메뉴 건너뛰기




Volumn 58, Issue , 2014, Pages 544-552

Analysis of thick isotropic and cross-ply laminated plates by generalized differential quadrature method and a Unified Formulation

Author keywords

A. Laminates; B. Vibration; C. Computational modelling

Indexed keywords

B. VIBRATION; CARRERA UNIFIED FORMULATIONS; COMPUTATIONAL MODELLING; CROSS-PLY LAMINATED PLATES; FREE VIBRATION BEHAVIOR; GENERALIZED DIFFERENTIAL QUADRATURE; GENERALIZED DIFFERENTIAL QUADRATURE METHODS; NUMERICAL EXPERIMENTS;

EID: 84890359719     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2013.10.088     Document Type: Article
Times cited : (120)

References (55)
  • 1
    • 0040657378 scopus 로고    scopus 로고
    • Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates
    • E. Carrera, and B. Kroplin Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates Mech Compos Mater Struct 4 1997 69 94
    • (1997) Mech Compos Mater Struct , vol.4 , pp. 69-94
    • Carrera, E.1    Kroplin, B.2
  • 2
    • 0000483402 scopus 로고    scopus 로고
    • Evaluation of layerwise mixed theories for laminated plates analysis
    • E. Carrera Evaluation of layer-wise mixed theories for laminated plate analysis AIAA J 36 1998 830 839 (Pubitemid 128585677)
    • (1998) AIAA Journal , vol.36 , Issue.5 , pp. 830-839
    • Carrera, E.1
  • 3
    • 13344279435 scopus 로고    scopus 로고
    • Developments, ideas, and evaluations based upon Reissner's mixed variational theorem in the modelling of multilayered plates and shells
    • E. Carrera Developments, ideas, and evaluations based upon Reissner's mixed variational theorem in the modelling of multilayered plates and shells Appl Mech Rev 54 2001 301 329
    • (2001) Appl Mech Rev , vol.54 , pp. 301-329
    • Carrera, E.1
  • 4
    • 0742281181 scopus 로고    scopus 로고
    • Historical review of Zig-Zag theories for multilayered plates and shells
    • DOI 10.1115/1.1557614
    • E. Carrera Historical review of zig-zag theories for multilayered plates and shells Appl Mech Rev 56 2003 287 308 (Pubitemid 40205918)
    • (2003) Applied Mechanics Reviews , vol.56 , Issue.3 , pp. 287-308
    • Carrera, E.1
  • 5
    • 84877677404 scopus 로고    scopus 로고
    • Free vibration analysis of sandwich plates with anisotropic face sheets in thermal environment by using the hierarchical trigonometric Ritz formulation
    • F.A. Fazzolari, and E. Carrera Free vibration analysis of sandwich plates with anisotropic face sheets in thermal environment by using the hierarchical trigonometric Ritz formulation Compos Part B Eng 50 2013 67 81
    • (2013) Compos Part B Eng , vol.50 , pp. 67-81
    • Fazzolari, F.A.1    Carrera, E.2
  • 6
    • 0020162727 scopus 로고
    • Numerical analysis of thick plates
    • T. Kant Numerical analysis of thick plates Comput Method Appl Mech Eng 31 1982 1 18
    • (1982) Comput Method Appl Mech Eng , vol.31 , pp. 1-18
    • Kant, T.1
  • 8
    • 84986998948 scopus 로고
    • A high-order theory of plate deformation, Part I: Homogeneous plates
    • K.H. Lo, R.M. Christensen, and E.M. Wu A high-order theory of plate deformation, Part I: Homogeneous plates J Appl Mech 44 7 1977 663 668
    • (1977) J Appl Mech , vol.44 , Issue.7 , pp. 663-668
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 9
    • 84984553958 scopus 로고
    • A high-order theory of plate deformation. Part II: Laminated plates
    • K.H. Lo, R.M. Christensen, and E.M. Wu A high-order theory of plate deformation. Part II: Laminated plates J Appl Mech 44 4 1977 669 676
    • (1977) J Appl Mech , vol.44 , Issue.4 , pp. 669-676
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 10
    • 0036164688 scopus 로고    scopus 로고
    • Higher-order piezoelectric plate theory derived from a three-dimensional variational principle
    • R.C. Batra, and S. Vidoli Higher order piezoelectric plate theory derived from a three-dimensional variational principle AIAA J 40 2002 91 104 (Pubitemid 34120145)
    • (2002) AIAA Journal , vol.40 , Issue.1 , pp. 91-104
    • Batra, R.C.1    Vidoli, S.2
  • 11
    • 0030168293 scopus 로고    scopus 로고
    • C° reissner-mindlin multilayered plate elements including zig-zag and interlaminar stress continuity
    • 0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stress continuity Int J Numer Method Eng 39 1996 1797 1820 (Pubitemid 126648002)
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , Issue.11 , pp. 1797-1820
    • Carrera, E.1
  • 12
    • 0023589748 scopus 로고
    • Comprehensive analysis of the state of stress of elastic anisotropic flat plates using refined theories
    • L. Librescu, A.A. Khdeir, and J.N. Reddy A comprehensive analysis of the state of stress of elastic anisotropic flat plates using refined theories Acta Mech 70 1987 57 81 (Pubitemid 18561249)
    • (1987) Acta Mechanica , vol.70 , Issue.1-4 , pp. 57-81
    • Librescu, L.1    Khdeir, A.A.2    Reddy, J.N.3
  • 14
    • 77950690147 scopus 로고    scopus 로고
    • A generalized higher-order theory for multi-layered, shear-deformable composite plates
    • L. Fiedler, W. Lacarbonara, and F. Vestroni A generalized higher-order theory for multi-layered, shear-deformable composite plates Acta Mech 209 2010 85 98
    • (2010) Acta Mech , vol.209 , pp. 85-98
    • Fiedler, L.1    Lacarbonara, W.2    Vestroni, F.3
  • 15
    • 78651432241 scopus 로고    scopus 로고
    • Effects of thickness stretching in functionally graded plates and shells
    • E. Carrera, S. Brischetto, M. Cinefra, and M. Soave Effects of thickness stretching in functionally graded plates and shells Compos Part B Eng 42 2011 123 133
    • (2011) Compos Part B Eng , vol.42 , pp. 123-133
    • Carrera, E.1    Brischetto, S.2    Cinefra, M.3    Soave, M.4
  • 16
    • 79954443695 scopus 로고    scopus 로고
    • Hierarchical modelling of doubly curved laminated composite shells under distributed and localised loadings
    • G. Giunta, F. Biscani, S. Belouettar, and E. Carrera Hierarchical modelling of doubly curved laminated composite shells under distributed and localised loadings Compos Part B Eng 42 2011 682 691
    • (2011) Compos Part B Eng , vol.42 , pp. 682-691
    • Giunta, G.1    Biscani, F.2    Belouettar, S.3    Carrera, E.4
  • 19
    • 84877805644 scopus 로고    scopus 로고
    • Isogeometric analysis of functionally graded plates using higher-order shear deformation theory
    • L.V. Tran, A.J.M. Ferreira, and H. Nguyen-Xuan Isogeometric analysis of functionally graded plates using higher-order shear deformation theory Compos Part B Eng 51 2013 368 383
    • (2013) Compos Part B Eng , vol.51 , pp. 368-383
    • Tran, L.V.1    Ferreira, A.J.M.2    Nguyen-Xuan, H.3
  • 21
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • R.E. Bellman, B.G. Kashef, and J. Casti Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations J Comput Phys 10 1972 40 52
    • (1972) J Comput Phys , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 22
    • 0042229158 scopus 로고    scopus 로고
    • Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method
    • A.J.M. Ferreira, C.M.C. Roque, and P.A.L.S. Martins Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method Composites: Part B 34 2003 627 636
    • (2003) Composites: Part B , vol.34 , pp. 627-636
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Martins, P.A.L.S.3
  • 23
    • 23944521602 scopus 로고    scopus 로고
    • Analysis of composite plates using a layerwise theory and multiquadrics discretization
    • DOI 10.1080/15376490490493952
    • A.J.M. Ferreira Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization Mech Adv Mater Struct 12 2 2005 99 112 (Pubitemid 41673172)
    • (2005) Mechanics of Advanced Materials and Structures , vol.12 , Issue.2 , pp. 99-112
    • Ferreira, A.J.M.1
  • 24
    • 23944473247 scopus 로고    scopus 로고
    • Modelling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions
    • DOI 10.1016/j.compositesb.2005.05.003, PII S1359836805000685
    • C.M.C. Roque, A.J.M. Ferreira, and R.M.N. Jorge Modelling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions Compos Part B Eng 36 2005 559 572 (Pubitemid 41203570)
    • (2005) Composites Part B: Engineering , vol.36 , Issue.8 , pp. 559-572
    • Roque, C.M.C.1    Ferreira, A.J.M.2    Jorge, R.M.N.3
  • 26
    • 67949112682 scopus 로고    scopus 로고
    • Vibration analysis of functionally graded conical, cylindrical and annular shell structures with a four-parameter power-law distribution
    • F. Tornabene Vibration analysis of functionally graded conical, cylindrical and annular shell structures with a four-parameter power-law distribution Comput Method Appl Mech Eng 198 2009 2911 2935
    • (2009) Comput Method Appl Mech Eng , vol.198 , pp. 2911-2935
    • Tornabene, F.1
  • 27
    • 29744441365 scopus 로고    scopus 로고
    • Vibration analysis of damaged circular arches with varying cross-section
    • E. Viola, and F. Tornabene Vibration analysis of damaged circular arches with varying cross-section Struct Integr Durab (SID-SDHM) 1 2005 155 169 (Pubitemid 43024470)
    • (2005) SID Structural Integrity and Durability , vol.1 , Issue.2 , pp. 155-169
    • Viola, E.1    Tornabene, F.2
  • 28
    • 43049179161 scopus 로고    scopus 로고
    • Vibration analysis of conical shell structures using GDQ method
    • E. Viola, and F. Tornabene Vibration analysis of conical shell structures using GDQ method Far East J Appl Math 25 2006 23 39
    • (2006) Far East J Appl Math , vol.25 , pp. 23-39
    • Viola, E.1    Tornabene, F.2
  • 29
    • 34249023979 scopus 로고    scopus 로고
    • Vibration analysis of spherical structural elements using the GDQ method
    • DOI 10.1016/j.camwa.2006.03.039, PII S0898122107001228
    • F. Tornabene, and E. Viola Vibration analysis of spherical structural elements using the GDQ method Comput Math Appl 53 2007 1538 1560 (Pubitemid 46783384)
    • (2007) Computers and Mathematics with Applications , vol.53 , Issue.10 , pp. 1538-1560
    • Tornabene, F.1    Viola, E.2
  • 30
    • 33749254764 scopus 로고    scopus 로고
    • Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches
    • DOI 10.1016/j.jsv.2006.07.001, PII S0022460X06005529
    • E. Viola, M. Dilena, and F. Tornabene Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches J Sound Vib 299 2007 143 163 (Pubitemid 44485703)
    • (2007) Journal of Sound and Vibration , vol.299 , Issue.1-2 , pp. 143-163
    • Viola, E.1    Dilena, M.2    Tornabene, F.3
  • 31
    • 50549083723 scopus 로고    scopus 로고
    • 2-D solution for free vibrations of parabolic shells using generalized differential quadrature method
    • F. Tornabene, and E. Viola 2-D solution for free vibrations of parabolic shells using generalized differential quadrature method Euro J Mech - A/Solids 27 2008 1001 1102
    • (2008) Euro J Mech - A/Solids , vol.27 , pp. 1001-1102
    • Tornabene, F.1    Viola, E.2
  • 32
    • 79955484706 scopus 로고    scopus 로고
    • 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution
    • F. Tornabene 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution Compos Struct 93 2011 1854 1876
    • (2011) Compos Struct , vol.93 , pp. 1854-1876
    • Tornabene, F.1
  • 33
    • 79956100488 scopus 로고    scopus 로고
    • Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-The-Thickness deformations
    • A.J.M. Ferreira, E. Carrera, M. Cinefra, C.M.C. Roque, and O. Polit Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations Compos Part B Eng 42 2011 1276 1284
    • (2011) Compos Part B Eng , vol.42 , pp. 1276-1284
    • Ferreira, A.J.M.1    Carrera, E.2    Cinefra, M.3    Roque, C.M.C.4    Polit, O.5
  • 35
    • 84859461259 scopus 로고    scopus 로고
    • Laminated composite rectangular and annular plates: A GDQ solution for static analysis with a posteriori shear and normal stress recovery
    • F. Tornabene, A. Liverani, and G. Caligiana Laminated composite rectangular and annular plates: a GDQ solution for static analysis with a posteriori shear and normal stress recovery Compos Part B Eng 43 2012 1847 1872
    • (2012) Compos Part B Eng , vol.43 , pp. 1847-1872
    • Tornabene, F.1    Liverani, A.2    Caligiana, G.3
  • 36
    • 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 2012 711 725
    • (2012) Compos Part B Eng , vol.43 , 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
  • 37
    • 84868136481 scopus 로고    scopus 로고
    • General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels
    • E. Viola, F. Tornabene, and N. Fantuzzi General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels Compos Struct 95 2013 639 666
    • (2013) Compos Struct , vol.95 , pp. 639-666
    • Viola, E.1    Tornabene, F.2    Fantuzzi, N.3
  • 38
    • 84875774683 scopus 로고    scopus 로고
    • Static analysis of completely doubly-curved laminated shells and panels using general higher-order shear deformation theories
    • E. Viola, F. Tornabene, and N. Fantuzzi Static analysis of completely doubly-curved laminated shells and panels using general higher-order shear deformation theories Compos Struct 101 2013 59 93
    • (2013) Compos Struct , vol.101 , pp. 59-93
    • Viola, E.1    Tornabene, F.2    Fantuzzi, N.3
  • 39
    • 84879456569 scopus 로고    scopus 로고
    • General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels
    • F. Tornabene, E. Viola, and N. Fantuzzi General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels Compos Struct 104 2013 94 117
    • (2013) Compos Struct , vol.104 , pp. 94-117
    • Tornabene, F.1    Viola, E.2    Fantuzzi, N.3
  • 40
    • 84883087535 scopus 로고    scopus 로고
    • Generalized differential quadrature finite element method for cracked composite structures of arbitrary shape
    • E. Viola, F. Tornabene, and N. Fantuzzi Generalized differential quadrature finite element method for cracked composite structures of arbitrary shape Compos Struct 106 2013 815 834
    • (2013) Compos Struct , vol.106 , pp. 815-834
    • Viola, E.1    Tornabene, F.2    Fantuzzi, N.3
  • 41
    • 84883078653 scopus 로고    scopus 로고
    • Radial basis function method applied to doubly-curved laminated composite shells and panels with a general higher-order equivalent single layer theory
    • F. Tornabene, N. Fantuzzi, E. Viola, and A.J.M. Ferreira Radial basis function method applied to doubly-curved laminated composite shells and panels with a general higher-order equivalent single layer theory Compos Part B Eng 55 2013 642 659
    • (2013) Compos Part B Eng , vol.55 , pp. 642-659
    • Tornabene, F.1    Fantuzzi, N.2    Viola, E.3    Ferreira, A.J.M.4
  • 42
    • 84888298148 scopus 로고    scopus 로고
    • Winkler-Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels
    • (in press)
    • F. Tornabene, N. Fantuzzi, E. Viola, and J.N. Reddy Winkler-Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels Compos Part B Eng 2013 < http://dx.doi.org/10.1016/j.compositesb.2013.06.020 > (in press)
    • (2013) Compos Part B Eng
    • Tornabene, F.1    Fantuzzi, N.2    Viola, E.3    Reddy, J.N.4
  • 43
    • 84885619885 scopus 로고    scopus 로고
    • Analysis of sandwich plates by generalized differential quadrature method
    • (Article ID 964367)
    • A.J.M. Ferreira, E. Viola, F. Tornabene, N. Fantuzzi, and A.M. Zenkour Analysis of sandwich plates by generalized differential quadrature method Math Prob Eng 2013 1 22 < http://dx.doi.org/10.1155/2013/964367 > (Article ID 964367)
    • (2013) Math Prob Eng , pp. 1-22
    • Ferreira, A.J.M.1    Viola, E.2    Tornabene, F.3    Fantuzzi, N.4    Zenkour, A.M.5
  • 44
    • 84889661351 scopus 로고    scopus 로고
    • Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method
    • F. Tornabene, N. Fantuzzi, E. Viola, and E. Carrera Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method Compos Struct 107 2014 675 697
    • (2014) Compos Struct , vol.107 , pp. 675-697
    • Tornabene, F.1    Fantuzzi, N.2    Viola, E.3    Carrera, E.4
  • 45
    • 84867498539 scopus 로고    scopus 로고
    • 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
    • A.M.A. Neves, A.J.M. Ferreira, E. Carrera, M. Cinefra, C.M.C. Roque, and R.M.N. Jorge 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 Compos Part B Eng 44 2013 657 674
    • (2013) Compos Part B Eng , vol.44 , pp. 657-674
    • Neves, A.M.A.1    Ferreira, A.J.M.2    Carrera, E.3    Cinefra, M.4    Roque, C.M.C.5    Jorge, R.M.N.6
  • 46
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear in flexural motions of isotropic elastic plates
    • R.D. Mindlin Influence of rotary inertia and shear in flexural motions of isotropic elastic plates J Appl Mech 18 1951 31 38
    • (1951) J Appl Mech , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 47
    • 0019319325 scopus 로고
    • Rayleigh-ritz vibration analysis of mindlin plates
    • D.J. Dawe, and O.L. Roufaeil Rayleigh-ritz vibration analysis of mindlin plates J Sound Vib 69 3 1980 345 359 (Pubitemid 11436200)
    • (1980) Journal of Sound and Vibration , vol.63 , Issue.3 , pp. 345-359
    • Dawe, D.J.1    Roufaeil, O.L.2
  • 48
    • 3242688090 scopus 로고    scopus 로고
    • Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method
    • K.M. Liew, J. Wang, T.Y. Ng, and M.J. Tan Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method J Sound Vib 276 2004 997 1017
    • (2004) J Sound Vib , vol.276 , pp. 997-1017
    • Liew, K.M.1    Wang, J.2    Ng, T.Y.3    Tan, M.J.4
  • 50
    • 0028762911 scopus 로고
    • Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory
    • G. Akhras, M.S. Cheung, and W. Lin Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory Comput Struct 52 3 1994 471 477
    • (1994) Comput Struct , vol.52 , Issue.3 , pp. 471-477
    • Akhras, G.1    Cheung, M.S.2    Lin, W.3
  • 52
    • 0019549085 scopus 로고
    • A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates
    • J.N. Reddy, and W.C. Chao A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates Nucl Eng Des 64 1981 53 167
    • (1981) Nucl Eng des , vol.64 , pp. 53-167
    • Reddy, J.N.1    Chao, W.C.2
  • 53
    • 0014728757 scopus 로고
    • Exact solutions for rectangular bidirectional composites and sandwich plates
    • N.J. Pagano Exact solutions for rectangular bidirectional composites and sandwich plates J Compos Mater 4 1970 20 34
    • (1970) J Compos Mater , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 54
    • 0023834793 scopus 로고
    • Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory: Part II - Buckling and free vibration
    • DOI 10.1016/0263-8223(88)90048-7
    • A.A. Khdeir, and L. Librescu Analysis of symmetric cross-ply elastic plates using a higher-order theory. Part II: Buckling and free vibration Compos Struct 9 1988 259 277 (Pubitemid 18623963)
    • (1988) Composite Structures , vol.9 , Issue.4 , pp. 259-277
    • Khdeir, A.A.1    Librescu, L.2
  • 55
    • 0037981478 scopus 로고    scopus 로고
    • Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method
    • DOI 10.1016/S0045-7825(03)00238-X
    • K.M. Liew, Y.Q. Huang, and J.N. Reddy Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method Comput Method Appl Mech Eng 192 2003 2203 2222 (Pubitemid 36669470)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.19 , pp. 2203-2222
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.