Radial basis functions collocation for the bending and free vibration analysis of laminated plates using the Reissner-Mixed Variational Theorem

被引:36
|
作者
Ferreira, A. J. M. [1 ]
Carrera, E. [3 ]
Cinefra, M. [3 ]
Roque, C. M. C. [2 ]
机构
[1] Univ Porto, Dept Engn Mecan, Fac Engn, P-4200465 Oporto, Portugal
[2] Univ Porto, INEGI, Fac Engn, P-4200465 Oporto, Portugal
[3] Politecn Torino, Dept Aeronaut & Aerosp Engn, I-10129 Turin, Italy
关键词
Meshless methods; Laminated plates; Vibrations; MESHFREE THIN SHELL; HIGHER-ORDER THEORY; SHEAR DEFORMATION; BUCKLING ANALYSIS; ZIGZAG; FORMULATION;
D O I
10.1016/j.euromechsol.2012.10.012
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, we combine the Carrera's Unified Formulation CUF (E. Carrera. Theories and Finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and bench-marking. Arch. Comput. Meth. Eng., 10:215-297, 2003) and a radial basis function (RBF) collocation technique for predicting the static deformations and free vibrations behavior of thin and thick cross-ply laminated plates. For the first time, the Reissner-Mixed Variational Theorem is used together with the RBF collocation to achieve a highly accurate technique. The accuracy and efficiency of this collocation technique for static and vibration problems are demonstrated through numerical examples. (C) 2012 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:104 / 112
页数:9
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