Computable Representations Of Influence Functions For Multiply
Connected Kirchoff Plates
Author(s)
Y. A. Melnikov
Abstract
Computable representations of influence
functions for multiply connected Kirchoff
plates
Y .A. Melnikov
Department of Mathematical Sciences
Middle Tennessee State University, USA
Abstract
A modification is proposed of the method of functional equations which is
known in solid mechanics for decades as the method of fictitious forces and,
in recent days, often referred to as the method of fundamental solutions.
The modification is designed to accurately compute influence functions of
a point force for Kirchhoff plates containing apertures and rigid inclusions.
The resolving potentials are built with the aid of the available Green's functions
of the biharmonic equation for appropriate simply shaped regions. The
observation and the source points of the potentials occupy different sets,
resulting subsequently in functional (integral type) equations with smooth
kernels. This approach allows one to obtain components of the stress tensor
generated by a point force with the same accuracy level as that
Keywords
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