Green’s functions for problems that simulate potential fields in thin-walled structures of irregular configuration

Abstract

Matrices of Green’s type are targeted, for the first time, for a specific class of boundary–contact value problems which arise in studying potential fields induced in thin plate and shell assemblies of irregular configuration. A specific semi-analytic approach is proposed for evaluation of such matrices. It is based on our modification of the classical Kupradze’s method of functional equations. The approach appears workable for a broad range of the indicated problem settings. Representing the key component in the approach, matrices of Green’s type are analytically constructed to a number of boundary–contact value problems stated for relevant compound regularly configurated assemblies. This is accomplished prior to the actual computer work maintaining a solid background for fast and accurate solution of targeted problems.