메뉴 건너뛰기




Volumn 90-91, Issue 1, 2012, Pages 107-115

Radial basis functions-differential quadrature collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's Zig-Zag theory

Author keywords

Buckling; Composites; Meshless methods; Plates; Vibrations

Indexed keywords

BUCKLING ANALYSIS; CARRERA'S UNIFIED FORMULATION; DIFFERENTIAL QUADRATURE; FREE VIBRATION; LAMINATED PLATE; LOCAL APPROXIMATION METHODS; MESH-LESS METHODS; MESHFREE; PLATES; RADIAL BASIS; RADIAL BASIS FUNCTION-BASED DIFFERENTIAL QUADRATURES; RADIAL BASIS FUNCTIONS; VIBRATIONS; ZIGZAG THEORY;

EID: 81855201865     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2011.10.003     Document Type: Article
Times cited : (34)

References (40)
  • 1
    • 0036488118 scopus 로고    scopus 로고
    • A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
    • DOI 10.1016/S0263-8223(02)00239-8, PII S0263822302002398
    • A.J.M. Ferreira A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates Composite Structures 59 2003 385 392 (Pubitemid 41167838)
    • (2003) Composite Structures , vol.59 , Issue.3 , pp. 385-392
    • Ferreira, A.J.M.1
  • 2
    • 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
  • 3
    • 0037436111 scopus 로고    scopus 로고
    • Local radial basis funcion-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
    • DOI 10.1016/S0045-7825(02)00618-7, PII S0045782502006187
    • C. Shu, H. Ding, and K.S. Yeo Local radial basis function-based differential quadrature method and its application to solve two dimensional incompressible Navier-Stokes equations Computer Methods in Applied Mechanics and Engineering 192 2003 941 954 (Pubitemid 36225326)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.7-8 , pp. 941-954
    • Shu, C.1    Ding, H.2    Yeo, K.S.3
  • 4
    • 34447544006 scopus 로고    scopus 로고
    • Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method
    • DOI 10.1016/j.jsv.2007.05.015, PII S0022460X07003665
    • W.X. Wu, C. Shu, and C.M. Wang Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method Journal of Sound and Vibration 306 2007 252 270 (Pubitemid 47069471)
    • (2007) Journal of Sound and Vibration , vol.306 , Issue.1-2 , pp. 252-270
    • Wu, W.X.1    Shu, C.2    Wang, C.M.3
  • 5
    • 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 Journal of Computational Physics 10 1972 40 52
    • (1972) Journal of Computational Physics , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 7
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • C. Shu, and B.E. Richards Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations International Journal for Numerical Methods in Fluids 15 1992 791 798 (Pubitemid 23557497)
    • (1992) International Journal for Numerical Methods in Fluids , vol.15 , Issue.7 , pp. 791-798
    • Shu Chang1    Richards Bryan, E.2
  • 8
    • 0141853928 scopus 로고    scopus 로고
    • Dqem for free vibration analysis of timoshenko beams on elastic foundations
    • P. Malekzadeh, G. Karami, and M. Farid Dqem for free vibration analysis of timoshenko beams on elastic foundations Computational Mechanics 31 2003 219 228
    • (2003) Computational Mechanics , vol.31 , pp. 219-228
    • Malekzadeh, P.1    Karami, G.2    Farid, M.3
  • 9
    • 6444234092 scopus 로고    scopus 로고
    • A semi-analytical DQEM for free vibration analysis of thick plates with two opposite edges simply supported
    • DOI 10.1016/j.cma.2004.05.005, PII S0045782504002452
    • P. Malekzadeh, G. Karami, and M. Farid A semi-analytical dqem for free vibration analysis of thick plates with two opposite edges simply supported Computer Methods in Applied Mechanics and Engineering 193 2004 4781 4796 (Pubitemid 39408001)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.45-47 , pp. 4781-4796
    • Malekzadeh, P.1    Karami, G.2    Farid, M.3
  • 10
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • C.W. Bert, and M. Malik Differential quadrature method in computational mechanics: a review Applied Mechanics Review 49 1 1996 1 28
    • (1996) Applied Mechanics Review , vol.49 , Issue.1 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 12
    • 0003895417 scopus 로고
    • 2nd Ed, Translated from the 2nd Russian Ed by S W Tsai and Cheron, Bordon and Breach
    • Lekhnitskii SG, Anisotropic Plates. 2nd Ed, Translated from the 2nd Russian Ed by S W Tsai and Cheron, Bordon and Breach, 1968.
    • (1968) Anisotropic Plates
    • Lekhnitskii, S.G.1
  • 13
    • 81855215451 scopus 로고
    • Fizmatzig, Moskwa; Translated from Russian, NASA TTF-118, (1964)
    • Ambartsumian S A, Anisotropic Plates. Fizmatzig, Moskwa; Translated from Russian, NASA TTF-118, (1964), 1961.
    • (1961) Anisotropic Plates
    • Ambartsumian, S.A.1
  • 14
    • 0003800066 scopus 로고
    • Translated from Russian T Cheron and Edited by J E Ashton Tech Pub Co
    • S.A. Ambartsumian, Theory of Anisotropic Plates, in: Translated from Russian T Cheron and Edited by J E Ashton Tech Pub Co, 1969.
    • (1969) Theory of Anisotropic Plates
    • Ambartsumian, S.A.1
  • 15
    • 0020155266 scopus 로고
    • Bending of laminated anisotropic shells by a shear deformable finite element
    • J.N. Reddy Bending of laminated anisotropic shells by a shear deformable finite element Fibre Science and Technology 17 1982 9 24
    • (1982) Fibre Science and Technology , vol.17 , pp. 9-24
    • Reddy, J.N.1
  • 16
    • 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 Applied Mechanics Reviews 56 2003 287 308 (Pubitemid 40205918)
    • (2003) Applied Mechanics Reviews , vol.56 , Issue.3 , pp. 287-308
    • Carrera, E.1
  • 17
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane response
    • H. Murakami Laminated composite plate theory with improved in-plane response Journal of Applied Mechanics 53 1986 661 666 (Pubitemid 16630969)
    • (1986) Journal of Applied Mechanics, Transactions ASME , vol.53 , Issue.3 , pp. 661-666
    • Murakami, H.1
  • 18
    • 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 Archiv Comput Methods 10 3 2003
    • (2003) Archiv Comput Methods , vol.10 , Issue.3
    • Carrera, E.1
  • 19
    • 13344279435 scopus 로고    scopus 로고
    • Developments, ideas and evaluations based upon the Reissner's mixed theorem in the modeling of multilayered plates and shells
    • E. Carrera Developments, ideas and evaluations based upon the Reissner's mixed theorem in the modeling of multilayered plates and shells Applied Mechanics Review 54 2001 301 329
    • (2001) Applied Mechanics Review , Issue.54 , pp. 301-329
    • Carrera, E.1
  • 20
    • 1842453722 scopus 로고    scopus 로고
    • On the use of Murakami's zig-zag function in the modeling of layered plates and shells
    • E. Carrera On the use of Murakami's zig-zag function in the modeling of layered plates and shells Computers & Structures 82 2004 541 554
    • (2004) Computers & Structures , Issue.82 , pp. 541-554
    • Carrera, E.1
  • 21
    • 63449131763 scopus 로고    scopus 로고
    • Improved bending analysis of sandwich plate by using zig-zag function
    • S. Brischetto, E. Carrera, and L. Demasi Improved bending analysis of sandwich plate by using zig-zag function Composite Structures 89 2009 408 415
    • (2009) Composite Structures , vol.89 , pp. 408-415
    • Brischetto, S.1    Carrera, E.2    Demasi, L.3
  • 22
    • 20944445651 scopus 로고    scopus 로고
    • Refined multilayered plate elements based on Murakami zig-zag functions
    • DOI 10.1016/j.compstruct.2004.08.036, PII S0263822304003010
    • L. Demasi Refined multilayered plate elements based on Murakami zig-zag functions Composite Structures 70 2005 308 316 (Pubitemid 40869996)
    • (2005) Composite Structures , vol.70 , Issue.3 , pp. 308-316
    • Demasi, L.1
  • 23
    • 78349312305 scopus 로고    scopus 로고
    • Analysis of thick isotropic and cross-ply laminated plates by radial basis functions and unified formulation
    • A.J.M. Ferreira, C.C. Roque, E. Carrera, and M. Cinefra Analysis of thick isotropic and cross-ply laminated plates by radial basis functions and unified formulation Journal of Sound and Vibration 330 2011 771 787
    • (2011) Journal of Sound and Vibration , Issue.330 , pp. 771-787
    • Ferreira, A.J.M.1    Roque, C.C.2    Carrera, E.3    Cinefra, M.4
  • 24
    • 79955485450 scopus 로고    scopus 로고
    • RBF-FD collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's zig-zag theory
    • J.D. Rodrigues, C.C. Roque, A.J.M. Ferreira, E. Carrera, and M. Cinefra RBF-FD collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's zig-zag theory Composite Structures 93 2011 1613 1620
    • (2011) Composite Structures , Issue.93 , pp. 1613-1620
    • Rodrigues, J.D.1    Roque, C.C.2    Ferreira, A.J.M.3    Carrera, E.4    Cinefra, M.5
  • 25
    • 34247581039 scopus 로고
    • Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
    • S. Srinivas, and A.K. Rao Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates International Journal of Solids and Structures 6 1970 1463 1481
    • (1970) International Journal of Solids and Structures , Issue.6 , pp. 1463-1481
    • Srinivas, S.1    Rao, A.K.2
  • 26
    • 0037135315 scopus 로고    scopus 로고
    • Differential quadrature-layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports
    • DOI 10.1016/S0045-7825(02)00309-2, PII S0045782502003092
    • K.M. Liew, T.Y. Ng, and J.Z. Zhang Differential quadrature-layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports Computer Methods in Applied Mechanics and Engineering 191 2002 3811 3832 (Pubitemid 34853847)
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.35 , pp. 3811-3832
    • Liew, K.M.1    Ng, T.Y.2    Zhang, J.Z.3
  • 27
    • 0043021903 scopus 로고    scopus 로고
    • Three-dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modelling
    • DOI 10.1002/nme.746
    • J.Z. Zhang, T.Y. Ng, and K.M. Liew Three-dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modelling International Journal for Numerical Methods in Engineering 57 2003 1819 1844 (Pubitemid 37002503)
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , Issue.13 , pp. 1819-1844
    • Zhang, J.Z.1    Ng, T.Y.2    Liew, K.M.3
  • 28
    • 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 International Journal of Numerical Methods in Engineering 39 1996 1797 1820 (Pubitemid 126648002)
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , Issue.11 , pp. 1797-1820
    • Carrera, E.1
  • 29
    • 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 Mechanics of Composite Materials and Structures 4 1997 69 94
    • (1997) Mechanics of Composite Materials and Structures , vol.4 , pp. 69-94
    • Carrera, E.1    Kroplin, B.2
  • 30
    • 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 Journal 36 1998 830 839 (Pubitemid 128585677)
    • (1998) AIAA Journal , vol.36 , Issue.5 , pp. 830-839
    • Carrera, E.1
  • 32
    • 0019549085 scopus 로고
    • A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates
    • DOI 10.1016/0029-5493(81)90001-7
    • J.N. Reddy, and W.C. Chao A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates Nuclear Engineering and Design 64 1981 153 167 (Pubitemid 12521425)
    • (1981) Nuclear Engineering and Design , vol.64 , Issue.2 , pp. 153-167
    • Reddy, J.N.1    Chao, W.C.2
  • 33
    • 0014728757 scopus 로고
    • Exact solutions for rectangular bidirectional composites and sandwich plates
    • N.J. Pagano Exact solutions for rectangular bidirectional composites and sandwich plates Journal of Composite Materials 4 1970 20 34
    • (1970) Journal of Composite Materials , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 34
    • 0023834793 scopus 로고
    • Analysis of symmetric cross-ply 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 Composite Structures 9 1988 259 277 (Pubitemid 18623963)
    • (1988) Composite Structures , vol.9 , Issue.4 , pp. 259-277
    • Khdeir, A.A.1    Librescu, L.2
  • 35
    • 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 Computer Methods in Applied Mechanics and Engineering 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
  • 36
    • 0023834793 scopus 로고
    • Analysis of symmetric cross-ply 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 Composite Structures 9 1988 259 277 (Pubitemid 18623963)
    • (1988) Composite Structures , vol.9 , Issue.4 , pp. 259-277
    • Khdeir, A.A.1    Librescu, L.2
  • 37
    • 0037262952 scopus 로고    scopus 로고
    • Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method
    • K.M. Liew, and Y.Q. Huang Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method International Journal of Mechanical Sciences 45 2003 95 114
    • (2003) International Journal of Mechanical Sciences , vol.45 , pp. 95-114
    • Liew, K.M.1    Huang, Y.Q.2
  • 38
    • 0347300455 scopus 로고    scopus 로고
    • Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates
    • DOI 10.1016/j.cma.2003.10.002
    • K.M. Liew, X.L. Chen, and J.N. Reddy Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates Computer Methods in Applied Mechanics and Engineering 193 2004 205 224 (Pubitemid 38086750)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.3-5 , pp. 205-224
    • Liew, K.M.1    Chen, X.L.2    Reddy, J.N.3
  • 39
    • 3242762386 scopus 로고    scopus 로고
    • Mesh-free radial point interpolation method for the buckling analysis of Mindlin plates subjected to in-plane point loads
    • DOI 10.1002/nme.1027
    • K.M. Liew, and X.L. Chen Mesh-free radial point interpolation method for the buckling analysis of Mindlin plates subjected to in-plane point loads International Journal of Numerical Methods in Engineering 60 2004 1861 1877 (Pubitemid 38978686)
    • (2004) International Journal for Numerical Methods in Engineering , vol.60 , Issue.11 , pp. 1861-1877
    • Liew, K.M.1    Chen, X.L.2
  • 40
    • 0742270392 scopus 로고    scopus 로고
    • Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method
    • DOI 10.1016/j.ijsolstr.2003.10.022
    • K.M. Liew, and X.L. Chen Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method International Journal of Solids and Structures 41 2004 1677 1695 (Pubitemid 38149671)
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.5-6 , pp. 1677-1695
    • Liew, K.M.1    Chen, X.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.