Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method

被引：8
作者：
Purbolaksono, J. [1 ]
Aliabadi, M. H. [2 ]
机构：
[1] Univ Tenega Nas, Dept Mech Engn, Kajang 43009, Selangor, Malaysia
[2] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, Fac Engn, London SW7 2BY, England
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2010年 / 34卷 / 09期
关键词：
Boundary element method; Dual reciprocity; Shear deformable plates; Large deformation; Incremental approach; DEFLECTION ANALYSIS; NONLINEAR-ANALYSIS; FINITE DEFLECTION; REISSNER PLATE;
D O I：
10.1016/j.enganabound.2010.03.011
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper the dual reciprocity boundary element method (DRBEM) is employed to evaluate large deformations of shear deformable plates. Incremental approaches utilizing the Euler method and the total incremental method are used for treating the nonlinear problems. A simple numerical algorithm for analyzing the problems is presented. Two numerical examples of square plates with different boundary conditions subjected to transverse loadings are presented to demonstrate the accuracy of the formulation. The Euler method seems to be a more stable method for treating nonlinear problems of the shear deformable plate if the dual reciprocity method is employed to evaluate the domain integrals that appear in the formulations. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：819 / 823
页数：5
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