Deformation Analysis of Thin Plate with Distributed Load by Triple-Reciprocity BEM

Abstract

In general, internal cells are required to solve deformation of thin plate with arbitrary distributed load using conventional boundary element methods (BEM). However, in this case, the merit of BEM, which is the easy preparation of data, is lost. In this paper, it is shown that deformation analysis of thin plate with arbitrary distributed load can be solved without the use of internal cells by using the triple-reciprocity boundary element method. Distribution of arbitrary load is interpolated using boundary integral equations. The problem of thin plate according to Kirchhoff's theory is formulated by means of two coupled Poisson equations to be expressed in integral form using the second theorem of Green in the classical way. A new computer program was developed and applied to several example problems.