964, The elastic moduli of fiber reinforced materials, Journal of Applied Mechanics 31: 223-232.
5
[6] Christensen R.M., 1990, A critical evaluation for a class of micromechanical models, Journal of Mechanics and Physics of Solids 38(3): 379- 404.
6
[7] Mori T., Tanaka K., 1973, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica 21: 571-574.
7
[8] Hill R., 1965, Theory of mechanical properties of fiber-strengthen materials-3 self-consistent model, Journal of Mechanics and Physics of Solids 13 :189-198.
8
[9] Bubiansky B., 1965, On the elastic modulli of some heterogeneous materials, Journal of Mechanics and Physics of Solids 13: 223-227.
9
[10] Chou T.w., Nomura S., Taya M., 1980, A self- consistent approach to the elastic stiffness of short-fiber composites, Journal of Composite Materials 14: 178-188.
10
[11] Huang Z.M., 2001, Simulation of the mechanical properties of fibrous composites by the bridging micromechanics model, Composites: Part A 32: 143-172.
11
[12] Huang Z.M., 2001, Micromechanical prediction of ultimate strength of transversely isotropic fibrous composites, International Journal of Solids and Structures 38: 4147-4172.
12
[13] Vanin G. A., 1985, Micro-Mechanics of Composite Materials, Nauka Dumka, Kiev.
13
[14] Carpeenosa D. M., 1985, Composite Materials, Nauka Dumka, Kiev.
14
ORIGINAL_ARTICLE
Numerical and Experimental Study of Buckling of Rectangular Steel Plates with a Cutout
Steel plates are used in various structures, such as the structures of the deck and body of ships, bridges, and aerospace industry. In this study, we investigate the buckling and post-buckling behavior of rectangular steel plates having circular cutouts with two boundary conditions: first, clamped supports at upper and lower ends and free supports at other edges; second, clamped supports at upper and lower ends and simply supports at other edges, using finite element method (by ABAQUS software) and experimental tests(by an INSTRON servo hydraulic machine). In this research, in addition to the aspect ratio, the effect of changing the location of the cutout on the buckling analysis is investigated. The results of both numerical and experimental analyses are compared and showing a very good agreement between them.
http://jsm.iau-arak.ac.ir/article_520695_c6afb39f9d7ce16b28798f300e125040.pdf
2016-03-30
116
129
Buckling
Steel plates
Cutout
Experimental analysis
FEM
M
Shariati
mshariati44@um.ac.ir
1
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
LEAD_AUTHOR
Y
Faradjian
2
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
AUTHOR
H
Mehrabi
3
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
AUTHOR
[1] Timoshenko S.P., Gere J.M., 1961, Theory of Elastic Stability, McGraw-Hill Book Company, New York.
1
[2] El-Sawy Khaled M., Nazmy Aly S., 2001, Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes , Thin-Walled Structures 39: 983-998.
2
[3] El-Sawy Khaled M., Nazmy Aly S., Ikbal Martini M., 2004, Elasto-plastic buckling of perforated plates under uniaxial compression , Thin-Walled Structures 42: 1083-1101.
3
[4] Narayanan R., Chow F.Y., 1984, Ultimate capacity of uniaxially compressed perforated plates, Thin-Walled Structures 2: 241-264.
4
[5] Shanmugam N.E., Thevendran V., Tan Y.H., 1999, Design formula for axially compressed perforated plates, Thin-Walled Structures 34: 1-20.
5
[6] Roberts T.M., Azizian Z.G.,1984, Strength of perforated plates subjected to in-plane loading, Thin-Walled Structures 2: 153-164.
6
[7] Mignot F., Puel J-P., Suquet P-M., 1980, Homogenization and bifurcation of perforated plates, Engineering science 18: 409-414.
7
[8] Yetterman A.L., Brown C.J., 1985, The elastic stability of square perforated plates, Computer & Structures 21(6): 1267-1272.
8
[9] Maan F.S., Querin O.M., Barton D.C., 2007, Extension of the fixed grid finite element method to eigenvalue problems, Advances in Engineering Software 38(8-9): 607-617.
9
[10] Singh Anand V., Tanveer M., 2006, Eigenvalue analysis of doubly connected plates with different configurations, Journal of Sound and Vibration 295: 76-93.
10
[11] Aydin Komur M., Sonmez M., 2008, Elastic buckling of rectangular plates under linearly varying in-plane normal load with a circular cutout, Mechanics Research Communications 35(6): 361-371.
11
[12] Rahai A.R., Alinia M.M., Kazemi S., 2008, Buckling analysis of stepped plates using modified buckling mode shapes, Thin-Walled Structures 46: 484-493.
12
[13] Eccher G., Rasmussen K.J.R., Zandonini R., 2008, Elastic buckling analysis of perforated thin-walled structures by the isoparametric spline finite strip method, Thin-Walled Structures 46: 165-191.
13
[14] Maiorana E., Pellegrino C.. Modena C., 2009, Elastic stability of plates with circular and rectangular holes subjected to axial compression and bending moment, Thin Walled Structure 47(3): 241-255.
14
[15] Eccher G., Rasmussen K.J.R., Zandoninib R., 2009, Geometric nonlinear isoparametric spline finite strip analysis of perforated, Thin-walled structures 47(2): 219-232.
15
[16] Paik J.K., 2008, Ultimate strength of perforated steel plates under combined biaxial compression and edge shear loads, Thin-Walled Structures 46: 207-213.
16
ORIGINAL_ARTICLE
Dynamic Analysis of Offshore Wind Turbine Towers with Fixed Monopile Platform Using the Transfer Matrix Method
In this paper, an analytical method for vibrations analysis of offshore wind turbine towers with fixed monopile platform is presented. For this purpose, various and the most general models including CS, DS and AF models are used for modeling of wind turbine foundation and axial force is modeled as a variable force as well. The required equations for determination of wind turbine tower response excited by the Morrison force are derived based on Airy wave theory. The transfer matrix is derived for each element of the tower using Euler-Bernoulli’s beam differential equation and the global transfer matrix is obtained considering boundary conditions of the tower and constructing the point matrix. The effective wave force is intended in several case studies and Persian Gulf Environmental conditions are examined for the installation of wind farms. Finally, the obtained results by the transfer matrix method are compared with the results of the finite elements method and experimental data which show good agreement in spite of low computational cost.
http://jsm.iau-arak.ac.ir/article_520696_d3757687ae75b5158b07a6ad0568030c.pdf
2016-03-30
130
151
Offshore wind turbine tower
Transfer matrix method
Natural Frequencies
Foundation models
Morrison wave force
M
Feyzollahzadeh
1
Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran
AUTHOR
M.J
Mahmoodi
mj_mahmoudi@sbu.ac.ir
2
Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran
LEAD_AUTHOR
[1] Herbert G.M., Iniyan S., Sreevalsan E., Rajapandian S., 2007, A review of wind energy technologies, Renewable and Sustainable Energy 11: 1117-1145.
1
[2] Manwell J.F., McGowan J.G., Rogers J.G., 2002, Wind Energy Explained (Theory, Design and Application), John Wiley & Sons.
2
[3] Data sheet offshore wind energy, 2010, European Wind Energy Association, Publishing Physics Web, www.ewea.com.
3
[4] Mostafaeipour A., 2010, Feasibility study of offshore wind turbine installation in Iran compared with the world, Renewable and Sustainable Energy 14: 1-22.
4
[5] Samani M., Zadegan H., Saibani M., 2011, Feasibility study of offshore wind turbine installation in the Persian Gulf, Proceedings of the 13th Marine Industries Conference .
5
[6] Kaljahi A., Lotfollahi M., 2013, Performance analysis of tension leg platform offshore wind turbine in The Caspian Sea, Proceedings of the First New Energy Conference.
6
[7] Kaljahi A., Lotfollahi M., 2013, Technical feasibility study of using offshore wind turbine in the Iran, Proceedings of the First New Energy Conference.
7
[8] Breton S.P., Moe G., 2009, Status, plans and technologies for offshore wind turbines in Europe and North America, Renewable Energy 34: 646-654.
8
[9] Van Bussel G.J.W., Zaaijer M.B., 2001, Reliability, availability and maintenance aspects of large scale offshore wind farms, Proceedings of the MAREC.
9
[10] Bhattacharya S., Lombardi D., Wood D.M., 2010, Similitude relationships for physical modeling of monopile-supported offshore wind turbines, International Journal of Physical Modeling in Geotechnics 11: 58-68.
10
[11] Kim K.T., Lee C.W., 2011, Structural vibration analysis of large-scale wind turbines considering periodically time-varying parameters, Proceedings of the 13th World Congress in Mechanism and Machine Science.
11
[12] Chaoyang F., Nan W., Bol Z., Changzheng C., Dynamic performance investigation for large-scale wind turbine tower, Proceedings of the IEEE.
12
[13] Bazeos N., Hatzigeorgiou G. D., HondrosI D., Karamaneas H., Karabalis D. L., Beskos D. E., 2002, Static, seismic and stability analyses of a prototype wind turbine steel tower, Engineering Structures 24: 1015-1025.
13
[14] Salehi S., Pirooz M., Daghigh M., 2009, Aerodynamic and structural analysis of offshore wind turbine tower in The Persian Gulf, Proceedings of the Marine industries conference.
14
[15] Lavassas G., Nikolaidis G., Zervas P., Efthimiou E., Doudoumis I.N., Baniotopoulos C.C., 2003, Analysis and design of the prototype of a steel 1-MW wind turbine tower, Engineering Structures 25: 1097-1106.
15
[16] He Z., Jianyuan X., Xiaoyu W., 2009, The dynamic characteristics numerical simulation of the wind turbine generators tower based on the turbulence model, Proceedings of the International Conference on Industrial Electronics and Applications.
16
[17] Bush E., Manuel L., 2009, Foundation models for offshore wind turbines, Proceedings of the Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.
17
[18] Passon P., Kühn1M., Butterfield S., Jonkman J., Camp T., Larsen T.J., 2007, OC3 benchmark exercise of aero-elastic offshore wind turbine codes, Journal of Physics, Conference Series 75: 1-12.
18
[19] Chen J., Jiang D., 2010, Modal analysis of wind turbine tower, Proceedings of the IEEE.
19
[20] Murtagh P.J., Basu B., Broderick B.M., 2004, Simple models for natural frequencies and mode shapes of towers supporting utilities, Computers and Structures 84: 1745-1750.
20
[21] Maalawi Y., 2007, A Model for yawing dynamic optimization of a wind turbine structure, International Journal of Mechanical Sciences 49: 1130-1138.
21
[22] Wang J., Qin D., Lim T., 2010, Dynamic analysis of horizontal axis wind turbine by thin-walled beam theory, Journal of Sound and Vibration 325: 3565-3586.
22
[23] Kort D.A., 2003, The transfer matrix method applied to steel sheet pile walls, International Journal for Numerical and Analytical Methods in Geomechanics 27: 453-472.
23
[24] Dawson B., Davies M., 1974, An improved transfer matrix procedure, International Journal for Numerical Methods in Engineering 8: 111-117.
24
[25] Tso W.K., Chan P.C.K., 1973, Static analysis of stepped coupled walls by transfer matrix method, Building science 8: 167-177.
25
[26] Holzer H., 1921, Die Berechnung der Drehschwingungen, Springer.
26
[27] Myklestad N.O., 1944, New method of calculating natural modes of uncoupled bending vibrations of airplane wings and other types of beams, Aeronaut Science 6: 153-166.
27
[28] Pestel C., Leckie A., 1963, Matrix Methods in Elastomechanics, McGraw Hill, New York.
28
[29] Dai H.L., Wang L., Qian Q., Gan J., 2012, Vibration analysis of three-dimensional pipes conveying fluid with consideration of steady combined force by transfer matrix method, Applied Mathematics and Computation 219: 2453-2464.
29
[30] Orasanu N., Craifaleanu A., 2011, Theoretical and experimental analysis of the vibrations of an elastic beam with four concentrated masses, Proceedings of the SISOM 2011 and Session of the Commission of Acoustics.
30
[31] Li Q.S., Fang J.Q., Jeary A.P., 2000, Free vibration analysis of cantilevered tall structures under various axial loads, Engineering Structures 22: 525-534.
31
[32] Rohani A., 2002, Vibration analysis of rotor, bearing and membrane system in a Gas turbine, Msc Thesis, Sharif University of Technology,Tehran.
32
[33] Uhrig R., 1966, The transfer matrix method seen as one method of structural analysis among others, Journal of Sound and Vibration 4: 136-148.
33
[34] Fallah A., 1999, Lateral vibration analysis of ship’s rotor, Msc Thesis, Sharif University of Technology, Tehran.
34
[35] Farshidianfar A., Hoseinzadeh M., Raghebi M., 2008, A novel way for crack detection in rotors using mode shape changes, Journal of Mechanic and Aerospace 8: 23-37.
35
[36] Bababake M., 2004, Vibration analysis of rotor-bearing system by transfer matrix method, Msc Thesis, Sharif University of Technology, Tehran.
36
[37] Meng W., Zhangqi W., Huaibi Z., 2009, Analysis of wind turbine steel tower by transfer matrix method, Proceedings of the International Conference on Electrical Engineering.
37
[38] Meng W., Zhangqi W., 2011, The vibration frequencies of wind turbine steel tower by transfer matrix method, Proceedings of the Third International Conference on Measuring Technology and Mechatronics Automation.
38
[39] Guidelines for Design of Wind Turbines, 2002, Second Edition, Printed by Jydsk Centraltrykkeri, Denmark.
39
[40] Andersen L.V., Vahdatirad M.J., Sichani M.T., Sorensen J.D.,2012, Natural frequencies of wind turbines on mono pile foundations in clayey soils-A probabilistic approach, Computers and Geotechnics 43: 1-11.
40
[41] Petersen B., Pollack M., Connell B., Greeley D., Daivis D., Slavik C., 2010, Evaluate the effect of turbine period of vibration requirements on structural design parameters, Applied Physical Sciences Corp 10-12.
41
[42] Schaumann P., Boker C., 2011, Support Structures of Wind Energy Converters, Springer, Wien New York.
42
[43] Sadeghi K., 2002, Coasts, Ports and Offshore Structures Engineering, Press of Water and Power University, First Edition.
43
[44] Taghipoor M., Qureshi Tayebi A., Lotfollahi yaghin A., 2005, Investigation of hydrodynamic forces on the roughness of the pile and compare it with candles, smooth and rough, Proceedings of the First Congress on Civil Engineering.
44
[45] Feyzollahzadeh M., Vibration analysis of offshore wind turbine on a monopile support structure, Msc Thesis, Shahid Beheshti University,Tehran.
45
[46] Bir G., Jonkman J., 2008, Modal dynamics of large wind turbines with different support structures, Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering.
46
[47] Recommended Practice for Planning, Designing and Constructing Fixed Offshore Platforms Working Stress Design, 2000, API Recommended Practice, 2A-WSD.
47
[48] Jonkman J., Butterfield S., Passon P., Larsen T., Camp T., Nichols J., Azcona J., Martinez A., 2008, Offshore code comparison collaboration within IEA wind annex XXIII: phase II results regarding monopile foundation modeling, NREL/CP-500-42471, National Renewable Energy Laboratory.
48
[49] Han M., Benaroya H., Wei T., 1999, Dynamics of transversely vibrating beams using four engineering theories, Journal of Sound and vibration 5: 935-988.
49
[50] Wu J., Chen C., 2007, Forced vibration analysis of an offshore tower carrying an eccentric tip mass with rotary Inertia due to support excitation, Ocean Engineering 34: 1235-1244.
50
[51] Zhang Y., , Liu Y., , Chen P., Murphy K.D., 2011, Buckling loads and eigen frequencies of a branced beam resting on elastic foundation, Acta Mechanica Solida Sinica 24: 510-518.
51
[52] Parvanova S., 2011, Beams on Elastic Foundation, University of Architecture, Civil Engineering and Geodesy Sofia, 111-125.
52
[53] Feyzollahzadeh M., Yadavar Nikravesh M., Rahi A., 2013, Dynamic analysis of offshore wind turbine tower using the transfer matrix method, Proceedings of the 9th International Energy Conference.
53
[54] Jonkman J., Musial W., 2010, Offshore code comparison collaboration (OC3), Final Technical Report, NREL/TP-5000-48191, National Renewable Energy Laboratory.
54
[55] Passon P., 2006, Memorandum: Derivation and Description of the Soil-Pile-Interaction Models, IOP Publishing Physics, IEA-Annex XXIIII Subtask 2, Stuttgart, Germany.
55
[56] Devriendt C., Jordaens P., Ingelgem Y. V., Sitter G. D., Guillaume P., 2012, Monitoring of Resonant Frequencies and Damping Values of an Offshore Wind Turbine on a Monopile Foundation, Offshore Wind Infrastructure, IOP Publishing Physics.
56
[57] General Specification V90 – 3.0 MW Variable Speed Turbine, 2004, Item no. 950010.R1, IOP Publishing Physics.
57
ORIGINAL_ARTICLE
An Exact Solution for Kelvin-Voigt Model Classic Coupled Thermo Viscoelasticity in Spherical Coordinates
In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general forms and where no limiting assumption is used. This generality allows simulate varieties of applicable problems. At the end, numerical results are presented and compared with classic theory of thermoelasticity.
http://jsm.iau-arak.ac.ir/article_520697_98ab83d19ee7a3236071d8a863249153.pdf
2016-03-30
152
167
Coupled thermo viscoelasticity
Hollow sphere
Exact solution
Kelvin-Voigt method
S
Bagheri
1
Mechanical Engineering Department, Islamic Azad University, South Tehran Branch, Tehran, Iran
AUTHOR
M
Jabbari
mohsen.jabbari@gmail.com
2
Mechanical Engineering Department, Islamic Azad University, South Tehran Branch, Tehran, Iran
LEAD_AUTHOR
[1] Lahiri A., Kar T. K., 2007, Eigenvalue approach to generalized thermoviscoelasticity with one relaxation time parameter, Tamsui Oxford Journal of Mathematical Sciences 23(2): 185-218.
1
[2] Hetnarski R. B., 1964, Solution of the coupled problem of thermoelasticity in the form of series of functions, Archiwum Mechaniki Stosowanej 16: 919-941.
2
[3] Hetnarski R. B., Ignaczak J., 1993, Generalized thermoelasticity closed-form solutions, Journal of Thermal Stresses 16: 473-498.
3
[4] Hetnarski R. B., Ignaczak J., 1994, Generalized thermoelasticity: re-sponse of semi-space to a short laser Pulse, Journal of Thermal Stresses 17: 377-396.
4
[5] Georgiadis H. G., Lykotrafitis G., 2005, Rayleigh waves generated by a thermal source: a three-dimensional transient thermoelasticity solution, Journal of Applied Mechanics 72: 129-138.
5
[6] Wagner P., 1994, Fundamental matrix of the system of dynamic linear thermoelasticity, Journal of Thermal Stresses 17: 549-565.
6
[7] Bahtui A., Eslami M. R., 2007, Coupled thermoelasticity of functionally graded cylindrical shells, Mechanics Research Communications 34: 1-18.
7
[8] Bagri A., Eslami M. R., 2004, Generalized coupled thermoelasticity of disks based on the lord-shulman model, Journal of Thermal Stresses 27: 691-704.
8
[9] Abd-Alla A.M., Hammad H. A. H., Abo-Dahab S.M., 2004, Magneto-thermo-viscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading, Applied Mathematics and Computation 155: 235-248.
9
[10] Knopoff L., 1955, The interaction between elastic wave motions and a magnetic field in electrical conductors, Journal of Geophysical Research 60: 441-456.
10
[11] Chadwick P., 1957, Elastic waves propagation in a magnetic field, Proceeding of the International Congress of Applied Mechanics, Brusseles, Belgium.
11
[12] Nowacki W., Francis P.H., Hetnarski R.B., 1975, Dynamic Problems of Thermoelasticity, Noordhoff, Leyden.
12
[13] Misra J. C., Samanta S. C., Chakrabarti A. K., 1991, Magneto-thermomechanical interaction in an aeolotropic viscoelastic cylinder permeated by a magnetic field subjected to a periodic loading, International Journal of Engineering Science 29 (10): 1209-1216.
13
[14] Misra J. C., Chatopadhyay N. C. , Samanta S. C., 1994, Thermo-viscoelastic waves in an infinite aeolotropic body with a cylindrical cavity-a study under the review of generalized theory of thermoelasticity, Composite Structures 52 (4): 705-717.
14
[15] Abd-alla A. N. , Yahia A.A., Abo-Dahab S. M., 2003, On the reflection of the generalized magneto-thermo-viscoelastic plane waves, Chaos, Solitons & Fractal 16: 211-231.
15
[16] Kaleski S., 1963, Aborpation of magneto-viscoelastic surface waves in a real conductor in a magnetic field, Proceedings of Vibration Problems 4 : 319-329.
16
[17] Abd-Alla A. M., Mahmoud S. R., 2011, Magneto-thermo-viscoelastic interactions in an unbounded non-homogeneous body with a spherical cavity subjected to a periodic loading, Applied Mathematical Sciences 5(29):1431- 1447.
17
[18] Song Y. C., Zhang Y. Q., Xu H. Y., Lu B. H., 2006, Magneto-thermo-viscoelastic wave propagation at the interface between two micropolar viscoelastic media, Applied Mathematics and Computation 176: 785-802.
18
[19] Abo-Dahab S.M., 2012, Effect of magneto-thermo-viscoelasticity in an unbounded body with a spherical cavity subjected to a harmonically varying temperature without energy dissipation, Meccanica 47:613-620.
19
[20] Sharma J. N., 2005, Some considerations on the rayleigh-lamb wave propagation in visco-thermoelastic plate, Journal of Vibration and Control 11: 1311- 1335.
20
[21] Sharma J. N., Singh D., Kumar R., 2004, Propagation of generalized visco-thermoelastic Rayleigh-Lamb waves in homogeneous isotropic plates, Journal of Thermal Stresses 27: 645- 669.
21
[22] Roy-Chudhuri S. K., Mukhopdhyay S., 2000, Effect of rotation and relaxation on plane waves in generalized thermo-viscoelasticity, International Journal of Mathematics and Mathematical Sciences 23: 497-505.
22
[23] Othman M. I. A., Abbas I. A., 2012, Fundamental solution of generalized thermo-viscoelasticity using the finite element method, Computational Mathematics and Modeling 23 (2):158-167.
23
[24] Kar A., Kanoria M., 2009, Generalized thermo-visco-elastic problem of a spherical shell with three-phase-lag effect,. Applied Mathematical Modelling 33: 3287-3298.
24
[25] Ezzat M. A., Othman M. I., El Karamany A.S., 2002, State space approach to generalized thermo-viscoelasticity with two relaxation times, International Journal of Engineering Science 40: 283-302.
25
[26] Ezzat M. A., El Karamany A. S., Smaan A. A., 2001, State space formulation to generalized thermo-viscoelasticity with thermal relaxation, Journal of Thermal Stresses 24: 823- 846.
26
[27] Jabbari M., Dehbani H., Eslami M. R., 2010, An exact solution for classic coupled thermoelasticity in spherical coordinates, Journal of Pressure Vessel Technology 132 (3): 031201.
27
ORIGINAL_ARTICLE
Frequency Aanalysis of Annular Plates Having a Small Core and Guided Edges at Both Inner and Outer Boundaries
This paper deals with frequency analysis of annular plates having a small core and guided edges at both inner and outer boundaries. Using classical plate theory the governing differential equation of motion for the annular plate having a small core is derived and solved for the case of plate being guided at inner and outer edge boundaries. The fundamental frequencies for the first six modes of annular plate vibrations are computed for different materials and varying values of the radius parameter. The fundamental frequencies thus obtained may be classified into to axisymmetric and/or non-axisymmetric modes of vibration. The exact values of fundamental frequencies presented in this paper clearly show that no mode switching takes place for the case of annular plates with guided edges. The results presented in this paper will be of use in design and also serve as benchmark values to enable the researchers to validate their results obtained using numerical methods such as differential quadrature or finite element methods.
http://jsm.iau-arak.ac.ir/article_520698_151f1b8dd6019c4a4bab7e123553aeb5.pdf
2016-03-30
168
174
Annular Plate
vibrations
Guided edge
Mode switching
L.B
Rao
bhaskarbabu_20@yahoo.com
1
School of Mechanical and Building Sciences, VIT University, Chennai Campus, Vandalur-Kelambakkam Road, Chennai-600127, Tamil Nadu, India
LEAD_AUTHOR
C.K
Rao
2
Nalla Narsimha Reddy Engineering College, Korremula 'X' Road, Chowdariguda (V), Ghatkesar (M), Ranga Reddy (dt) - 500088, Telangana State, India
AUTHOR
[1] Leissa A.W., 1969, Vibration of Plates, NASA SP-160.
1
[2] Leissa A.W., 1977, Recent research in plate vibrations: classical theory, Shock and Vibration Digest 9(10): 13-24.
2
[3] Leissa A.W., 1987, Recent research in plate vibrations, classical theory, Shock and Vibration Digest 19: 11-18.
3
[4] Weisensel G.N., 1989, Natural frequency information for circular and annular plates, Journal of Sound and Vibration 133(1): 129-134.
4
[5] Soedel W., 1993, Vibrations of Shells and Plates, Marcel Dekker, New York.
5
[6] Gabrielson T.B., 1999, Frequency constants for transverse vibration of annular disks, Journal of the Acoustical Society of America 105(6): 3311-3317.
6
[7] Irie T., Yamada G., Takagi K., 1982, Natural frequencies of thick annular plates, Journal of Applied Mechanics 49(3): 633-638.
7
[8] Ramaiah G. K., 1980, Flexural vibrations of annular plates under uniform in-plane compressive forces, Journal of Sound and Vibration 70(1): 117-131.
8
[9] Vera S.A., Laura P.A.A., Vega D.A., 1999, Transverse vibrations of a free-free circular annular plate, Journal of Sound and Vibration 224(2): 379-383.
9
[10] Amabili M., Garziera R., 1999, Comments and additions to transverse vibrations of circular, annular plates with several combinations of boundary conditions, Journal of Sound and Vibration 228: 443-447.
10
[11] Southwell R.V., 1922, On the transverse vibrations of uniform circular disc clamped at its center and the effects of rotation, Proceedings of the Royal Society of London A 101(709): 133-153.
11
[12] Kim C.S., Dickinson S.M., 1990, The flexural vibration of thin isotropic and polar orthotropic annular and circular plates with elastically restrained peripheries, Journal of Sound and Vibration 143(1): 171-179.
12
[13] Bhaskara Rao L., Kameswara Rao C., 2011, Fundamental buckling of annular plates with elastically restrained guided edges against translation, Mechanics Based Design of Structures and Machines 39(4): 409-419.
13
[14] Bhaskara Rao L., Kameswara Rao C., 2012, Vibrations of circular plates with guided edge and resting on elastic foundation, Journal of Solid Mechanic 4(3): 307-312.
14
[15] Wang C.Y., Wang C.M., 2005, Examination of the fundamental frequencies of annular plates with small core, Journal of Sound and Vibration 280(3-5): 1116-1124.
15
ORIGINAL_ARTICLE
Consolidation Around a Heat Source in an Isotropic Fully Saturated Rock with Porous Structure in Quasi-Static State
The titled problem of coupled thermoelasticity for porous structure has been solved with an instantaneous heat source acting on a plane area in an unbounded medium. The basic equations of thermoelasticity, after being converted into a one-dimensional form, have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach for the field variables in the Laplace transform domain in closed form. The deformation, temperature and pore pressure have been determined for the space time domain by numerical inversion from the Laplace transform domain. Finally the results are analyzed by depicting several graphs for the field variables.
http://jsm.iau-arak.ac.ir/article_520699_3421e738ab5f5c0e8a0db0c27d818d6e.pdf
2016-03-30
175
183
Consolidation
Porous
Isotropic
Thermoelasticity
Quasi-Static
N
Das Gupta
gangulynilanjana@rediffmail.com
1
Department of Mathematics, Jadavpur University, Kolkata, India
LEAD_AUTHOR
N.C
Das
2
Department of Mathematics, Brainware Group of Institutions, Barasat, India
AUTHOR
[1] Nunziato J.W., Cowin S.C., 1979, A nonlinear theory of elastic materials with voids, Archive for Rational Mechanics and Analysis 72: 175-201.
1
[2] Iesan D., 2006, Nonlinear plane strain of elastic materials with voids, Mathematics and Mechanics of solids 11:361-384.
2
[3] Cowin S.C., Nunziato J.W., 1983, Linear elastic materials with voids, Journal of Elasticity 13: 125-147.
3
[4] Iesan D., 1986, A theory of thermoelastic materials with voids, Acta Mechanica 60: 67-89.
4
[5] Dhaliwal R.S., Wang J., 1995, A heat-flux dependent theory of thermoelasticity with voids, Acta Mechanica 110:33-39.
5
[6] Puri P., Cowin S.C., 1985, Plane waves in linear elastic materials with voids, Journal of Elasticity 15:167-183.
6
[7] Ciarletta M., Chirita S., 2006, On some growth-decay results in thermoelasticity of porous media, Journal of Thermal Stresses 29: 905-924.
7
[8] Cicco S.D., Diaco M., 2002, A theory of thermoelastic materials with voids without energy dissipation, Journal of Thermal Stresses 25: 493-503.
8
[9] Chirita S., Scalia A., 2001, On the spatial and temporal behaviour in linear thermoelasticity of potentials with voids, Journal of Thermal Stresses 24: 433- 455.
9
[10] Scalia A., Pompei A., Chirita S., 2004, On the behaviour of steady time harmonic oscillations thermoelastic materials with voids, Journal of Thermal Stresses 27: 209-226.
10
[11] Chirita S., Ciarletta M., 2008, On the structural stability of thermoelastic model of porous media, Mathematical Methods in the Applied Sciences 31:19-34.
11
[12] Giraud A., Rousset G., 1995, Consolidation around a volumic spherical decaying heat source, Journal of Thermal Stresses 18:513-527.
12
[13] Booker J.R., Savvidou C., 1984, Consolidation around a spherical heat source, International Journal of Solids and Structures 20:1079-1090.
13
[14] Sharma J.N., Grover D., 2012, Thermoelastic vibration analysis of Mems/Nems plate resonators with voids, Acta mechanica 223: 167-187.
14
[15] Kumar R., Rani L., 2004, Response of generalized thermoelastic half-space with voids to mechanical and thermal sources, Meccanica 39: 563-584.
15
[16] Kumar R., Devi S., 2011, Deformation in porousthermoelastic material with temperature dependent properties, An International Journal Applied Mathematics and Information Sciences 5:132-147.
16
[17] Lord H.W., Shulman Y., 1967, A generalized dynamic theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15:299-309.
17
[18] Rice J.R., Cleary M.P., 1976, Some basic stress diffusion solutions for fluid saturated elastic porous media with compressible constituents, Reviews of Geophysics and Space Physics 14:227-241.
18
[19] Coussy O., 1991, Mecanique des Milieux Preux, Technip Paris.
19
[20] Biot MA., 1955, Theory of elasticity and consolidation for a porous anisotropic solid, Journal of Applied Physics 26:182-185.
20
[21] Lahiri A., Das N.C., Sarkar S., Das M., 2009, Matrix method of solution of coupled differential equations and its applications in generalized thermoelasticity, Bulletin of Calcutta Mathematical Society 101: 571-590.
21
[22] Zakian V., 1969, Numerical inversion of Laplace transforms, Electronic Letters 5: 120-121.
22
ORIGINAL_ARTICLE
Generalized Differential Quadrature Method for Vibration Analysis of Cantilever Trapezoidal FG Thick Plate
This paper presents a numerical solution for vibration analysis of a cantilever trapezoidal thick plate. The material of the plate is considered to be graded through the thickness from a metal surface to a ceramic one according to a power law function. Kinetic and strain energies are derived based on the Reissner-Mindlin theory for thick plates and using Hamilton's principle, the governing equations and boundary conditions are derived in the Cartesian coordinates. A transformation of coordinates is used to convert the equations and boundary conditions from the original coordinate into a new computational coordinates. Generalized differential quadrature method (GDQM) is selected as a strong method and natural frequencies and corresponding modes are derived. The accuracy and convergence of the proposed solution are confirmed using results presented by other authors. Finally, the effect of the power law index, angles and thickness of the plate on the natural frequencies are investigated.
http://jsm.iau-arak.ac.ir/article_520700_e6448139cd449390018d7014c8f285e1.pdf
2016-03-30
184
203
Generalized differential quadrature method (GDQM)
Vibration analysis
Trapezoidal plate
Functionally graded materials (FGM)
K
Torabi
kvntrb@kashanu.ac.ir
1
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
LEAD_AUTHOR
H
Afshari
2
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
[1] Chopra I., Durvasula S., 1971, Vibration of simply supported trapezoidal plates I. symmetric trapezoids, Journal of Sound and Vibration 19: 379-392.
1
[2] Chopra I., Durvasula S., 1972, Vibration of simply supported trapezoidal plates II. un-symmetric trapezoids, Journal of Sound and Vibration 20: 125-134.
2
[3] Orris R.M., Petyt M., 1973, A finite element study of the vibration of trapezoidal plates, Journal of Sound and Vibration 27: 325-344.
3
[4] Srinivasan R.S., Babu B.J.C., 1983, Free vibration of cantilever quadrilal plates, Journal of the Acoustical Society of America 73: 851-855.
4
[5] Maruyama K., Ichinomiya O., Narita Y., 1983, Experimental study of the free vibration of clamped trapezoidal plates, Journal of Sound and Vibration 88: 523-534.
5
[6] Bert C.W., Malik M., 1996, Differential quadrature method for irregular domains and application to plate vibration, International Journal of Mechanical Sciences 38: 589-606.
6
[7] Xing Y., Liu B., 2009, High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain, International Journal for Numerical Methods in Engineering 80: 1718-1742.
7
[8] Shufrin I., Rabinovitch O., Eisenberger M., 2010, A semi-analytical approach for the geometrically nonlinear analysis of trapezoidal plates, International Journal of Mechanical Sciences 52: 1588-1596.
8
[9] Zhou L., Zheng W.X., 2008, Vibration of skew plates by the MLS-Ritz method, International Journal of Mechanical Sciences 50: 1133-1141.
9
[10] Zamani M., Fallah A., Aghdam M.M., 2012, Free vibration analysis of moderately thick trapezoidal symmetrically laminated plates with various combinations of boundary conditions, European Journal of Mechanics - A/Solids 36: 204-212.
10
[11] Hosseini-Hashemi Sh., Fadaee M., Atashipour S.R., 2011, A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular plates, International Journal of Mechanical Sciences 53: 11-22.
11
[12] Shaban M., Alipour M.M., 2011, Semi-analytical solution for free vibration of thick functionally graded plates rested on elastic foundation with elastically restrained edge, Acta Mechanica Solida Sinica 24: 340-354.
12
[13] Hasani Baferani A., Saidi A.R., Ehteshami H., 2011, Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation, Composite Structure 93: 1842-1853.
13
[14] Zhu P., Liew K.M., 2011, Free vibration analysis of moderately thick functionally graded plates by local Kriging meshless method, Composite Structure 93: 2925-2944.
14
[15] Hosseini-Hashemi Sh., Salehipour H., Atashipour S.R, Sburlati R., 2013, On the exact in-plane and out-of-plane free vibration analysis of thick functionally graded rectangular plates: Explicit 3-D elasticity solutions, Composites Part B 46: 108-115.
15
[16] Jin G., Su Z., Shi Sh., Ye T., Gao S., 2014, Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions, Composite Structure 108: 565-577.
16
[17] Xia P., Long S.Y., Cui H.X., Li G.Y., 2009, The static and free vibration analysis of a nonhomogeneous moderately thick plate using the meshless local radial point interpolation method, Engineering Analysis with Boundary Elements 33: 770-777.
17
[18] Huang M., Ma X.O., Sakiyama T., Matuda M., Morita C., 2005, Free vibration analysis of plates using least-square-based on finite difference method, Journal of Sound and Vibration 288: 931-955.
18
[19] Nguyen-Xuan H., Liu G.R., Thai-Hoang C., 2010, An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Minslin, Computer Methods in Applied Mechanics and Engineering 199: 471-489.
19
[20] Leung A.Y.T., Zhu B., 2005, Transverse vibration of Mindlin Plates on two-parameter foundations by analytical trapezoidal p-elements, Journal of Engineering Mechanics 131: 1140-1145.
20
[21] Huang C.S., Leissa A.W., Chang M.J., 2005, Vibrations of skewed cantilevered triangular, trapezoidal and parallelogram Mindlin plates with considering corner stress singularities, International Journal for Numerical Methods in Engineering 62: 1789-1806.
21
[22] Abrate S., 2006, Free vibration, buckling, and static deflections of functionally graded plates, Composites Science and Technology 66: 2383-2394.
22
[23] Zhao X., Lee Y.Y., Liew K.M., 2009, Free vibration analysis of functionally graded plates using the element-free kp-Ritz method, Journal of Sound and Vibration 319: 918- 939.
23
[24] Eftekhari S.A., Jafari A.A., 2013, Modified mixed Ritz-DQ formulation for free vibration of thick rectangular and skew plates with general boundary conditions, Applied Mathematical Modelling 37: 7398-7426.
24
[25] Petrolito J., 2014, Vibration and stability analysis of thick orthotropic plates using hybrid-Trefftz elements, Applied Mathematical Modelling 38:5858-5869.
25
[26] Mindlin R.D., 1951, Influence of rotary inertia and shear on flexural motions of isotropic elastic plates, Journal of Applied Mechanics 18: 31-38.
26
[27] Liew K.M., Wang C.M., Xiang Y., Kitipornchai S., 1998, Vibration of Mindlin Plates, Elsevier.
27
[28] Kaneko T., 1975, On Timoshenko’s correction for shear in vibrating beams, Journal of Physics D: Applied Physics 8: 1928-1937.
28
[29] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics: A review, Applied Mechanics Reviews 49: 1-28.
29
ORIGINAL_ARTICLE
Steady Thermal Stresses in a Thin Rotating Disc of Finitesimal Deformation with Mechanical Load
Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. It has observed that for rotating disc made of compressible material required higher angular speed to yield at the internal surface as compare to disc made of incompressible material and a much higher angular speed is required to yield with the increase in radii ratio. With the introduction of thermal effects, lesser angular speed is required to yield at the internal surface. Thermal effect in the disc increase the value of circumferential stress at the internal surface and radial stresses at the external surface for compressible as compare to incompressible material.
http://jsm.iau-arak.ac.ir/article_520701_5622819ff9faf68953f9a0c8aa27abe1.pdf
2016-03-30
204
211
Plastic
Transitional
Finitesimal
Stresses
Disc
Load
temperature
J
Kaur
1
Department of Mathematics, Punjabi University Patiala, Punjab 147002, India
AUTHOR
P
Thakur
dr_pankajthakur@yahoo.com
2
Department of Mathematics, IEC University Baddi, Solan, Himachal Pradesh 174103, India
LEAD_AUTHOR
S.B
Singh
3
Department of Mathematics, Punjabi University Patiala, Punjab 147002, India
AUTHOR
[1] Timoshenko S.P., Goodier J.N., 1951, Theory of Elasticity , 3rd Edition, New York, McGraw-Hill Book Coy, London.
1
[2] Chakrabarty J., 1987, Theory of Plasticity, New York, McGraw-Hill Book Coy.
2
[3] Heyman J., 1958, Plastic design of rotating discs, Proceedings of the Institution of Mechanical Engineers 172(1): 531-546.
3
[4] Parmaksigoglu C., Guven U., 1998, Plastic stress distribution in a rotating disc with rigid inclusion under a radial tem perature gradient, Mechanics of Structures and Machines 26 : 9-20.
4
[5] Seth B.R., 1962, Transition theory of elastic-plastic deformation, creep and relaxation, Nature 195:896-897.
5
[6] Seth B.R., 1966, Measure concept in mechanics, International Journal of Non-Linear Mechanics 1(1): 35-40.
6
[7] Parkus H., 1976, Thermo-Elasticity, Springer-Verlag, Wien, New York, USA.
7
[8] Gupta S. K., Thakur P. , 2008, Creep transition in an isotropic disc having variable thickness subjected to internal pressure, Proceedings of the National Academy of Sciences Section A 78(1): 57-66.
8
[9] Gupta S.K., Thakur P. ,2007, Thermo elastic - plastic transition in a thin rotating disc with inclusion, Thermal Science 11(1): 103-118.
9
[10] Gupta S.K., Thakur P.,2007, Creep transition in a thin rotating disc with rigid inclusion, Defence Science Journal 57(2) : 185-195.
10
[11] Thakur P. ,2009, Elastic - plastic transition in a thin rotating disc having variable density with Inclusion, Structural Integrity and Life 9(3):71-179.
11
[12] Thakur P., 2010 , Elastic-plastic transition stresses in a thin rotating disc with rigid inclusion by infinitesimal deformation under steady state Temperature, Thermal Science International Scientific Journal 14(1): 209-219.
12
[13] Thakur P., 2010, Creep transition stresses in a thin rotating disc with shaft by finite deformation under steady state temperature, Thermal Science International Scientific Journal 14(2) : 425-436.
13
[14] Thakur P., 2011, Effect of transition stresses in a disc having variable thickness and Poisson’s ratio subjected to internal pressure, Wseas Transactions on Applied and Theoretical Mechanics 6(4): 147-159.
14
[15] Thakur P., 2012, Deformation in a thin rotating disc having variable thickness and edge load with inclusion at the elastic-plastic transitional stress, Integritet i Vek Konstrukcija 12(1): 65-70.
15
[16] Thakur P., 2013 , Stresses in a thin rotating disc of variable thickness with rigid shaft, International Journal for Technology of Plasticity 37(1): 1-14.
16
[17] Thakur P., Singh S. B., Kaur J., 2013, Steady thermal stresses in a rotating disk with shaft having density variation parameter subjected to thermal load , Structural Integrity and Life 13(2): 109-116.
17
[18] Thakur P., 2013, Analysis of stresses in a thin rotating disc with inclusion and edge loading, Scientific Technical Review 63(3): 9-16.
18
[19] Thakur P., Singh S. B., Kaur J., 2013, Thickness variation parameter in thin rotating disc, FME Transaction 41(2) : 96-102.
19
[20] Thakur P., Singh S. B., Kaur J., 2014, Elastic-plastic transitional stress in a thin rotating disc with shaft having variable thickness under steady state temperature, Kragujevac Journal of Science 36: 5-17.
20
[21] Levitsky M., Shaffer B. W., 1975, Residual thermal stresses in a solid sphere form a thermosetting material, Journal of Applied Mechanics 42 (3): 651-655.
21
ORIGINAL_ARTICLE
Free Vibration Analysis of Continuously Graded Fiber Reinforced Truncated Conical Shell Via Third-Order Shear Deformation Theory
This paper deals with free vibration analysis of continuously graded fiber reinforced (CGFR) truncated conical shell based on third-order shear deformation theory (TSDT), by developing special power-law distributions. The orthotropic (CGFR) truncated conical shell are clamped and simply supported at the both ends. It is assumed to have a smooth variation of fibers volume fraction in the thickness direction. Symmetric and classic volume fraction profiles are examined. The appropriate displacement functions which identically satisfy the axisymmertic conditions are used to simplify the motion equations to a set of coupled ordinary differential equation with variable coefficients, which can be solved by generalized differential quadrature method (GDQM), to obtain the natural frequencies. The fast rate of convergence of the method is observed. To validate the results, comparisons are made with the available solutions for isotropic and CGM isotropic truncated conical shells. The effect of various geometrical parameters on the vibrational behavior of the CGFR truncated conical shell is investigated. This literature mainly contributes to illustrate the impact of the power-law distributions on the vibrarional behavior of orthotropic continuous grading truncated conical shell. This paper is also supposed to present useful results for continuouly graded fibers volume fraction in the thickness direction of a truncated conical shell and comparison with similar discrete laminated composite one.
http://jsm.iau-arak.ac.ir/article_520702_92d9bbc39f3a1902edcc498a7809278c.pdf
2016-03-30
212
231
Continuously graded fiber reinforced
Special power-law distributions
Truncated conical shell
Free vibration
TSDT
M.H
Yas
yas@razi.ac.ir
1
Mechanical Engineering Department, Razi University, Kermanshah, Iran
LEAD_AUTHOR
M
Nejati
2
Mechanical Engineering Department, Razi University, Kermanshah, Iran
AUTHOR
A
Asanjarani
3
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Iran
AUTHOR
[1] Malekzadeh P., 2009, Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations, Composite Structures 89: 367-373.
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[2] Hosseini-Hashemi Sh., Rokni H., Damavandi T., Akhavan H., Omidi M., 2010, Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory, Applied Mathematical Modelling 34: 1276-1291.
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[3] Pan E., Han F., 2005, Exact solution for functionally graded and layered magnetoelectro- elastic plates, International Journal of Engineering Science 43: 321-339.
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[4] Yas M.H., Sobhani Aragh B., 2010, Free vibration analysis of continuously graded fiber reinforced plates on elastic foundation, International Journal of Engineering Science 48: 1881-1895.
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[5] Chen W.Q., 2000, Vibration theory of non-homogeneous, spherically isotropic piezoelastic bodies, Journal of Sound and Vibration 229: 833-860.
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[6] Chiroiu V., Munteanu L., 2007, On the free vibrations of a piezoceramic hollow sphere, Mechanics Research Communications 34: 123-129.
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[7] Bahtui A., Eslami M.R., 2007, Coupled thermoelasticity of functionally graded cylindrical shells, Mechanics Research Communications 34: 1-18.
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[8] Haddadpour H., Mahmoudkhani S., Navazi H.M., 2007, Free vibration analysis of functionally graded cylindrical shells including thermal effects, Thin-Walled Structures 45: 591-599.
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[9] Sobhani Aragh B., Yas M.H., 2010, Static and free vibration analyses of continuously graded ﬁber-reinforced cylindrical shells using generalized power-law distribution, Acta Mechanica 215: 155-173.
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[10] Sobhani Aragh B., Yas M.H., 2010, Three-dimensional analysis of thermal stresses in four-parameter continuous grading ﬁber reinforced cylindrical panels, International Journal of Mechanical Sciences 52: 1047-1063.
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[11] Sobhani Aragh B., Yas M.H., 2010, Three-dimensional free vibration of functionally graded fiber orientation and volume fraction cylindrical panels, Materials & Design 31: 4543-4552.
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[12] Yas M.H., Sobhani Aragh B., 2010, Three-dimensional analysis for thermoelastic response of functionally graded fiber reinforced cylindrical panel, Composite Structures 92: 2391-2399.
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[13] Thambiratnam D., Zhuge Y., 1993, Axisymmetric free vibration analysis of conical shells, Engineering Structures 15(2): 83-89.
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[14] Tong L., 1993, Free vibration of orthotropic conical shells, International Journal of Engineering Science 31(5): 719-733.
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[15] Leissa A., 1993, Vibration of Shells, The Acoustic Society of America.
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[16] Liew K.M., Lim C.W., 1994, Vibratory characteristics of cantilevered rectangular shallow shells of variable thickness, The American Institute of Aeronautics and Astronautics 32(3): 87-96.
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[17] Liew K.M., Lim C.W.. 1994, Vibration of perforated doubly-curved shallow shells with rounded corners, International Journal of Solids and Structures 31(15): 19-36.
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[18] Shu C., 1996, Free vibration analysis of composite laminated conical shells by generalized differential quadrature, Journal of Sound and Vibration 194: 587-604.
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[19] Bardell N.S., Dunsdon J.M., Langley R.S., 1998, Free vibration of thin, isotropic, open, conical panels, Journal of Sound and Vibration 217: 297-320.
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[20] Wang Y., Liu R., Wang X., 1999, Free vibration analysis of truncated conical shells by the Differential Quadrature Method, Journal of Sound and Vibration 224(2): 387-394.
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[21] Sofiyev A.H., 2009, The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure, Composite Structures 89(3): 56-66.
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[22] Liew K.M., Ng T.Y., Zhao X., 2005, Free vibration analysis of conical shells via the element-free kp-Ritz method, Journal of Sound and Vibration 281: 627-645.
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[23] Bhangale R.K., Ganesan N., Padmanabhan C., 2006, Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells, Journal of Sound and Vibration 292: 341-371.
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[24] Tornabene F., 2009, Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution, Computer Methods in Applied Mechanics and Engineering 198: 2911-2935.
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[25] Malekzadeh P., Fiouz A.R., Sobhrouyan M., 2012, Three-dimensional free vibration of functionally graded truncated conical shells subjected to thermal environment, International Journal of Pressure Vessels and Piping 89: 210-221.
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[26] Soﬁyev A.H., 2012, The non-linear vibration of FGM truncated conical shells, Composite Structures 94: 2237-2245.
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[27] Reddy J.N., 1984, A reﬁned nonlinear theory of plates with transverse shear deformation, International Journal of Solids and Structures 20: 881-896.
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[28] Lee Y.S., Lee K.D., 1997,On the dynamic response of laminated circular cylindrical shells under impulse loads, Computers & Structures 63(1): 149-157.
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[29] Khalili S.M.R., Malekzadeh K., Davar A., Mahajan P., 2010, Dynamic response of pre-stressed fibre metal laminate (FML) circular cylindrical shells subjected to lateral pressure pulse loads, Composite Structures 92: 1308-1317.
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[30] Vasiliev V.V., Morozov E.V., 2001, Mechanics and Analysis of Composite Materials, Elsevier Science.
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[31] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics, a review, Journal of Applied Mechanic 49: 1-27.
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[32] Irie T., Yamada G., Tanaka K., 1984, Natural frequencies of truncated conical shells, Journal of Sound and Vibration 92: 447-453.
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