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Volumn 43, Issue 5, 2012, Pages 2335-2347

A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation

Author keywords

A. Plates; B. Vibration; C. Analytical modeling; C. Computational modeling

Indexed keywords

A. PLATES; ANALYTICAL MODELING; B. VIBRATION; CLOSED FORM SOLUTIONS; COMPUTATIONAL MODELING; DISPLACEMENT FIELD; ELASTIC FOUNDATION; FREE VIBRATION; FUNCTIONALLY GRADED PLATES; HAMILTON'S PRINCIPLE; IN-PLANE DISPLACEMENT; MATERIAL PROPERTY; PASTERNAK FOUNDATION; PLATE SURFACES; POWER LAW DISTRIBUTION; POWER LAW INDEX; RECTANGULAR PLATES; REFINED SHEAR DEFORMATION THEORY; SHEAR COMPONENTS; SHEAR CORRECTION FACTORS; THICKNESS RATIO; THIRD-ORDER SHEAR DEFORMATION THEORY; THREE-DIMENSIONAL ELASTICITY SOLUTION; TRANSVERSE DISPLACEMENTS;

EID: 84861190299     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2011.11.062     Document Type: Article
Times cited : (166)

References (39)
  • 1
    • 0030678234 scopus 로고    scopus 로고
    • FGM activities in Japan
    • PII S1359836896000169
    • M. Koizumi FGM activities in Japan Compos Part B Eng 28 1-2 1997 1 4 (Pubitemid 127379737)
    • (1997) Composites Part B: Engineering , vol.28 , Issue.1-2 , pp. 1-4
    • Koizumi, M.1
  • 4
    • 63449104331 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations
    • P. Malekzadeh Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations Compos Struct 89 3 2009 367 373
    • (2009) Compos Struct , vol.89 , Issue.3 , pp. 367-373
    • Malekzadeh, P.1
  • 5
    • 70449356635 scopus 로고    scopus 로고
    • Exact solutions for free vibrations of functionally graded thick plates on elastic foundations
    • C.F. Lu, C.W. Lim, and W.Q. Chen Exact solutions for free vibrations of functionally graded thick plates on elastic foundations Mech Adv Mater Struct 16 8 2009 576 584
    • (2009) Mech Adv Mater Struct , vol.16 , Issue.8 , pp. 576-584
    • Lu, C.F.1    Lim, C.W.2    Chen, W.Q.3
  • 6
    • 70350692270 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of functionally graded material plates resting on an elastic foundation
    • M.H. Amini, M. Soleimani, and A. Rastgoo Three-dimensional free vibration analysis of functionally graded material plates resting on an elastic foundation Smart Mater Struct 18 8 2009 1 9
    • (2009) Smart Mater Struct , vol.18 , Issue.8 , pp. 1-9
    • Amini, M.H.1    Soleimani, M.2    Rastgoo, A.3
  • 7
    • 79952575822 scopus 로고    scopus 로고
    • Three-dimensional free vibration of variable thickness thick circular and annular isotropic and functionally graded plates on Pasternak foundation
    • V. Tajeddini, A. Ohadi, and M. Sadighi Three-dimensional free vibration of variable thickness thick circular and annular isotropic and functionally graded plates on Pasternak foundation Int J Mech Sci 53 4 2011 300 308
    • (2011) Int J Mech Sci , vol.53 , Issue.4 , pp. 300-308
    • Tajeddini, V.1    Ohadi, A.2    Sadighi, M.3
  • 8
    • 0035545931 scopus 로고    scopus 로고
    • Dynamic response of initially stressed functionally graded rectangular thin plates
    • DOI 10.1016/S0263-8223(01)00122-2, PII S0263822301001222
    • J. Yang, and H.S. Shen Dynamic response of initially stressed functionally graded rectangular thin plates Compos Struct 54 4 2001 497 508 (Pubitemid 33045432)
    • (2001) Composite Structures , vol.54 , Issue.4 , pp. 497-508
    • Yang, J.1    Shen, H.-S.2
  • 9
    • 76349121518 scopus 로고    scopus 로고
    • Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations
    • S. Hosseini-Hashemi, H. Rokni Damavandi Taher, and H. Akhavan Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations Compos Struct 92 7 2010 1734 1743
    • (2010) Compos Struct , vol.92 , Issue.7 , pp. 1734-1743
    • Hosseini-Hashemi, S.1    Rokni Damavandi Taher, H.2    Akhavan, H.3
  • 10
    • 73049109042 scopus 로고    scopus 로고
    • Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation
    • S. Hosseini-Hashemi, H. Akhavan, H.R.D. Taher, N. Daemi, and A. Alibeigloo Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation Mater Des 31 4 2010 1871 1880
    • (2010) Mater des , vol.31 , Issue.4 , pp. 1871-1880
    • Hosseini-Hashemi, S.1    Akhavan, H.2    Taher, H.R.D.3    Daemi, N.4    Alibeigloo, A.5
  • 11
    • 79951570976 scopus 로고    scopus 로고
    • An exact solution for free vibration of thin functionally graded rectangular plates
    • A.H. Baferani, A.R. Saidi, and E. Jomehzadeh An exact solution for free vibration of thin functionally graded rectangular plates Proc Inst Mech Eng Part C J Mech Eng Sci 225 3 2011 526 536
    • (2011) Proc Inst Mech Eng Part C J Mech Eng Sci , vol.225 , Issue.3 , pp. 526-536
    • Baferani, A.H.1    Saidi, A.R.2    Jomehzadeh, E.3
  • 12
    • 79952746318 scopus 로고    scopus 로고
    • A semi-analytical solution for free vibration of variable thickness two-directional-functionally graded plates on elastic foundations
    • M.M. Alipour, M. Shariyat, and M. Shaban A semi-analytical solution for free vibration of variable thickness two-directional-functionally graded plates on elastic foundations Int J Mech Mater Des 6 4 2010 293 304
    • (2010) Int J Mech Mater des , vol.6 , Issue.4 , pp. 293-304
    • Alipour, M.M.1    Shariyat, M.2    Shaban, M.3
  • 13
    • 74349093131 scopus 로고    scopus 로고
    • Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory
    • S. Hosseini-Hashemi, H. Rokni Damavandi Taher, H. Akhavan, and M. Omidi Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory Appl Mathe Modell 34 5 2010 1276 1291
    • (2010) Appl Mathe Modell , vol.34 , Issue.5 , pp. 1276-1291
    • Hosseini-Hashemi, S.1    Rokni Damavandi Taher, H.2    Akhavan, H.3    Omidi, M.4
  • 14
    • 79961023741 scopus 로고    scopus 로고
    • Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment
    • 10.1007/s11012-010-9345-5 1-21
    • P. Malekzadeh, M.R. Golbahar Haghighi, and M.M. Atashi Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment Meccanica 2011 10.1007/s11012-010-9345-5 1-21
    • (2011) Meccanica
    • Malekzadeh, P.1    Golbahar Haghighi, M.R.2    Atashi, M.M.3
  • 16
    • 79955476563 scopus 로고    scopus 로고
    • Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation
    • A.H. Baferani, A.R. Saidi, and H. Ehteshami Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation Compos Struct 93 7 2011 1842 1853
    • (2011) Compos Struct , vol.93 , Issue.7 , pp. 1842-1853
    • Baferani, A.H.1    Saidi, A.R.2    Ehteshami, H.3
  • 17
    • 70449718741 scopus 로고    scopus 로고
    • The refined sinusoidal theory for FGM plates on elastic foundations
    • A.M. Zenkour The refined sinusoidal theory for FGM plates on elastic foundations Int J Mech Sci 51 11-12 2009 869 880
    • (2009) Int J Mech Sci , vol.51 , Issue.1112 , pp. 869-880
    • Zenkour, A.M.1
  • 18
    • 77957940082 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded plates resting on Winkler-Pasternak elastic foundations using a new shear deformation theory
    • H. Ait Atmane, A. Tounsi, I. Mechab, and E.A.A. Bedia Free vibration analysis of functionally graded plates resting on Winkler-Pasternak elastic foundations using a new shear deformation theory Int J Mech Mater Des 6 2 2010 113 121
    • (2010) Int J Mech Mater des , vol.6 , Issue.2 , pp. 113-121
    • Ait Atmane, H.1    Tounsi, A.2    Mechab, I.3    Bedia, E.A.A.4
  • 19
    • 35148820078 scopus 로고    scopus 로고
    • Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory
    • DOI 10.1016/j.compstruct.2007.01.030, PII S0263822307000311
    • H. Matsunaga Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory Compos Struct 82 4 2008 499 512 (Pubitemid 47543561)
    • (2008) Composite Structures , vol.82 , Issue.4 , pp. 499-512
    • Matsunaga, H.1
  • 20
    • 68349122612 scopus 로고    scopus 로고
    • An efficient and simple refined theory for bending and vibration of functionally graded plates
    • M.E. Fares, M.K. Elmarghany, and D. Atta An efficient and simple refined theory for bending and vibration of functionally graded plates Compos Struct 91 3 2009 296 305
    • (2009) Compos Struct , vol.91 , Issue.3 , pp. 296-305
    • Fares, M.E.1    Elmarghany, M.K.2    Atta, D.3
  • 21
    • 77954027308 scopus 로고    scopus 로고
    • Static response and free vibration analysis of FGM plates using higher order shear deformation theory
    • M. Talha, and B.N. Singh Static response and free vibration analysis of FGM plates using higher order shear deformation theory Appl Mathe Modell 34 12 2010 3991 4011
    • (2010) Appl Mathe Modell , vol.34 , Issue.12 , pp. 3991-4011
    • Talha, M.1    Singh, B.N.2
  • 22
    • 84856484890 scopus 로고    scopus 로고
    • A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates
    • A.M.A. Neves, A.J.M. Ferreira, E. Carrera, C.M.C. Roque, M. Cinefra, and R.M.N. Jorge A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates Compos Part B Eng 43 2 2012 711 725
    • (2012) Compos Part B Eng , vol.43 , Issue.2 , pp. 711-725
    • Neves, A.M.A.1    Ferreira, A.J.M.2    Carrera, E.3    Roque, C.M.C.4    Cinefra, M.5    Jorge, R.M.N.6
  • 23
    • 77952429408 scopus 로고    scopus 로고
    • An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates
    • C.P. Wu, and H.Y. Li An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates Compos Struct 92 10 2010 2591 2605
    • (2010) Compos Struct , vol.92 , Issue.10 , pp. 2591-2605
    • Wu, C.P.1    Li, H.Y.2
  • 24
    • 77952429361 scopus 로고    scopus 로고
    • The RMVT- and PVD-based finite layer methods for the three-dimensional analysis of multilayered composite and FGM plates
    • C.P. Wu, and H.Y. Li The RMVT- and PVD-based finite layer methods for the three-dimensional analysis of multilayered composite and FGM plates Compos Struct 92 10 2010 2476 2496
    • (2010) Compos Struct , vol.92 , Issue.10 , pp. 2476-2496
    • Wu, C.P.1    Li, H.Y.2
  • 25
    • 79951514319 scopus 로고    scopus 로고
    • RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates
    • C.P. Wu, K.H. Chiu, and Y.M. Wang RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates Compos Struct 93 2 2011 923 943
    • (2011) Compos Struct , vol.93 , Issue.2 , pp. 923-943
    • Wu, C.P.1    Chiu, K.H.2    Wang, Y.M.3
  • 26
    • 79959944125 scopus 로고    scopus 로고
    • RMVT-based meshless collocation and element-free Galerkin methods for the approximate 3D analysis of multilayered composite and FGM circular hollow cylinders
    • C.P. Wu, and S.W. Yang RMVT-based meshless collocation and element-free Galerkin methods for the approximate 3D analysis of multilayered composite and FGM circular hollow cylinders Compos Part B Eng 42 6 2011 1683 1700
    • (2011) Compos Part B Eng , vol.42 , Issue.6 , pp. 1683-1700
    • Wu, C.P.1    Yang, S.W.2
  • 27
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking
    • E. Carrera Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking Arch Comput Meth Eng 10 3 2003 215 296
    • (2003) Arch Comput Meth Eng , vol.10 , Issue.3 , pp. 215-296
    • Carrera, E.1
  • 28
    • 51249098500 scopus 로고    scopus 로고
    • Mixed plate theories based on the Generalized Unified Formulation. Part I: Governing equations
    • D. Luciano Mixed plate theories based on the Generalized Unified Formulation. Part I: governing equations Compos Struct 87 1 2009 1 11
    • (2009) Compos Struct , vol.87 , Issue.1 , pp. 1-11
    • Luciano, D.1
  • 29
    • 52749085411 scopus 로고    scopus 로고
    • Mixed plate theories based on the Generalized Unified Formulation. Part III: Advanced mixed high order shear deformation theories
    • D. Luciano Mixed plate theories based on the Generalized Unified Formulation. Part III: advanced mixed high order shear deformation theories Compos Struct 87 3 2009 183 194
    • (2009) Compos Struct , vol.87 , Issue.3 , pp. 183-194
    • Luciano, D.1
  • 30
    • 52749090239 scopus 로고    scopus 로고
    • Mixed plate theories based on the Generalized Unified Formulation. Part IV: Zig-zag theories
    • D. Luciano Mixed plate theories based on the Generalized Unified Formulation. Part IV: zig-zag theories Compos Struct 87 3 2009 195 205
    • (2009) Compos Struct , vol.87 , Issue.3 , pp. 195-205
    • Luciano, D.1
  • 31
    • 51249098500 scopus 로고    scopus 로고
    • Mixed plate theories based on the Generalized Unified Formulation. Part V: Results
    • D. Luciano Mixed plate theories based on the Generalized Unified Formulation. Part V: results Compos Struct 88 1 2009 1 16
    • (2009) Compos Struct , vol.88 , Issue.1 , pp. 1-16
    • Luciano, D.1
  • 32
    • 51249102593 scopus 로고    scopus 로고
    • Mixed plate theories based on the Generalized Unified Formulation.: Part II: Layerwise theories
    • D. Luciano Mixed plate theories based on the Generalized Unified Formulation.: Part II: layerwise theories Compos Struct 87 1 2009 12 22
    • (2009) Compos Struct , vol.87 , Issue.1 , pp. 12-22
    • Luciano, D.1
  • 33
    • 23844460573 scopus 로고    scopus 로고
    • Stochastic analysis of compositionally graded plates with system randomness under static loading
    • DOI 10.1016/j.ijmecsci.2005.06.006, PII S0020740305001682
    • J. Yang, K.M. Liew, and S. Kitipornchai Stochastic analysis of compositionally graded plates with system randomness under static loading Int J Mech Sci 47 10 2005 1519 1541 (Pubitemid 41172488)
    • (2005) International Journal of Mechanical Sciences , vol.47 , Issue.10 , pp. 1519-1541
    • Yang, J.1    Liew, K.M.2    Kitipornchai, S.3
  • 34
    • 28444450522 scopus 로고    scopus 로고
    • Random vibration of the functionally graded laminates in thermal environments
    • DOI 10.1016/j.cma.2005.01.016, PII S0045782505001520
    • S. Kitipornchai, J. Yang, and K.M. Liew Random vibration of the functionally graded laminates in thermal environments Comput Meth Appl Mech Eng 195 9-12 2006 1075 1095 (Pubitemid 41722566)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.9-12 , pp. 1075-1095
    • Kitipornchai, S.1    Yang, J.2    Liew, K.M.3
  • 36
    • 0033988248 scopus 로고    scopus 로고
    • Canonical exact solutions for Levy-plates on two-parameter foundation using Green's functions
    • DOI 10.1016/S0141-0296(98)00116-3, PII S0141029698001163
    • K.Y. Lam, C.M. Wang, and X.Q. He Canonical exact solutions for Levy-plates on two-parameter foundation using Green's functions Eng Struct 22 4 2000 364 378 (Pubitemid 30000080)
    • (2000) Engineering Structures , vol.22 , Issue.4 , pp. 364-378
    • Lam, K.Y.1    Wang, C.M.2    He, X.Q.3
  • 37
    • 77956188524 scopus 로고    scopus 로고
    • Exact solutions for free flexural vibration of Levy-type rectangular thick plates via third-order shear deformation plate theory
    • S. Hosseini-Hashemi, M. Fadaee, and H. Rokni Damavandi Taher Exact solutions for free flexural vibration of Levy-type rectangular thick plates via third-order shear deformation plate theory Appl Mathe Model 35 2 2011 708 727
    • (2011) Appl Mathe Model , vol.35 , Issue.2 , pp. 708-727
    • Hosseini-Hashemi, S.1    Fadaee, M.2    Rokni Damavandi Taher, H.3
  • 38
    • 70449356635 scopus 로고    scopus 로고
    • Exact solutions for free vibrations of functionally graded thick plates on elastic foundations
    • C.F. Lu, C.W. Lim, and W.Q. Chen Exact solutions for free vibrations of functionally graded thick plates on elastic foundations Mech Adv Mater Struct 16 8 2009 576 584
    • (2009) Mech Adv Mater Struct , vol.16 , Issue.8 , pp. 576-584
    • Lu, C.F.1    Lim, C.W.2    Chen, W.Q.3


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