Deformation analysis of thin plate with distributed load by triple-reciprocity boundary element method

Abstract

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