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Volumn 469, Issue 2153, 2013, Pages

Analytic bending solutions of free rectangular thin plates resting on elastic foundations by a new symplectic superposition method

Author keywords

Analytic solution; Elastic foundation; Rectangular plate; Symplectic superposition method

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; PLATES (STRUCTURAL COMPONENTS);

EID: 84877303932     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2012.0681     Document Type: Article
Times cited : (73)

References (52)
  • 1
    • 0026406237 scopus 로고
    • Refined model for analysis of plates on elastic foundations
    • doi:10.1061/(ASCE)0733-9399(1991) 117:12(2830
    • Vallabhan CVG, Straughan WT, Das YC. 1991 Refined model for analysis of plates on elastic foundations. J. Eng. Mech. ASCE 117, 2830-2844. (doi:10.1061/(ASCE)0733-9399(1991) 117:12(2830)).
    • (1991) J. Eng. Mech. ASCE , vol.117 , pp. 2830-2844
    • Vallabhan, C.V.G.1    Straughan, W.T.2    Das, Y.C.3
  • 2
    • 0034778185 scopus 로고    scopus 로고
    • Analysis of plate resting on elastic supports and elastic foundation by finite strip method
    • doi:10.1016/S0045-7949 (01)00134-1
    • Huang M-H, Thambiratnam DP. 2001 Analysis of plate resting on elastic supports and elastic foundation by finite strip method. Comput. Struct. 79, 2547-2557. (doi:10.1016/S0045-7949 (01)00134-1).
    • (2001) Comput. Struct. , vol.79 , pp. 2547-2557
    • Huang, M.-H.1    Thambiratnam, D.P.2
  • 3
    • 0043141125 scopus 로고
    • Plates and tanks on elastic foundations: An application of finite element method
    • doi:10.1016/0020-7683(65)90008-9
    • Cheung YK, Zienkiewicz OC. 1965 Plates and tanks on elastic foundations: an application of finite element method. Int. J. Solids Struct. 1, 451-461. (doi:10.1016/0020-7683(65)90008-9).
    • (1965) Int. J. Solids Struct. , vol.1 , pp. 451-461
    • Cheung, Y.K.1    Zienkiewicz, O.C.2
  • 4
    • 0032672333 scopus 로고    scopus 로고
    • Axisymmetric shells and plates on tensionless elastic foundations
    • doi:10.1016/S0020-7683(98)00228-5
    • Hong T, Teng JG, Luo YF. 1999 Axisymmetric shells and plates on tensionless elastic foundations. Int. J. Solids Struct. 36, 5277-5300. (doi:10.1016/S0020-7683(98)00228-5).
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 5277-5300
    • Hong, T.1    Teng, J.G.2    Luo, Y.F.3
  • 5
    • 0035283851 scopus 로고    scopus 로고
    • Numerical methods for analysis of plates on tensionless elastic foundations
    • doi:10.1016/S0020-7683 (00)00154-2
    • Silva ARD, Silveira RAM, Goncalves PB. 2001 Numerical methods for analysis of plates on tensionless elastic foundations. Int. J. Solids Struct. 38, 2083-2100. (doi:10.1016/S0020-7683 (00)00154-2).
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 2083-2100
    • Silva, A.R.D.1    Silveira, R.A.M.2    Goncalves, P.B.3
  • 6
    • 0023828214 scopus 로고
    • A new boundary element method for bending of plates on elastic foundations
    • doi:10.1016/0020-7683(88)90057-1
    • Bezine G. 1988 A new boundary element method for bending of plates on elastic foundations. Int. J. Solids Struct. 24, 557-565. (doi:10.1016/0020- 7683(88)90057-1).
    • (1988) Int. J. Solids Struct. , vol.24 , pp. 557-565
    • Bezine, G.1
  • 7
    • 0028870947 scopus 로고
    • A new fundamental solution for boundary-element analysis of thin plates on Winkler foundation
    • doi:10. 1002/nme.1620380602
    • El-zafrany A, Fadhil S, Alhosani K. 1995 A new fundamental solution for boundary-element analysis of thin plates on Winkler foundation. Int. J. Numer. Methods Eng. 38, 887-903. (doi:10. 1002/nme.1620380602).
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 887-903
    • El-Zafrany, A.1    Fadhil, S.2    Alhosani, K.3
  • 8
    • 0025745556 scopus 로고
    • Large deflection analysis of plates on elastic-foundation by the boundary element method
    • doi:10.1016/0020-7683(91)90182-F
    • Katsikadelis JT. 1991 Large deflection analysis of plates on elastic-foundation by the boundary element method. Int. J. Solids Struct. 27, 1867-1878. (doi:10.1016/0020-7683(91)90182-F).
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 1867-1878
    • Katsikadelis, J.T.1
  • 9
    • 0031246284 scopus 로고    scopus 로고
    • On the bending problems of anisotropic (orthotropic) plates resting on elastic foundations that react in compression only
    • doi:10.1016/S0020-7683(96)00227-2
    • Akbarov SD, Kocatürk T. 1997 On the bending problems of anisotropic (orthotropic) plates resting on elastic foundations that react in compression only. Int. J. Solids Struct. 34, 3673-3689. (doi:10.1016/S0020-7683(96)00227-2).
    • (1997) Int. J. Solids Struct. , vol.34 , pp. 3673-3689
    • Akbarov, S.D.1    Kocatürk, T.2
  • 10
    • 0024143459 scopus 로고
    • Rectangular-plates resting on tensionless elastic-foundation
    • doi:10.1061/(ASCE)0733-9399(1988)114:12(2083)
    • Celep Z. 1988 Rectangular-plates resting on tensionless elastic-foundation. J. Eng. Mech. ASCE 114, 2083-2092. (doi:10.1061/(ASCE)0733- 9399(1988)114:12(2083)).
    • (1988) J. Eng. Mech. ASCE , vol.114 , pp. 2083-2092
    • Celep, Z.1
  • 11
    • 77249157716 scopus 로고    scopus 로고
    • Bending of stochastic Kirchhoff plates on winkler foundations via the galerkin method and the askey-wiener scheme
    • doi:10.1016/j.probengmech.2009.10.002
    • Da Silva CRÁ, Beck AT. 2010 Bending of stochastic Kirchhoff plates on Winkler foundations via the Galerkin method and the Askey-Wiener scheme. Probab. Eng. Mech. 25, 172-182. (doi:10.1016/j.probengmech.2009.10.002).
    • (2010) Probab. Eng. Mech. , vol.25 , pp. 172-182
    • Da Silva, C.R.A.1    Beck, A.T.2
  • 12
    • 0021464324 scopus 로고
    • Plates on elastic-foundation by biemethod
    • doi:10.1061/(ASCE)0733-9399(1984)110:7(1086
    • Katsikadelis JT, Armenàkas AE. 1984 Plates on elastic-foundation by Biemethod. J. Eng. Mech. ASCE 110, 1086-1105. (doi:10.1061/(ASCE)0733- 9399(1984)110:7(1086)).
    • (1984) J. Eng. Mech. ASCE , vol.110 , pp. 1086-1105
    • Katsikadelis, J.T.1    Armenàkas, A.E.2
  • 13
    • 0021494556 scopus 로고
    • Analysis of clamped plates on elastic-foundation by the boundary integral-equation method
    • doi:10.1115/1.3167676
    • Katsikadelis JT, Armenàkas AE. 1984 Analysis of clamped plates on elastic-foundation by the boundary integral-equation method. J. Appl. Mech. Trans. ASME 51, 574-580. (doi:10.1115/1.3167676).
    • (1984) J. Appl. Mech. Trans. ASME , vol.51 , pp. 574-580
    • Katsikadelis, J.T.1    Armenàkas, A.E.2
  • 14
    • 0037147382 scopus 로고    scopus 로고
    • Meshless local boundary integral equation method for simply supported and clamped plates resting on elastic foundation
    • doi:10.1016/S0045-7825(02)00505-4
    • Sladek J, Sladek V, Mang HA. 2002 Meshless local boundary integral equation method for simply supported and clamped plates resting on elastic foundation. Comput. Methods Appl. Mech. Eng. 191, 5943-5959. (doi:10.1016/S0045-7825(02)00505-4).
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 5943-5959
    • Sladek, J.1    Sladek, V.2    Mang, H.A.3
  • 15
    • 0033165097 scopus 로고    scopus 로고
    • A method for the analysis of plates on a two-parameter foundation
    • doi:10.1016/S0020-7683(98)00135-8
    • Çelik M, Saygun A. 1999 A method for the analysis of plates on a two-parameter foundation. Int. J. Solids Struct. 36, 2891-2915. (doi:10.1016/S0020-7683(98)00135-8).
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 2891-2915
    • Çelik, M.1    Saygun, A.2
  • 16
    • 3142685101 scopus 로고    scopus 로고
    • The effective depth of soil stratum for plates resting on elastic foundation
    • Daloglu AT, Ozgan K. 2004 The effective depth of soil stratum for plates resting on elastic foundation. Struct. Eng. Mech. 18, 263-276.
    • (2004) Struct. Eng. Mech. , vol.18 , pp. 263-276
    • Daloglu, A.T.1    Ozgan, K.2
  • 17
    • 0345832022 scopus 로고    scopus 로고
    • Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
    • doi:10.1016/j.engstruct.2003.09.005
    • Civalek Ö. 2004 Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns. Eng. Struct. 26, 171-186. (doi:10.1016/j.engstruct. 2003.09.005).
    • (2004) Eng. Struct. , vol.26 , pp. 171-186
    • Civalek, Ö.1
  • 18
    • 34548321627 scopus 로고    scopus 로고
    • Discrete singular convolution method for the analysis of mindlin plates on elastic foundations
    • doi:10.1016/j.ijpvp.2007.07.001
    • Civalek Ö, Acar MH. 2007 Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations. Int. J. Pressure Vessels Piping 84, 527-535. (doi:10.1016/j.ijpvp.2007.07.001).
    • (2007) Int. J. Pressure Vessels Piping , vol.84 , pp. 527-535
    • Civalek, Ö.1    Acar, M.H.2
  • 19
    • 43749091969 scopus 로고    scopus 로고
    • The method of fundamental solutions with dual reciprocity for thin plates on winkler foundations with arbitrary loadings
    • doi:10.1017/S1727719100002197
    • Tsai CC. 2008 The method of fundamental solutions with dual reciprocity for thin plates on Winkler foundations with arbitrary loadings. J. Mech. 24, 163-171. (doi:10.1017/S1727719100002197).
    • (2008) J. Mech. , vol.24 , pp. 163-171
    • Tsai, C.C.1
  • 20
    • 78650630094 scopus 로고    scopus 로고
    • Bending of a fiber-reinforced viscoelastic composite plate resting on elastic foundations
    • doi:10.1007/s00419-009-0396-9
    • Zenkour AM, Allam MNM, Sobhy M. 2011 Bending of a fiber-reinforced viscoelastic composite plate resting on elastic foundations. Arch. Appl. Mech. 81, 77-96. (doi:10.1007/s00419-009-0396-9).
    • (2011) Arch. Appl. Mech. , vol.81 , pp. 77-96
    • Zenkour, A.M.1    Allam, M.N.M.2    Sobhy, M.3
  • 21
    • 78650770692 scopus 로고    scopus 로고
    • Fourier differential quadrature method for irregular thin plate bending problems on Winkler foundation
    • doi:10.1016/j.enganabound.2010.09.011
    • Shao W, Wu X. 2011 Fourier differential quadrature method for irregular thin plate bending problems on Winkler foundation. Eng. Anal. Boundary Elements 35, 389-394. (doi:10.1016/j.enganabound.2010.09.011).
    • (2011) Eng. Anal. Boundary Elements , vol.35 , pp. 389-394
    • Shao, W.1    Wu, X.2
  • 22
    • 0027224199 scopus 로고
    • Method of separation of variables and hamiltonian system
    • doi:10.1002/num.1690090107
    • Zhong WX, Zhong XX. 1993 Method of separation of variables and Hamiltonian system. Numer. Meth Part. D. E. 9, 63-75. (doi:10.1002/num. 1690090107).
    • (1993) Numer. Meth Part. D. E. , vol.9 , pp. 63-75
    • Zhong, W.X.1    Zhong, X.X.2
  • 23
    • 0027700567 scopus 로고
    • Physical interpretation of the symplectic orthogonality of the eigensolutions of a Hamiltonian or simplistic matrix
    • doi:10.1016/0045-7949(93)90077-Q
    • Zhong WX, Williams FW. 1993 Physical interpretation of the symplectic orthogonality of the eigensolutions of a Hamiltonian or symplectic matrix. Comput. Struct. 49, 749-750. (doi:10.1016/0045-7949(93)90077-Q).
    • (1993) Comput. Struct. , vol.49 , pp. 749-750
    • Zhong, W.X.1    Williams, F.W.2
  • 25
    • 0001299089 scopus 로고
    • Difference schemes for Hamiltonian formalism and symplectic geometry
    • Feng K. 1986 Difference schemes for Hamiltonian formalism and symplectic geometry. J. Comput. Math. 4, 279-289.
    • (1986) J. Comput. Math. , vol.4 , pp. 279-289
    • Feng, K.1
  • 26
    • 68149091432 scopus 로고    scopus 로고
    • The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts
    • doi:10.1016/j.ijsolstr.2009.06.005
    • Zhou ZH, Xu XS, Leung AYT. 2009 The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts. Int. J. Solids Struct. 46, 3577-3586. (doi:10.1016/j.ijsolstr.2009.06. 005).
    • (2009) Int. J. Solids Struct. , vol.46 , pp. 3577-3586
    • Zhou, Z.H.1    Xu, X.S.2    Leung, A.Y.T.3
  • 27
    • 17244380571 scopus 로고    scopus 로고
    • Numerical comparison for three different symplectic perturbation methods
    • In Chinese
    • Zhong WX, Sun Y. 2005 Numerical comparison for three different symplectic perturbation methods. J. Dyn. Control 3, 1-9. [In Chinese.].
    • (2005) J. Dyn. Control , vol.3 , pp. 1-9
    • Zhong, W.X.1    Sun, Y.2
  • 28
    • 33747782522 scopus 로고    scopus 로고
    • An application of the symplectic system in two-dimensional viscoelasticity
    • doi:10.1016/j.ijengsci.2006.06.006
    • Xu XS, Zhang WX, Li X, Wang GP. 2006 An application of the symplectic system in twodimensional viscoelasticity. Int. J. Eng. Sci. 44, 897-914. (doi:10.1016/j.ijengsci.2006.06.006).
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 897-914
    • Xu, X.S.1    Zhang, W.X.2    Li, X.3    Wang, G.P.4
  • 29
    • 71049152825 scopus 로고    scopus 로고
    • Influence of inlet radius on stokes flow in a circular tube via the Hamiltonian systematic method
    • doi:10.1063/1.3250302
    • Wang GP, Xu XS, Zhang YX. 2009 Influence of inlet radius on stokes flow in a circular tube via the Hamiltonian systematic method. Phys. Fluids 21, 103602. (doi:10.1063/1.3250302).
    • (2009) Phys. Fluids , vol.21 , pp. 103602
    • Wang, G.P.1    Xu, X.S.2    Zhang, Y.X.3
  • 30
    • 84877259336 scopus 로고    scopus 로고
    • Duality system in optimal control and applied mechanics
    • Zhong WX, Wu ZG, Gao Q. 2004 Duality system in optimal control and applied mechanics. Comput. Mech. Proc. 17-36.
    • (2004) Comput. Mech. Proc. , pp. 17-36
    • Zhong, W.X.1    Wu, Z.G.2    Gao, Q.3
  • 31
    • 77952273308 scopus 로고    scopus 로고
    • A symplectic hamiltonian approach for thermal buckling of cylindrical shells
    • doi:10.1142/S0219455410003506
    • Xu XS, Chu HJ, Lim CW. 2010 A symplectic Hamiltonian approach for thermal buckling of cylindrical shells. Int. J. Struct. Stabil. Dyn. 10, 273-286. (doi:10.1142/S0219455410003506).
    • (2010) Int. J. Struct. Stabil. Dyn. , vol.10 , pp. 273-286
    • Xu, X.S.1    Chu, H.J.2    Lim, C.W.3
  • 32
    • 70349840418 scopus 로고    scopus 로고
    • Symplectic analysis of plane problems of functionally graded piezoelectric materials
    • doi:10.1016/j.mechmat.2009.09.001
    • Zhao L, Chen WQ. 2009 Symplectic analysis of plane problems of functionally graded piezoelectric materials. Mech. Mater. 41, 1330-1339. (doi:10.1016/j.mechmat.2009.09.001).
    • (2009) Mech. Mater. , vol.41 , pp. 1330-1339
    • Zhao, L.1    Chen, W.Q.2
  • 33
    • 49049115908 scopus 로고    scopus 로고
    • A new symplectic approach for piezoelectric cantilever composite plates
    • doi:10.1016/j.compstruc.2008.04.005
    • Leung AYT, Zheng JJ, Lim CW, Zhang XC, Xu XS, Gu Q. 2008 A new symplectic approach for piezoelectric cantilever composite plates. Comput. Struct. 86, 1865-1874. (doi:10.1016/j.compstruc.2008.04.005).
    • (2008) Comput. Struct. , vol.86 , pp. 1865-1874
    • Leung, A.Y.T.1    Zheng, J.J.2    Lim, C.W.3    Zhang, X.C.4    Xu, X.S.5    Gu, Q.6
  • 34
    • 0141919580 scopus 로고    scopus 로고
    • Symplectic analysis for periodical electro-magnetic waveguides
    • doi:10.1016/S0022-460X(02)01451-7
    • Zhong WX, Williams FW, Leung AYT. 2003 Symplectic analysis for periodical electro-magnetic waveguides. J. Sound Vib. 267, 227-244. (doi:10.1016/S0022- 460X(02)01451-7).
    • (2003) J. Sound Vib. , vol.267 , pp. 227-244
    • Zhong, W.X.1    Williams, F.W.2    Leung, A.Y.T.3
  • 35
    • 76049106824 scopus 로고    scopus 로고
    • Plane analysis for functionally graded magneto-electro-elastic materials via the symplectic framework
    • doi:10.1016/j.compstruct.2009.11.029
    • Zhao L, Chen WQ. 2010 Plane analysis for functionally graded magneto-electro-elastic materials via the symplectic framework. Compos. Struct. 92, 1753-1761. (doi:10.1016/j.compstruct.2009.11.029).
    • (2010) Compos. Struct. , vol.92 , pp. 1753-1761
    • Zhao, L.1    Chen, W.Q.2
  • 36
    • 79953237896 scopus 로고    scopus 로고
    • Symplectic elasticity: Theory and applications
    • doi:10.1115/1.4003700
    • Lim CW, Xu XS. 2010 Symplectic elasticity: theory and applications. Appl. Mech. Rev. 63, 050802. (doi:10.1115/1.4003700).
    • (2010) Appl. Mech. Rev. , vol.63 , pp. 050802
    • Lim, C.W.1    Xu, X.S.2
  • 38
    • 0141873301 scopus 로고    scopus 로고
    • Analytical solutions on saint-venant problem of layered plates
    • In Chinese
    • Zhong WX, Yao WA. 1997 Analytical solutions on Saint-Venant problem of layered plates. Acta Mech. Sin. 29, 617-626. [In Chinese.].
    • (1997) Acta Mech. Sin. , vol.29 , pp. 617-626
    • Zhong, W.X.1    Yao, W.A.2
  • 39
    • 0012777779 scopus 로고    scopus 로고
    • An exact symplectic geometry solution for the static and dynamic analysis of reissner plates
    • doi:10.1016/S0045-7825(97)00204-1
    • Zou G. 1998 An exact symplectic geometry solution for the static and dynamic analysis of Reissner plates. Comput. Methods Appl. Mech. Eng. 156, 171-178. (doi:10.1016/S0045-7825(97)00204-1).
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.156 , pp. 171-178
    • Zou, G.1
  • 40
    • 0035362828 scopus 로고    scopus 로고
    • Hamiltonian system for orthotropic plate bending based on analogy theory
    • doi:10.1007/BF02916702
    • Yao WA, Su B, Zhong WX. 2001 Hamiltonian system for orthotropic plate bending based on analogy theory. Sci. China E, Technol. Sci. 44, 258-264. (doi:10.1007/BF02916702).
    • (2001) Sci. China E, Technol. Sci. , vol.44 , pp. 258-264
    • Yao, W.A.1    Su, B.2    Zhong, W.X.3
  • 41
    • 0035859061 scopus 로고    scopus 로고
    • Hamiltonian system based saint venant solutions for multilayered composite plane anisotropic plates
    • doi:10.1016/S0020-7683(00)00371-1
    • Yao WA, Yang HT. 2001 Hamiltonian system based Saint Venant solutions for multilayered composite plane anisotropic plates. Int. J. Solids Struct. 38, 5807-5817. (doi:10.1016/S0020-7683(00)00371-1).
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 5807-5817
    • Yao, W.A.1    Yang, H.T.2
  • 42
    • 33747064964 scopus 로고    scopus 로고
    • Theoretic solution of rectangular thin plate on foundation with four edges free by symplectic geometry method
    • doi:10.1007/s10483-006-0614-y
    • Zhong Y, Zhang Y. 2006 Theoretic solution of rectangular thin plate on foundation with four edges free by symplectic geometry method. Appl. Math. Mech. 27, 833-839. (doi:10.1007/s10483-006-0614-y).
    • (2006) Appl. Math. Mech. , vol.27 , pp. 833-839
    • Zhong, Y.1    Zhang, Y.2
  • 43
    • 33748537977 scopus 로고    scopus 로고
    • Hamiltonian systems of propagation of elastic waves and localized vibrations in the strip plate
    • doi:10.1016/j.ijsolstr.2006.01.011
    • Hu C, Fang XQ, Long G, Huang WH. 2006 Hamiltonian systems of propagation of elastic waves and localized vibrations in the strip plate. Int. J. Solids Struct. 43, 6568-6573. (doi:10.1016/j.ijsolstr.2006.01.011).
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 6568-6573
    • Hu, C.1    Fang, X.Q.2    Long, G.3    Huang, W.H.4
  • 44
    • 33947642005 scopus 로고    scopus 로고
    • On new symplectic elasticity approach for exact bending solutions of rectangular thin plates with two opposite sides simply supported
    • doi:10.1016/j.ijsolstr.2007.01.007
    • Lim CW, Cui S, Yao WA. 2007 On new symplectic elasticity approach for exact bending solutions of rectangular thin plates with two opposite sides simply supported. Int. J. Solids Struct. 44, 5396-5411. (doi:10.1016/j.ijsolstr. 2007.01.007).
    • (2007) Int. J. Solids Struct. , vol.44 , pp. 5396-5411
    • Lim, C.W.1    Cui, S.2    Yao, W.A.3
  • 45
    • 57649099155 scopus 로고    scopus 로고
    • Benchmark symplectic solutions for bending of corner supported rectangular thin plates
    • doi:10.1080/19373260701646407
    • Lim CW, Yao WA, Cui S. 2008 Benchmark symplectic solutions for bending of cornersupported rectangular thin plates. IES J. A, Civil Struct. Eng. 1, 106-115. (doi:10.1080/19373260701646407).
    • (2008) IES J. A, Civil Struct. Eng. , vol.1 , pp. 106-115
    • Lim, C.W.1    Yao, W.A.2    Cui, S.3
  • 46
    • 57649085804 scopus 로고    scopus 로고
    • On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
    • doi:10.1016/j.ijengsci.2008.08.003
    • Lim CW, Lü CF, Xiang Y, Yao WA. 2009 On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates. Int. J. Eng. Sci. 47, 131-140. (doi:10.1016/j.ijengsci.2008.08.003).
    • (2009) Int. J. Eng. Sci. , vol.47 , pp. 131-140
    • Lim, C.W.1    Lü, C.F.2    Xiang, Y.3    Yao, W.A.4
  • 47
    • 67249119471 scopus 로고    scopus 로고
    • Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach
    • doi:10.1016/j.mechrescom.2009.04.001
    • Zhong Y, Li R. 2009 Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach. Mech. Res. Commun. 36, 707-714. (doi:10.1016/j.mechrescom.2009.04.001).
    • (2009) Mech. Res. Commun. , vol.36 , pp. 707-714
    • Zhong, Y.1    Li, R.2
  • 48
    • 63249083339 scopus 로고    scopus 로고
    • On new symplectic approach for exact bending solutions of moderately thick rectangular plates with two opposite edges simply supported
    • doi:10.1016/j.ijsolstr.2009.02.001
    • Zhong Y, Li R, Liu YM, Tian B. 2009 On new symplectic approach for exact bending solutions of moderately thick rectangular plates with two opposite edges simply supported. Int. J. Solids Struct. 46, 2506-2513. (doi:10.1016/j. ijsolstr.2009.02.001).
    • (2009) Int. J. Solids Struct. , vol.46 , pp. 2506-2513
    • Zhong, Y.1    Li, R.2    Liu, Y.M.3    Tian, B.4
  • 49
    • 77953726269 scopus 로고    scopus 로고
    • Symplectic elasticity approach for free vibration of rectangular plates
    • Lim CW. 2010 Symplectic elasticity approach for free vibration of rectangular plates. Adv. Vib. Eng. 9, 159-163.
    • (2010) Adv. Vib. Eng. , vol.9 , pp. 159-163
    • Lim, C.W.1
  • 50
    • 79751525503 scopus 로고    scopus 로고
    • On a new symplectic geometry method for exact bending solutions of orthotropic rectangular plates with two opposite sides clamped
    • doi:10.1007/s00707-010-0381-y
    • Li R, Zhong Y. 2011 On a new symplectic geometry method for exact bending solutions of orthotropic rectangular plates with two opposite sides clamped. Acta Mech. 216, 333-343. (doi:10.1007/s00707-010-0381-y).
    • (2011) Acta Mech , vol.216 , pp. 333-343
    • Li, R.1    Zhong, Y.2
  • 51
    • 79952538798 scopus 로고    scopus 로고
    • On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates
    • doi:10.1016/j.mechrescom.2011.01.012
    • Li R, Zhong Y, Tian B. 2011 On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates. Mech. Res. Commun. 38, 111-116. (doi:10.1016/j.mechrescom.2011.01.012).
    • (2011) Mech. Res. Commun. , vol.38 , pp. 111-116
    • Li, R.1    Zhong, Y.2    Tian, B.3


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