RBF-Based Meshless Method for Large Deflection of Elastic Thin Rectangular Plates with Boundary Conditions Involving Free Edges

被引:5
作者
Al-Tholaia, Mohammed M. Hussein [1 ]
Al-Gahtani, Husain Jubran [1 ]
机构
[1] KFUPM, Civil & Environm Engn Dept, Dhahran 31261, Saudi Arabia
关键词
RADIAL BASIS FUNCTIONS; DATA APPROXIMATION SCHEME; MULTIQUADRICS; EQUATIONS; FORM;
D O I
10.1155/2016/6489375
中图分类号
T [工业技术];
学科分类号
120111 [工业工程];
摘要
An RBF-based meshless method is presented for the analysis of thin plates undergoing large deflection. The method is based on collocation with the multiquadric radial basis function (MQ-RBF). In the proposed method, the resulting coupled nonlinear equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method are verified through several numerical examples. The inclusion of the free edge boundary condition proves that this method is accurate and efficient in handling such complex boundary value problems.
引用
收藏
页数:10
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共 32 条
[1]
RBF meshless method for large deflection of thin plates with immovable edges [J].
Al-Gahtani, Husain J. ;
Naffa'a, Mahmoud .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (02) :176-183
[2]
RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations [J].
Al-Tholaia, Mohammed M. Hussein ;
Al-Gahtani, Husain Jubran .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 51 :146-155
[3]
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].
Atluri, SN ;
Zhu, T .
COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127
[4]
Augural C., 1999, STRESSES PLATES SHEL
[5]
ELEMENT-FREE GALERKIN METHODS [J].
BELYTSCHKO, T ;
LU, YY ;
GU, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256
[6]
A simplified method for elastic large deflection analysis of plates and stiffened panels due to local buckling [J].
Byklum, E ;
Amdahl, J .
THIN-WALLED STRUCTURES, 2002, 40 (11) :925-953
[7]
Large deflection analyses of skew plates using hybrid/mixed finite element method [J].
Duan, M ;
Mahendran, M .
COMPUTERS & STRUCTURES, 2003, 81 (13) :1415-1424
[8]
AN EFFICIENT APPROACH FOR BOUNDARY-ELEMENT BENDING ANALYSIS OF THIN AND THICK PLATES [J].
ELZAFRANY, A ;
FADHIL, S ;
DEBBIH, M .
COMPUTERS & STRUCTURES, 1995, 56 (04) :565-576
[9]
Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory [J].
Ferreira, A. J. M. ;
Roque, C. M. C. ;
Neves, A. M. A. ;
Jorge, R. M. N. ;
Soares, C. M. M. ;
Reddy, J. N. .
THIN-WALLED STRUCTURES, 2011, 49 (07) :804-811
[10]
SMOOTHED PARTICLE HYDRODYNAMICS - THEORY AND APPLICATION TO NON-SPHERICAL STARS [J].
GINGOLD, RA ;
MONAGHAN, JJ .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1977, 181 (02) :375-389