A fast multipole boundary element method for solving the thin plate bending problem

被引：13

作者：

Huang, S. ^{[1
]}

Liu, Y. J. ^{[1
]}

机构：

[1] Univ Cincinnati, Cincinnati, OH 45221 USA

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2013年 / 37卷 / 06期

关键词：

Fast multipole method; Boundary element method; Thin plate bending problem; EFFECTIVE ELASTIC-CONSTANTS; BIHARMONIC EQUATION; NUMERICAL-SOLUTION; FINITE DEFLECTION; ALGORITHM;

D O I：

10.1016/j.enganabound.2013.03.014

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A fast multipole boundary element method (BEM) for solving large-scale thin plate bending problems is presented in this paper. The method is based on the Kirchhoff thin plate bending theory and the biharmonic equation governing the deflection of the plate. First, the direct boundary integral equations and the conventional BEM for thin plate bending problems are reviewed. Second, the complex notation of the kernel functions, expansions and translations in the fast multipole BEM are presented. Finally, a few numerical examples are presented to show the accuracy and efficiency of the fast multipole BEM in solving thin plate bending problems. The bending rigidity of a perforated plate is evaluated using the developed code. It is shown that the fast multipole BEM can be applied to solve plate bending problems with good accuracy. Possible improvements in the efficiency of the method are discussed. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：967 / 976

页数：10

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