Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF

被引：49
作者：
Xiang, Song [1 ]
Wang, Ke-Ming [1 ]
机构：
[1] Shenyang Inst Aeronaut Engn, Coll Aeroengine & Energy Engn, Shenyang 110136, Peoples R China
来源：
THIN-WALLED STRUCTURES | 2009年 / 47卷 / 03期
关键词：
Trigonometric shear deformation theory; Laminated composite plates; Free vibration; Inverse multiquadric radial basis functions; COMPUTATIONAL FLUID-DYNAMICS; FUNCTIONALLY GRADED PLATES; DATA APPROXIMATION SCHEME; RADIAL BASIS FUNCTIONS; HIGHER-ORDER THEORY; MESHLESS METHOD; BEAMS; FSDT;
D O I：
10.1016/j.tws.2008.07.007
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
Based on the trigonometric shear deformation theory for laminated beams, the differential governing equations of symmetric laminated composite plates are derived. The differential governing equations discretized by a meshless collocation method based on the inverse multiquadric radial basis function is used to predict the free vibration behavior of symmetric laminated composite plates. Natural frequencies are computed for various material parameters, geometry parameters of laminated plates, and are compared with some available published results. The influence of grid pattern, modulus ratio, and side-to-thickness ratio on natural frequencies is also investigated. Through numerical experiments, the high numerical accuracy and the good convergence of the trigonometric shear deformation theory discretized by the inverse multiquadric radial basis function for free vibration analysis of symmetric laminated composite plates are demonstrated. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：304 / 310
页数：7
相关论文
共 22 条
  • [1] Static and free vibration analysis of composite plates using spline finite strips with higher-order shear deformation
    Akhras, G
    Li, W
    [J]. COMPOSITES PART B-ENGINEERING, 2005, 36 (6-7) : 496 - 503
  • [2] A zigzag model for laminated composite beams
    Arya, H
    Shimpi, RP
    Naik, NK
    [J]. COMPOSITE STRUCTURES, 2002, 56 (01) : 21 - 24
  • [3] A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    Atluri, SN
    Zhu, T
    [J]. COMPUTATIONAL MECHANICS, 1998, 22 (02) : 117 - 127
  • [4] ELEMENT-FREE GALERKIN METHODS
    BELYTSCHKO, T
    LU, YY
    GU, L
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) : 229 - 256
  • [5] FASSHAUER GE, 1997, P 3 INT C CURV SURF, V2, P131
  • [6] Natural frequencies of functionally graded plates by a meshless method
    Ferreira, A. J. M.
    Batra, R. C.
    Roque, C. M. C.
    Qian, L. F.
    Jorge, R. M. N.
    [J]. COMPOSITE STRUCTURES, 2006, 75 (1-4) : 593 - 600
  • [7] A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
    Ferreira, AJM
    [J]. COMPOSITE STRUCTURES, 2003, 59 (03) : 385 - 392
  • [8] Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method
    Ferreira, AJM
    Batra, RC
    Roque, CMC
    Qian, LF
    Martins, PALS
    [J]. COMPOSITE STRUCTURES, 2005, 69 (04) : 449 - 457
  • [9] Analysis of composite plates by trigonometric shear deformation theory and multiquadrics
    Ferreira, AJM
    Roque, CMC
    Jorge, RMN
    [J]. COMPUTERS & STRUCTURES, 2005, 83 (27) : 2225 - 2237
  • [10] Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions
    Ferreira, AJM
    Roque, CMC
    Jorge, RMN
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (39-41) : 4265 - 4278
123