ORIGINAL_ARTICLE
A Computational Wear Model of the Oblique Impact of a Ball on a Flat Plate
Many wearing processes are a result of the oblique impacts. Knowing the effective impact parameters on the wear mechanism would be helpful to have the more reliable designs. The H-DD (Hertz-Di Maio Di Renzo) nonlinear model of impact followed by the time increment procedure is used to simulate the impact process of a ball on a flat plate. Restitution parameters are extracted and compared with the experimental data to ensure the accuracy of the impact model. The constant parameters of a wear equation are determined by comparing the results with the experimental data. The results obtained suggest that this simulation method could be used as a predictive way to study the practical design problems and to explain some phenomena associated with impact erosion.
http://jsm.iau-arak.ac.ir/article_514542_634dc2d99d649f6258716c308d4988ba.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
107
115
Contact
Impact wear
Wear modeling
Steel
Indentation
M
Akhondizadeh
m.akhondizadeh@gmail.com
true
1
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
LEAD_AUTHOR
M
Fooladi Mahani
true
2
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
AUTHOR
S.H
Mansouri
true
3
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
AUTHOR
M
Rezaeizadeh
true
4
Graduate University of Advanced Technology ,Kerman
Graduate University of Advanced Technology ,Kerman
Graduate University of Advanced Technology ,Kerman
AUTHOR
[1] Bayer R. G., Engel P. A., Sirico J. L., 1971, Impact wear testing machine, Wear 24:343-354.
1
[2] Engel P. A., Lyons T. H., Sirico J. L., 1973, Impact wear for steel specimens, Wear 23:185-201.
2
[3] Engel P. A., Millis D.B., 1982, Study of surface topology in impact wear, Wear 75:423-442.
3
[4] Goryacheva I.G., Contact Mechanics in Tribology, Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia, Kluwer Academic Publishers.
4
[5] Mindlin R. D., Deresiewicz H., 1953, Elastic spheres in contact under varying oblique forces, Applied Mechanics 16:259-268.
5
[6] Maw N., 1975, The oblique impact of elastic spheres, Wear 25: 101-114.
6
[7] Gorham D. A., Kharaz A. H., 2000, The measurement of particle rebound characteristics, Powder Technology 112:193-202.
7
[8] Kharaz A.H., Gorham D.A., Salman A.D., 2001, An experimental study of the elastic rebound of spheres, Powder Technology 120(3):281-291.
8
[9] Levy A., 1993, The erosion–corrosion of tubing steels in combustion boiler environments, Corrosion Science 35:1035-1056.
9
[10] Bellman R., Levy A., 1981, Erosion mechanism in ductile metals, Wear 70(1): 1-27.
10
[11] Lindsley B.A., Marder A.R., 1999, The effect of velocity on the solid particle erosion rate of alloys, Wear 225–229: 510-516.
11
[12] Head W.J., Harr M.E., 1970, The development of a model to predict the erosion of materials by natural contaminants, Wear 15: 1-46.
12
[13] Xie Y., Clark H.McI., Hawthorne H.M., 1999, Modelling slurry particle dynamics in the Coriolis erosion tester, Wear 225–229: 405-416.
13
[14] Talia M., Lankarani H., Talia J.E., 1999, New experimental technique for the study and analysis of solid particle erosion mechanisms, Wear 225–229 (2):1070-1077.
14
[15] Di Maio F. P., Di Renzo A., 2005, Modeling particle contacts in distinct element simulations, Chemical Engineering Research and Design 83:1287-1297.
15
[16] Chuan-yu W., Long-yuan L., Colin T., 2003, Rebound behaviour of spheres for plastic impacts, International Journal of Impact Engineering 28: 929-946.
16
[17] Lewis A.D., Rogers R. J., 1988, Experimental and numerical study of forces during oblique impact, Journal of Sound and 125(3): 403-412.
17
[18] Mesarovic SDJ., Johnson KL., 2000, Adhesive contact of elastic–plastic spheres, Journal of Mechanical Physic Solids 24: 127-138
18
[19] Ashrafizadeh H., Ashrafizadeh F., 2012, A numerical 3D simulation for prediction of wear caused by solid particle impact, Wear 276-277: 75-84.
19
20
ORIGINAL_ARTICLE
Levy Type Solution for Nonlocal Thermo-Mechanical Vibration of Orthotropic Mono-Layer Graphene Sheet Embedded in an Elastic Medium
In this paper, the effect of the temperature change on the vibration frequency of mono-layer graphene sheet embedded in an elastic medium is studied. Using the nonlocal elasticity theory, the governing equations are derived for single-layered graphene sheets. Using Levy and Navier solutions, analytical frequency equations for single-layered graphene sheets are obtained. Using Levy solution, the frequency equation and mode shapes orthotropic rectangular nanoplate are considered for three cases of boundary conditions. The obtained results are subsequently compared with valid result reported in the literature. The effects of the small scale, temperature change, different boundary conditions, Winkler and Pasternak foundations, material properties and aspect ratios on natural frequencies are investigated. It has been shown that the non-dimensional frequency decreases with increasing temperature change. It is seen from the figure that the influence of nonlocal effect increases with decreasing of the length of nanoplate and also all results at higher length converge to the local frequency. The present analysis results can be used for the design of the next generation of nanodevices that make use of the thermal vibration proper ties of the nanoplates.
http://jsm.iau-arak.ac.ir/article_514544_042ba549d411678ff6d4a1c27993d17c.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
116
132
Thermo-mechanical vibration
Orthotropic single-layered graphene sheets
Elastic medium
Analytical Modeling
M
Mohammadi
m.mohamadi@me.iut.ac.ir
true
1
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch, Islamic Azad University
LEAD_AUTHOR
A
Farajpour
true
2
Young Researches and Elites Club, North Tehran Branch, Islamic Azad University
Young Researches and Elites Club, North Tehran Branch, Islamic Azad University
Young Researches and Elites Club, North Tehran Branch, Islamic Azad University
AUTHOR
M
Goodarzi
true
3
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch, Islamic Azad University
AUTHOR
R
Heydarshenas
true
4
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch, Islamic Azad University
AUTHOR
[1] Wong E.W., Sheehan P.E., Lieber C.M., 1997, Nanobeam mechanics: elasticity, strength and toughness of nanorods and nanotubes, Science 277: 1971–1975.
1
[2] Sorop T.G., Jongh L.J., 2007, Size-dependent anisotropic diamagnetic screening in superconducting nanowires, Physical Review B 75: 014510-014515.
2
[3] Iijima S., 1991, Helical microtubules of graphitic carbon, Nature 354: 56–58.
3
[4] Kong X.Y, Ding Y, Yang R, Wang Z.L., 2004, Single-Crystal Nanorings Formed by Epitaxial Self-Coiling of Polar Nanobelts, Science 303: 1348-1351.
4
[5] Zhou S.J., Li Z.Q., 2001, Metabolic response of Platynota stultanapupae during and after extended exposure to elevated CO2 and reduced O2 atmospheres, Shandong University Technology 31: 401-409.
5
[6] Fleck N.A., Hutchinson J.W., 1997, Strain gradient plasticity, Applied Mechanics 33: 295–361.
6
[7] Yang F., Chong A.C.M., Lam D.C.C., Tong P., 2002, Couple stress based strain gradient theory for elasticity, International Journal of Solids Structure 39: 2731-2743.
7
[8] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703-4711.
8
[9] Danesh M., Farajpour A., Mohammadi M., 2012, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 39 (1): 23-27.
9
[10] Farajpour A., Mohammadi M., Shahidi A.R., Mahzoon M., 2011, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E:Low-Dimensional Systems and Nanostructures 43 (10): 1820-1825.
10
[11] Farajpour A., Shahidi A.R., Mohammadi M., Mahzoon M., 2012, Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics, Composite Structures 94 (5): 1605-1615.
11
[12] Farajpour A., Danesh M., Mohammadi M., 2011, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E: Low-Dimensional Systems and Nanostructures 44(3): 719-727.
12
[13] Moosavi H., Mohammadi M., Farajpour A., Shahidi S. H., 2011, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E: Low-Dimensional Systems and Nanostructures 44(1): 135-140.
13
[14] Mohammadi M., Ghayour M., Farajpour A., 2013, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites Part B: Engineering 45(1): 32-42.
14
[15] Mohammadi M., Goodarzi M., Ghayour M., Farajpour A., 2013, Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites Part B: Engineering 51: 121-129.
15
[16] Mohammadi M., Goodarzi M., Ghayour M., Alivand S., 2012, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics 4(2): 128-143.
16
[17] Mohammadi M., Farajpour A., Moradi A., Ghayour M., 2014, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites Part B: Engineering 56: 629-637.
17
[18] 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(3): 437-458.
18
[19] Mohammadi M., Farajpour A., Goodarzi M., Dinari F., 2014, Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures 11(4): 659-683.
19
[20] Mohammadi M., Farajpour A., Goodarzi M., Shehni nezhad pour H., 2014, Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Material Science 52: 510-520.
20
[21] Mohammadi M., Ghayour M., Farajpour A., 2011, Analysis of free vibration sector plate based on elastic medium by using new version differential quadrature method, Journal of Solid Mechanics in Engineering 3(2): 47-56.
21
[22] Wang C.M., Duan W.H., 2008, Free vibration of nanorings/arches based on nonlocal elasticity, Journal of Applied Physics 104(1): 014303.
22
[23] Reddy J.N., Pang S.D., 2008, Nonlocal continuum theories of beams for the analysis of carbon nanotubes,Journal of Applied Physics 103(2): 023511.
23
[24] Murmu T., Pradhan S. C., 2009, Buckling analysis of single-walled carbon nanotubes embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM, Physica E 41: 1232-1239.
24
[25] Wang L., 2009, Dynamical behaviors of double-walled carbon nanotubes conveying fluid accounting for the role of small length scale, Computational Material Science 45: 584-588.
25
[26] Xiaohu Y., Qiang H., 2007, Investigation of axially compressed buckling of a multi-walled carbon nanotube under temperature field, Composite Science Technology 67: 125-134.
26
[27] Sudak L.J., 2003, Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics, Journal of Applied Physics 94(11): 7281-7287.
27
[28] Murmu T., Pradhan S. C., 2009, Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory, Journal of Applied Physics 105(6): 064319.
28
[29] Pradhan S.C., Phadikar J.K., 2009, Small scale effect on vibration of embedded multi layered graphene sheets based on nonlocal continuum models, Physics Letters A 373: 1062–1069.
29
[30] Wang Y. Z., Li F. M., Kishimoto K., 2011, Thermal effects on vibration properties of doublelayered nanoplates at small scales, Composites Part B: Engineering 42:1311–1317.
30
[31] Reddy C.D., Rajendran S., Liew K.M., 2006, Equilibrium configuration and continuum elastic properties of finite sized graphene, Nanotechnology 17: 864–870.
31
[32] Malekzadeh P., Setoodeh A.R., Alibeygi Beni A., 2011, Small scale effect on the thermal buckling of orthotropic arbitrary straight-sided quadrilateral nanoplates embedded in an elastic medium, Composite Structure 93: 2083–2089.
32
[33] Aksencer T., Aydogdu M., 2011, Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory, Physica E 43 954 –959.
33
[34] Satish N., Narendar S., Gopalakrishnan S., 2012, Thermal vibration analysis of orthotropic nanoplates based on nonlocal continuum mechanics, Physica E 44:1950 –1962.
34
[35] Prasanna Kumar T.J., Narendar S., Gopalakrishnan S., 2013, Thermal vibration analysis of monolayer graphene embedded in elastic medium based on nonlocal continuum mechanics, Composite Structures 100 :332–342.
35
[36] Chen Y., Lee J.D., Eskandarian A., 2004, Atomistic viewpoint of the applicability of microcontinuum theories, International Journal of Solids Structures 41:2085-2097.
36
[37] Sakhaee-Pour A., Ahmadian M.T., Naghdabadi R., 2008, Vibrational analysis of single layered graphene sheets, Nanotechnology 19: 957–964.
37
[38] Pradhan S.C., Kumar A., 2010, Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method, Computational Material Science 50:239-245.
38
[39] Liew K. M., He X. Q., Kitipornchai S., 2006, Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrix, Acta Material 54: 4229-4236.
39
[40] Zhang Y.Q., Liu X., Liu G.R., 2007, Thermal effect on transverse vibrations of double walled carbon nanotubes, Nanotechnology 18(44):445701.
40
[41] Benzair A., Tounsi A., Besseghier A., Heireche H., Moulay N., Boumia L., 2008, The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory, Journal of Applied Physics 41(22):225404.
41
[42] Lee H.L., Chang W.J., 2009, A closed-form solution for critical buckling temperature of a single-walled carbon nanotube, Physica E 41:1492–1494.
42
[43] Pradhan S. C., Kumar A., 2011, Vibration analysis of orthotropic graphene sheets using nonlocal theory and differential quadrature method, Composite Structure 93: 774-779.
43
44
ORIGINAL_ARTICLE
Rheological Response and Validity of Viscoelastic Model Through Propagation of Harmonic Wave in Non-Homogeneous Viscoelastic Rods
This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest. In this study, it is assumed that density, rigidity and viscosity of the specimen i.e. rod are space dependent. The method of non-linear partial differential equation (Eikonal equation) has been used for finding the dispersion equation of harmonic waves in the rods. A method for treating reflection at the free end of the finite non-homogeneous viscoelastic rod is also presented. All the cases taken in this study are discussed numerically and graphically with MATLAB.
http://jsm.iau-arak.ac.ir/article_514545_37c8591734326c7b096cf5289eca4503.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
133
151
Harmonic waves
Viscoelastic media
Friedlander series
Inhomogeneous
Varying density
R
Kakar
rkakar_163@rediffmail.com
true
1
Principal, DIPS Polytechnic College, Hoshiarpur
Principal, DIPS Polytechnic College, Hoshiarpur
Principal, DIPS Polytechnic College, Hoshiarpur
LEAD_AUTHOR
K
Kaur
true
2
Faculty of Applied Sciences, BMSCE, Muktsar-152026, India
Faculty of Applied Sciences, BMSCE, Muktsar-152026, India
Faculty of Applied Sciences, BMSCE, Muktsar-152026, India
AUTHOR
[1] Alfrey T., 1944, Non-homogeneous stress in viscoelastic media, Quarterly of Applied Mathematics 2: 113-119.
1
[2] Barberan J., Herrera J., 1966, Uniqueness theorems and speed of propagation of signals in viscoelastic materials, Archive for Rational Mechanics and Analysis 23(3): 173-190.
2
[3] Achenbach J.D., Reddy D. P., 1967, Note on the wave-propagation in linear viscoelastic media, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 18(1):141-144.
3
[4] Bhattacharya S., Sengupta P.R., 1978, Disturbances in a general viscoelastic medium due to impulsive forces on a spherical cavity, Gerlands Beitr Geophysik Leipzig 87(8): 57-62.
4
[5] Acharya D. P., Roy I., Biswas P. K., 2008, Vibration of an infinite inhomogeneous transversely isotropic viscoelastic medium with a cylindrical hole, Applied Mathematics and Mechanics 29(3): 1-12.
5
[6] Bert C. W., Egle D. M., 1969, Wave propagation in a finite length bar with variable area of cross-section, Journal of Applied Mechanics 36: 908-909.
6
[7] Biot M.A., 1940, Influence of initial stress on elastic waves, Journal of Applied Physics 11(8):522-530.
7
[8] Batra R. C., 1998, Linear constitutive relations in isotropic finite elasticity, Journal of Elasticity 51: 243-245.
8
[9] White J.E., Tongtaow C., 1981, Cylindrical waves in transversely isotropic media, The Journal of the Acoustical Society of America 70(4):1147-1155.
9
[10] Mirsky I., 1965, Wave propagation in transversely isotropic circular cylinders, part I: Theory, Part II: Numerical results, The Journal of the Acoustical Society of America 37:1016-1026.
10
[11] Tsai Y.M., 1991, Longitudinal motion of a thick transversely isotropic hollow cylinder, Journal of Pressure Vessel Technology 113:585-589.
11
[12] Murayama S., Shibata T., 1961, Rheological properties of clays, 5th International Conference of Soil Mechanics and Foundation Engineering, Paris, France 1:269 – 273.
12
[13] Schiffman R.L., Ladd C.C., Chen A.T.F., 1964, The secondary consolidation of clay, rheology and soil mechanics, Proceedings of the International Union of Theoretical and Applied Mechanics Symposium, Grenoble, Berlin 273 – 303.
13
[14] Gurdarshan S., Avtar S., 1980, Propagation, reflection and transmission of longitudinal waves in non-homogeneous five parameter viscoelastic rods, Indian Journal of Pure and Applied Mathematics 11(9): 1249-1257.
14
[15] Kakar R., Kaur K., Gupta K.C., 2012, Analysis of five-parameter viscoelastic model under dynamic loading, Journal of Solid Mechanics 4(4): 426-440.
15
[16] Kaur K., Kakar R., Gupta K.C., 2012, A dynamic non-linear viscoelastic model, International Journal of Engineering Science and Technology 4(12): 4780-4787.
16
[17] Kakar R., Kaur K., 2013, Mathematical analysis of five parameter model on the propagation of cylindrical shear waves in non-homogeneous viscoelastic media, International Journal of Physical and Mathematical Sciences 4(1): 45-52.
17
[18] Kaur K., Kakar R., Kakar S., Gupta K.C., 2013, Applicability of four parameter viscoelastic model for longitudinal wave propagation in non-homogeneous rods, International Journal of Engineering Science and Technology 5(1): 75-90.
18
[19] Friedlander F.G., 1947, Simple progressive solutions of the wave equation, Mathematical Proceedings of the Cambridge Philosophical Society 43: 360-73.
19
[20] Karl F. C., Keller J. B., 1959, Elastic waves propagation in homogeneous and inhomogeneous media, Journal of Acoustical Society America 31: 694-705.
20
[21] Moodie T.B., 1973, On the propagation, reflection and transmission of transient cylindrical shear waves in non-homogeneous four-parameter viscoelastic media, Bulletin of the Australian Mathematical Society 8: 397-411.
21
[22] Carslaw H. S., Jaeger, J. C., 1963, Operational Methods in Applied Math, Second Ed., Dover Pub, New York.
22
[23] Bland D. R., 1960, Theory of Linear Viscoelasticity, Pergamon Press, Oxford.
23
[24] Christensen R. M., 1971, Theory of Viscoelasticity, Academic Press.
24
25
ORIGINAL_ARTICLE
Dynamics of a Running Below-Knee Prosthesis Compared to Those of a Normal Subject
The normal human running has been simulated by two-dimensional biped model with 7 segments. Series of normal running experiments were performed and data of ground reaction forces measured by force plate was analyzed and was fitted to some Fourier series. The model is capable to simulate running for different ages and weights at different running speeds. A proportional derivative control algorithm was employed to grant stabilization during each running step. For calculation of control algorithm coefficients, an optimization method was used which minimized cinematic differences between normal running model and that of the experimentally obtained from running cycle data. This yielded the estimated torque coefficients of the different joints. The estimated torques and the torque coefficients were then applied to specific below-knee prosthesis (a SACH foot) to simulate healthy-running motion of joints. Presently the SACH foot is designed for amputee’s walking; our data was used to modify such construct for running purposes. The goal was to minimize the differences between normal human model and a subject wearing a SACH foot during running. Kinematical curves of models for the obtained optimum mechanical properties indicated that prosthetic leg can reasonably produce the kinematics of normal running under normal joint driving torques.
http://jsm.iau-arak.ac.ir/article_514547_a2b8188b9c96576c011e9db1a5e8f6a3.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
152
160
Dynamic simulation
Human running
Below-knee prosthesis
Mathematical Modeling
Passive controller
Optimization
SACH Foot
A
Ebrahimi Mamaghani
true
1
Mechanical Engineering, Tarbiat Modares University, Tehran
Mechanical Engineering, Tarbiat Modares University, Tehran
Mechanical Engineering, Tarbiat Modares University, Tehran
AUTHOR
H
Zohoor
zohoor@sharif.ir
true
2
Sharif University of Technology, Tehran
Sharif University of Technology, Tehran
Sharif University of Technology, Tehran
LEAD_AUTHOR
K
Firoozbakhsh
true
3
Biomechanics, Mechanical Engineering Sharif University
Biomechanics, Mechanical Engineering Sharif University
Biomechanics, Mechanical Engineering Sharif University
AUTHOR
R
Hosseini
true
4
Mechanical Engineering Department, University of Tehran
Mechanical Engineering Department, University of Tehran
Mechanical Engineering Department, University of Tehran
AUTHOR
[1] Stein J. L., Flowers W. C., 1987, Stance phase control of above-knee prostheses: knee control versus SACH Foot design, Journal of Biomechanics 20(1):19-28.
1
[2] Blumentritt S., Werner S. H., Michael J., Schmalz T., 1998, Transfemoral amputees walking on a rotary hydraulic prosthetic knee mechanism: a preliminary report, American Academy of Orthotists & Prosthetists10(3): 61-70.
2
[3] Sutherland J. L., Sutherland D. H., Kaufman K., Teel M., 1997, Case study forum: gait comparison of two prosthetic knee units, American Academy of Orthotists & Prosthetists 9(4): 168 -173.
3
[4] Pejhan S., Farahmand F., Parnianpour M., 2008, Design optimization of an above-knee prosthesis based on the kinematics of gait, Proceedings of the 30th Annual International Conference of the IEEE EMBS, Vancouver, British Columbia, Canada.
4
[5] Peasgood M.E., 2007, Stabilization of a dynamic walking gait simulation, Journal of Computational and Nonlinear Dynamics 2(1):65-72.
5
[6] Tsai C.S., Mansour J.M., 1986, Swing phase simulation and design of above-knee prostheses, Journal of Biomechanical Engineering, 108(1): 65-72.
6
[7] Dundass C., Yao G.Z., Mechefske C.K., 2003, Initial biomechanical analysis and modeling of transfemoral amputee gait, American Academy of Orthotists & Prosthetists 15(1): 20-26.
7
[8] Gard S.A, Childress D.S., Ullendahl J.E., 1996, The influence of four-bar linkage knees on prosthetic swing-phase floor clearance, American Academy of Orthotists & Prosthetists 8(2), 34 -40.
8
[9] Wojtyra M., 2000, Dynamical analysis of human walking, 15th European ADAMS Users Conference, University Technology, Warsaw.
9
[10] Iidaa F., Rummel J., Seyfarth A., 2008, Bipedal walking and running with spring-like biarticular muscles, Journal of Biomechanical 41(3):656-667.
10
[11] Peter S., Grimmer S., Lipfert W., 2009, Variable joint elasticities in running, Informatik Aktuell, Autonome Mobile Systeme 2009:29-136.
11
[12] Gerrit S., Mombaur K., Knöthig J., 2010 , Modeling and optimal control of human-like running, IEEE/ASME Transactions on Mechatronics 15(5).
12
[13] Akbari M., Farahmand F., Zohoor H., 2008, Dynamic simulation of the biped normal and amputee human gait, 12th International Conference on Climbing and and Walking Robots and the Support Technologies for Mobile Machines, Istanbul, Turkey.
13
14
ORIGINAL_ARTICLE
Frequency Analysis of FG Sandwich Rectangular Plates with a Four-Parameter Power-Law Distribution
An accurate solution procedure based on the three-dimensional elasticity theory for the free vibration analysis of Functionally Graded Sandwich (FGS) plates is presented. Since no assumptions on stresses and displacements have been employed, it can be applied to the free vibration analysis of plates with arbitrary thickness. The two-constituent FGS plate consists of ceramic and metal graded through the thickness, from one surface of the each sheet to the other according to a generalized power-law distribution with four parameters. The benefit of using generalized power-law distribution is to illustrate and present useful results arising from symmetric, asymmetric and classic profiles. Using the Generalized Differential Quadrature (GDQ) method through the thickness of the plate, further allows one to deal with FG plates with an arbitrary thickness distribution of material properties. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. The effects of different geometrical parameters such as the thickness-to-length ratio, different profiles of materials volume fraction and four parameters of power-law distribution on the vibration characteristics of the FGS plates are investigated. Interesting result shows that by utilizing a suitable four-parameter model for materials volume fraction, frequency parameter can be obtained more than the frequency parameter of the similar FGS plate with sheets made of 100% ceramic and at the same time lighter. Also, results show that frequencies of symmetric and classic profiles are smaller and larger than that of other types of FGS plates respectively. The solution can be used as benchmark for other numerical methods and also the refined plate theories.
http://jsm.iau-arak.ac.ir/article_514548_d954574eb6b8869302d77c52530e6fd5.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
161
173
Elasticity solution
Sandwich plate
Functionally Graded Materials
Generalized power-law distribution
GDQ Method
S
Kamarian
true
1
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University
AUTHOR
M.H
Yas
yas@razi.ac.ir
true
2
Department of Mechanical Engineering, Razi University, Kermanshah
Department of Mechanical Engineering, Razi University, Kermanshah
Department of Mechanical Engineering, Razi University, Kermanshah
LEAD_AUTHOR
A
Pourasghar
true
3
Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University
Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University
Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University
AUTHOR
[1] Tornabene F., Viola E., 2009, Free vibration analysis of four-parameter functionally graded parabolic panels and shells of revolution, European Journal of Mechanics - A/Solids 28:991-1013.
1
[2] Sobhani 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.
2
[3] Sobhani 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.
3
[4] Pourasghar A., Yas M.H., Kamarian S., 2013, Local aggregation effect of CNT on the vibrational behavior of four-parameter continuous grading nanotube reinforced cylindrical panels, Polymer Composites 34(5):707-721.
4
[5] Malekzadeh P., 2008, Three-dimensional free vibrations analysis of thick functionally graded plates on elastic foundations, Composite Structures 89(3):367-373.
5
[6] Yas M.H., Sobhani B., 2010, Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation, International Journal of Engineering Science 48:1881-1895.
6
[7] Matsunaga H., 2008, Free vibration and stability of functionally graded plates according to a 2D higher-order deformation theory, Composite Structures 82:499-512.
7
[8] Li Q, Iu VP, Kou KP, 2008, Three-dimensional vibration analysis of functionally graded material sandwich plates, The Journal of Sound and Vibration 311(1–2):498–515.
8
[9] Zenkour AM., 2005, A comprehensive analysis of functionally graded sandwich plates: Part1- deflection and stresses. International Journal of Solids and Structures 42:5224–5242.
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[10] Zenkour AM., 2005, A comprehensive analysis of functionally graded sandwich plates: Part2- buckling and free vibration deflection and stresses, International Journal of Solids and Structures 42:5243–5258.
10
[11] Khalili S.M.R., Mohammadi Y., 2012, Free vibration analysis of sandwich plates with functionally graded face sheets and temperature dependent material properties: A new approach, European Journal of Mechanics - A/Solids 35:61–74.
11
[12] Natarajan S., Manickam G., 2012, Bending and vibration of functionally graded material sandwich plates using an accurate theory, Finite Elements in Analysis and Design 57:32–42.
12
[13] Neves A.M.A., Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Jorge R.M.N., Soares C.M.M., 2013, Static free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique, Composites Part B: Engineering 44(1):657–674.
13
[14] Sobhy M., 2012, Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions, Composite Structures 99:76-87.
14
[15] Song X., Gui-wen K., Ming-sui Y., Yan Z., 2013, Natural frequencies of sandwich plate with functionally graded face and homogeneous core, Composite Structures 96:226–231.
15
[16] Bellman R, Kashef B.G., Casti J., 1972, Differential Quadrature: a technique for a rapid solution of non linear partial differential equations, Journal of Computational Physics 10:40–52.
16
[17] Shu C., 2000, Differential Quadrature and Its Application in Engineering, Berlin, Springer.
17
[18] Kamarian S., Yas M.H., Pourasghar A., 2012, Free Vibrations of Continuous Grading Fiber Orientation Beams on Variable Elastic Foundations, Journal of Solid Mechanic 4(1): 75-83.
18
[19] Bert CW., Malik M., 1996, Differential quadrature method in computational mechanics, a review, Applied Mechanics Reviews 49:1-28.
19
[20] Yas M. H., Kamarian S., Eskandari J., Pourasghar A., 2011, Optimization of functionally graded beams resting on elastic foundations, Journal of Solid Mechanic 3(4):365-378.
20
[21] Yas M.H., Kamarian S., Pourasghar A.,2012, Application of imperialist competitive algorithm a and neural networks to optimize the volume fraction of three-parameter functionally graded beams, Journal of Experimental & Theoretical Artificial Intelligence , doi:10.1080/0952813X.2013.782346.
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22
ORIGINAL_ARTICLE
Design and Dynamic Modeling of Planar Parallel Micro-Positioning Platform Mechanism with Flexible Links Based on Euler Bernoulli Beam Theory
This paper presents the dynamic modeling and design of micro motion compliant parallel mechanism with flexible intermediate links and rigid moving platform. Modeling of mechanism is described with closed kinematic loops and the dynamic equations are derived using Lagrange multipliers and Kane’s methods. Euler-Bernoulli beam theory is considered for modeling the intermediate flexible link. Based on the Assumed Mode Method theory, the governing differential equations of motion are derived and solved using both Runge-Kutta-Fehlberg4, 5th and Perturbation methods. The mode shapes and natural frequencies are calculated under clamped-clamped boundary conditions. Comparing perturbation method with Runge-Kutta-Fehlberg4, 5th leads to same results. The mode frequency and the effects of geometry of flexure hinges on intermediate links vibration are investigated and the mode frequency, calculated using Fast Fourier Transform and the results are discussed.
http://jsm.iau-arak.ac.ir/article_514551_114415cce30c3be10e9276e65f912ca6.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
174
192
Compliant mechanism
Flexible link
Kane’s method
Micro positioning
Lagrange multipliers
N.S
Viliani
navid.viliani@gmail.com
true
1
Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University
Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University
Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University
LEAD_AUTHOR
H
Zohoor
zohoor@sharif.ir
true
2
Center of Excellence in Design, Robotics, and Automation, Sharif University of Technology; Fellow, The Academy of Sciences of Iran,
Center of Excellence in Design, Robotics, and Automation, Sharif University of Technology; Fellow, The Academy of Sciences of Iran,
Center of Excellence in Design, Robotics, and Automation, Sharif University of Technology; Fellow, The Academy of Sciences of Iran,
AUTHOR
M.H
Kargarnovin
true
3
School of Mechanical Engineering, Sharif University of Technology
School of Mechanical Engineering, Sharif University of Technology
School of Mechanical Engineering, Sharif University of Technology
AUTHOR
[1] Lobontiu N., 2003, Compliant Mechanisms Design of Flexure Hinges, CRC Press, Florida.
1
[2] Yi B.J., Chung G.B., Na H.Y., Kim W.K., Suh I.H., 2003, Design and experiment of a 3-DOF parallel micromechanism utilizing flexure hinges, IEEE Transactions on Robotics and Automation 19: 604-612.
2
[3] Yong Y.K., Fu L.T., 2009, Kinetostatic modeling of a 3-RRR compliant micro-motion stages with flexure hinges, Mechanism and Machine Theory 44: 1156-1175.
3
[4] Yong Y.K., Fu L.T., 2008, The effect of the accuracies of ﬂexure hinge equations on the output compliances of planar micro-motion stages, Mechanism and Machine Theory 43: 347-363.
4
[5] Yong Y.K., Fu L.T., 2009, Comparison of circular ﬂexure hinge design equations and the derivation of empirical stiffness formulations, IEEE/ASME International Conference on Advanced Intelligent Mechatronics Suntec Convention and Exhibition Center, doi:10.1109/AIM.2009.5229961.
5
[6] Paros J.M., Weisbord L., 1965, How to design flexure hinges, Machine Design 37: 151-156.
6
[7] Anathasuresh G.K., Kota S., 1995, Designing compliant mechanisms, ASME Mechanical Engineering117: 93-96.
7
[8] Murphy M.D., Midha A., Howell L.L., 1996, The topological synthesis of compliant mechanisms, Mechanism and Machine Theory 31: 185-199.
8
[9] Tokin, 1996, Multilayer Piezoelectric Actuators, User’s Manual, Tokin Corporate Publisher.
9
[10] Saggere L., Kota S., 1997, Synthesis of distributed compliant mechanisms for adaptive structures application: an elasto-kinematic approach, Proceedings of the DETC 1997, ASME Design Engineering Technical Conferences, Sacramento, CA.
10
[11] Kota S., Joo J., Li Z., Rodgers S.M., Sniegowski J., 2001, Design of compliant mechanisms: applications to MEMS, Analog Integrated Circuits and Signal Processing-An international journal 29: 7-15.
11
[12] Rong Y.,Zhu Y., Luo Z., Xiangxi L., 1994, Design and analysis of flexure hinge mechanism used in micro-positioning stages, ASME proceeding of the 1994 international Mechanical Engineering Congress and Exposition 68: 979-985.
12
[13] Her I., Cheng J.C., 1994, A linear scheme for the displacement analysis of micro positioning stages with flexure hinges, ASME Journal of Mechanical Design 116: 770-776.
13
[14] Trindade M.A., Sampaio R., 2002, Dynamics of beams undergoing large rotations accounting for arbitrary axial deformation, AIAA journal of Guidance, Control and dynamics 25: 634-643.
14
[15] Yong Y.K., Lu T.F., Handley D.C., 2008, Review of circular ﬂexure hinge design equations and derivation of empirical formulations, Precision Engineering 32: 63–70.
15
[16] Lobontiu N., Paine J.S.N., Garcia E., Goldfarb M., 2001, Corner-filleted flexure hinges, Transactions of the ASME, Journal of Mechanical Design 123: 346-352.
16
[17] Shim J., Song S.K., Kwon D.S., Cho H.S., 1997, Kinematic feature analysis of a 6-degree of freedom in-parallel manipulator for micro-positioning surgical, Proceedings of 1997 IEEE/RSJ International Conference on Intelligent Robots and Systems 3:1617-1623.
17
[18] Ryu J.W., Gweon D., Moon K.S., 1997, Optimal design of a flexure hinge based xyθ wafer stage, Precision Engineering 21: 18-28.
18
[19] Meirovitch L., 2001, Fundamentals of Vibrations, MC Grow Hill, New York.
19
[20] Yu H.Y., Bi S., Zong G., Zhao W., 2004, Kinematics feature analysis of a 3 DOF compliant mechanism for micro manipulation, Chinese Journal of Mechanical Engineering 17: 127-131.
20
[21] Choi K.B., Kim D.H., 2006, Monolithic parallel linear compliant mechanism for two axes ultraprecision linear motion, Review of Scientific Instruments 77(6): 065106.
21
[22] Tian Y., Shirinzadeh B., Zhang D., Zhong Y., 2010, Three ﬂexure hinges for compliant mechanism designs based on dimensionless graph analysis, Precision Engineering 34: 92–100.
22
[23] Baruh H., 1999, Analytical Dynamics, McGraw-Hill.
23
[24] Dwivedy S.K., Wberhard P., 2006, Dynamic analysis of flexible manipulators, a literature review, Mechanism and Machine Theory 41: 749-777.
24
[25] Nayfeh A.H., 1981, Introduction to Perturbation Techniques, John Wiley & Sons, Inc.
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[26] Benosman M., Vey G.L., 2004, Control of flexible manipulators: a survey, Robotica 22: 533-545.
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[27] Lee J.D., Geng Z., 1993, Dynamic model of a flexible Stewart platform, Computers and Structures 48: 367-374.
27
[28] Zhou Z., Xi J., Mechefske C.K., 2006, Modeling of a fully flexible 3PRS manipulator for vibration analysis, Journal of Mechanical Design 128: 403-412.
28
[29] Piras G., Cleghorn W.L., Mills J.K., 2005, Dynamic finite-element analysis of planar high speed, high-precision parallel manipulator with flexible links, Mechanism and Machine Theory 40: 849-862.
29
[30] Wang X., Mills J.K., 2005, FEM dynamic model for active vibration control of flexible linkages and its application to a planar parallel manipulator, Journal of Applied Acoustics 66: 1151-1161.
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31
ORIGINAL_ARTICLE
2D-Magnetic Field and Biaxiall In-Plane Pre-Load Effects on the Vibration of Double Bonded Orthotropic Graphene Sheets
In this study, thermo-nonlocal vibration of double bonded graphene sheet (DBGS) subjected to 2D-magnetic field under biaxial in-plane pre-load are presented. The elastic forces between layers of graphene sheet (GS) are taken into account by Pasternak foundation and the classical plate theory (CLPT) and continuum orthotropic elastic plate are used. The nonlocal theory of Eringen and Maxwell’s relations are employed to incorporate the small-scale effect and magnetic field effects, respectively, into the governing equations of the GSs. The differential quadrature method (DQM) is used to solve the governing differential equations for simply supported edges. The detailed parametric study is conducted, focusing on the remarkable effects of the angle and magnitude of magnetic field, different type of loading condition for couple system, tensile and compressive in-plane pre-load, aspect ratio and nonlocal parameter on the vibration behavior of the GSs. The result of this study can be useful to design of micro electro mechanical systems and nano electro mechanical systems.
http://jsm.iau-arak.ac.ir/article_514552_3cf8b6e73f36d4763d0270d35fa54207.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
193
205
Nonlocal vibration
Thermo-nonlocal
Couple system
2D-magnetic field
Biaxial in-plane pre-load
A.H
Ghorbanpour Arani
true
1
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
AUTHOR
M.J
Maboudi
true
2
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
AUTHOR
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
3
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan
LEAD_AUTHOR
S
Amir
true
4
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
AUTHOR
[1] Pradhan S.C., Kumar A., 2010, Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method, Computational Materials Science 50: 239-245.
1
[2] Murmu T., Adhikari S., 2011, Axial instability of double-nanobeam-systems, Physics Letters A 375: 601-608.
2
[3] Murmu T., Adhikari S., 2011, Nonlocal vibration of bonded double-nanoplate-systems, Composites: Part B 42: 1901-1911.
3
[4] Singh J.P., Dey S.S., 1990, Transverse vibration of rectangular plates subjected to inplane forses by a difference based vibrational approach, International Journal of Mechanical Sciences 32: 591-599.
4
[5] Zhang Y., Liu G., Han X., 2005, Transverse vibrations of double-walled carbon nanotubes under compressive axial load, Physics Letters A 340: 258-266.
5
[6] Mustapha K.B., Zhong Z.W., 2010, Free transverse vibration of an axially loaded non-prismatic single-walled carbon nanotube embedded in a two-parameter elastic medium, Computational Materials Science 50: 742-751.
6
[7] Karami Khorramabadi M., 2009, Free vibration of functionally graded beams with piezoelectric layers subjected to axial load, Journal of Solid Mechanics 1: 22-28.
7
[8] Murmu T., Pradhan S.C., 2009, Vibration analysis of nanoplates under uniaxial prestressed conditions via nonlocal elasticity, Journal of Applied Physics 106: 104301.
8
[9] Kiani K., 2012, Vibration analysis of elastically restrained double-walled carbon nanotubes on elastic foundation subjected to axial load using nonlocal shear deformable beam theories, International Journal of Mechanical Sciences 68: 16-34.
9
[10] Ajiki H., Ando T., 1993, Electronic states of carbon nanotubes, Journal of Physical Society of Japan 62: 1255-1266.
10
[11] Ajiki H., Ando T., 1994, Aharonov-bohm effect in carbon nanotubes, Physica B 201: 252-349.
11
[12] Ajiki H., Ando T., 1996, Energy bands of carbon nanotubes in magnetic fields, Journal of Physical Society of Japan 65: 505-514.
12
[13] Saito R., Dresselhaus G., Dresselhaus M.S., 1998, Physical Properties of Carbon Nanotubes, Imperial College Press, London.
13
[14] O´connell M.J., 2006, Carbon Nanotubes: Properties and Applications, CRC Press, Boca Raton.
14
[15] Ghorbanpour Arani A., Amir S., 2011, Magneto-thermo-elastic stresses and perturbation of magnetic field vector in a thin functionally graded rotating disk, Journal of Solid Mechanics 3: 392-407.
15
[16] Lu H., Gou J., Leng J., Du S., 2011, Magnetically aligned carbon nanotube in nanopaper enabled shape-memory nanocomposite for high speed electrical actuation, Applied Physics Letters 98: 174105.
16
[17] Camponeschi E., Vance R., Al-Haik M., Garmestani H., Tannenbaum R., 2007, Properties of carbon nanotube–polymer composites aligned in a magnetic field, Carbon 45: 2037-2046.
17
[18] Bubke K., Gnewuch H., Hempstead M., Hammer J., Green M.L.H., 1997, Optical anisotropy of dispersed carbon nanotubes induced by an electric field, Applied Physics Letters 71: 1906-1908.
18
[19] Liu T X., Spencer J.L., Kaiser A.B., Arnold W.M., 2004, Electric-field oriented carbon nanotubes in different dielectric solvents, Current Applied Physics 4: 125-128.
19
[20] Kiani K., 2012, Transverse wave propagation in elastically conﬁned single-walled carbon nanotubes subjected to longitudinal magnetic ﬁelds using nonlocal elasticity models, Physica E 45: 86-96.
20
[21] Murmu T., McCarthy M.A., Adhikari S., 2013, In-plane magnetic ﬁeld affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach, Composite Structures 96: 57-63.
21
[22] Timoshenko S., Woinowsky-Krieger S., 1959, Theory of Plates and Shells, Second edition, MCGRAW-HILL, London.
22
[23] Eringen A.C. 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703-4710.
23
[24] John, K.D., 1984, Electromagnetics, McGraw-Hil1, Moscow.
24
[25] Reddy J.N., 1997, Mechanics of Laminated Composite Plates, Theory and Analysis, Chemical Rubber Company, Boca Raton, FL.
25
[26] Sherbourne A.N., Pandey M.D., 1991, Differential quadrature method in the buckling analysis of beams and composite plates, Computers and Structures 40: 903-913.
26
[27] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics: a review, Applied Mechanics Reviews 49: 1-28.
27
[28] Chen W., Shu C., He W., Zhong T., 2000, The applications of special matrix products to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates, Computers and Structures 74: 65-76.
28
[29] Lancaster P., Timenetsky M., 1985, The Theory of Matrices with Applications, second edition, Academic Press Orlando.
29
[30] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., Mozdianfard M.R., Node S.M., 2013, Elastic foundation effect on nonlinear thermo-vibration of embedded double layered orthotropic graphene sheets using differential quadrature method, Journal of Mechanical Engineering Science: Part C 227:862-879.
30
31
ORIGINAL_ARTICLE
Nonlocal Vibration of Embedded Coupled CNTs Conveying Fluid Under Thermo-Magnetic Fields Via Ritz Method
In this work, nonlocal vibration of double of carbon nanotubes (CNTs) system conveying fluid coupled by visco-Pasternak medium is carried out based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the governing equations of motion are discretized and Ritz method is applied to obtain the frequency of coupled CNTs system. The detailed parametric study is conducted, focusing on the remarkable effects of the Knudsen number, aspect ratio, small scale, thermo-magnetic fields, velocity of conveying fluid and visco-Pasternak medium on the stability of coupled system. The results indicate that magnetic field has significant effect on stability of coupled system. Also, it is found that trend of figures have good agreement with the previous researches. Results of this investigation could be applied for optimum design of nano/micro mechanical devices for controlling stability of coupled systems conveying fluid under thermo-magnetic fields.
http://jsm.iau-arak.ac.ir/article_514553_1b171b8ae6f49ff3b5cef26fd09bf2ef.pdf
2013-06-30T11:23:20
2019-10-21T11:23:20
206
215
Vibration
Coupled system
Conveying fluid
Knudsen Number
Magnetic Field
Visco-Pasternak medium
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
LEAD_AUTHOR
S
Amir
true
2
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
AUTHOR
[1] Iijima S., 1991, Helical micro tubes of graphitic carbon, Nature 354: 56-58.
1
[2] Yan Z., Jiang L.Y., 2011, The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects, Nanotechnology 22(24): 245703-2457010.
2
[3] Ghorbanpour Arani A., Zarei M.S., Mohammadimehr M., Arefmanesh A., Mozdianfard M.R., 2011, The thermal effect on buckling analysis of a DWCNT embedded on the pasternak foundation, Physica E 43: 1642-1648.
3
[4] Ghorbanpour Arani A., Mohammadimehr M., Arefmanesh A., Ghasemi A., 2009, Transverse vibration of short carbon nanotube using cylindrical shell and beam models, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224: 745-756.
4
[5] Zhen Y., Fang B., Tang Y., 2011, Thermal-mechanical vibration and instability analysis of fluid-conveying double walled carbon nanotubes embedded in visco-elastic medium, Physica E 44: 379-385.
5
[6] Kuang Y.D., He X.Q., Chen C.Y., Li G.Q., 2009, Analysis of nonlinear vibrations of double-walled carbon nanotubes conveying fluid, Computation Materials Science 45: 875-880.
6
[7] Wang L., 2010, Vibration analysis of fluid-conveying nanotubes with consideration of surface effects, Physica E 43: 437-439.
7
[8] Khosravian N., Rafii-Tabar H., 2007, Computational modelling of the flow of viscous fluids in carbon nanotubes, Journal of Physics D: Applied Physics 40: 7046-7052.
8
[9] Wang L., Ni Q., Li M., Qian Q., 2008, The thermal effect on vibration and instability of carbon nanotubes conveying fluid, Physica E 40: 3179-3182.
9
[10] Murmu T., McCarthy M.A., Adhikari S., 2012, Vibration response of double-walled carbon nanotubes subjected to an externally applied longitudinal magnetic field: a nonlocal elasticity approach, Journal of Sound and Vibration 331: 5069-5086.
10
[11] Murmu T., Pradhan S.C., 2009, Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory, Computation Materials Science 46: 854-859.
11
[12] Murmu T., Adhikari S., 2011, Nonlocal buckling behavior of bonded double-nanoplate-systems, Journal of Applied Physics 108(8): 084316-084319.
12
[13] 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(1): 423-432.
13
[14] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703-4710.
14
[15] Ghavanloo E., Fazelzadeh S.A., 2011, Flow-thermoelastic vibration and instability analysis of viscoelastic carbon nanotubes embedded in viscous fluid, Physica E 44(1): 17-24.
15
[16] Karniadakis G., Beskok A., Aluru N., 2005, Microflows and Nanoflows: Fundamentals and Simulation, Springer.
16
[17] Mirramezani M., Mirdamadi H.R., 2012, The effects of knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid, Archive of applied mechanics 82(7): 879-890.
17
[18] Ghorbanpour Arani A., Shajari A.R., Atabakhshian V., Amir S., Loghman A., 2013, Nonlinear dynamical response of embedded fluid-conveyed micro-tube reinforced by BNNTs, Composites Part B Engineering 44(1): 424-432.
18
[19] Amabili M., 2008, Nonlinear Vibrations and Stability of Shells and Plates, Italy, Cambridge University Press.
19
[20] Yang J., Ke L.L., Kitipornchai S., 2010, Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory, Physica E 42(5): 1727-1735.
20
[21] Mohammadimehr M., Saidi A.R., Ghorbanpour Arani A., Arefmanesh A., Han Q., 2010, Torsional buckling of a DWCNT embedded on winkler and pasternak foundations using nonlocal theory, Journal of Mechanical Science and Technology 24(6): 1289–1299.
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