AN IMPROVED MESHLESS METHOD FOR THE STATIC AND VIBRATION ANALYSIS OF PLATES

被引：16
|
作者：
Rodrigues, J. D. [1 ]
Roque, C. M. C. [1 ]
Ferreira, A. J. M. [1 ]
机构：
[1] Univ Porto, Fac Engn, INEGI, P-4200465 Oporto, Portugal
来源：
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES | 2013年 / 41卷 / 01期
关键词：
Meshless methods; Plates; Vibrations; RADIAL BASIS FUNCTIONS; DATA APPROXIMATION SCHEME; HIGHER-ORDER SHEAR; LAMINATED PLATES; BUCKLING ANALYSIS; THICK PLATES; MULTIQUADRICS; COMPUTATION; FORMULATION;
D O I：
10.1080/15397734.2012.680348
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An application of a meshless technique for the static and vibration analysis of plates is presented in this paper. The method is based on the radial basis functions-QR (RBF-QR) algorithm. Static deformations and free vibration analysis of plates are obtained by Gaussian RBF-QR technique, previously proposed by Fornberg and Piret (2007) for interpolation problems. Circular and square plates are analyzed considering free-edge, simply-supported, and fully-clamped boundary conditions. The presented technique can be applied to any geometry and node sets embedded in the 2D unitary disk. The RBF-QR approach is stable for decreasing values of the shape parameter, corresponding to flat RBFs and the conversion to polar coordinates brings an extra improvement in precision. The method produces highly accurate displacements, natural frequencies, and modes of vibrations.
引用
收藏
页码：21 / 39
页数：19
相关论文
共 50 条
  • [31] An element for static, vibration and buckling analysis of thick laminated plates
    Liu, IW
    COMPUTERS & STRUCTURES, 1996, 59 (06) : 1051 - 1058
  • [32] The static and free vibration analysis of a nonhomogeneous moderately thick plate using the meshless local radial point interpolation method
    Xia, P.
    Long, S. Y.
    Cui, H. X.
    Li, G. Y.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (06) : 770 - 777
  • [33] Vibration Analysis of angle-ply Laminated Plates with RBF based Meshless Approach
    Shukla, Vivekanand
    Vishwakarma, P. C.
    Singh, Jigyasa
    SIngh, Jeeoot
    MATERIALS TODAY-PROCEEDINGS, 2019, 18 : 4605 - 4612
  • [34] Analysis of rectangular laminated composite plates via FSDT meshless method
    Wang, J
    Liew, KM
    Tan, MJ
    Rajendran, S
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2002, 44 (07) : 1275 - 1293
  • [35] Large deflection analysis of flexible plates by the meshless finite point method
    Bitaraf, M.
    Mohammadi, S.
    THIN-WALLED STRUCTURES, 2010, 48 (03) : 200 - 214
  • [36] Analysis of functionally graded plates by meshless method: A purely analytical formulation
    Wen, P. H.
    Aliabadi, M. H.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (05) : 639 - 650
  • [37] A BEM-based meshless method for elastic buckling analysis of plates
    Chinnaboon, Boonme
    Chucheepsakul, Somchai
    Katsikadelis, John T.
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2007, 7 (01) : 81 - 99
  • [38] Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates
    Aswathy, M.
    Arun, C. O.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2021, 18 (10)
  • [39] Three dimensional static and dynamic analysis of thick functionally graded plates by the meshless local Petrov-Galerkin (MLPG) method
    Mojdehi, A. Rezaei
    Darvizeh, A.
    Basti, A.
    Rajabi, H.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, 35 (11) : 1168 - 1180
  • [40] Static and dynamic analysis of laminated plates based on an unconstrained third order theory and using a radial point interpolator meshless method
    Dinis, L. M. J. S.
    Natal Jorge, R. M.
    Belinha, J.
    COMPUTERS & STRUCTURES, 2011, 89 (19-20) : 1771 - 1784
12345