Establishment of equation system for static analysis of plane curve elements using Boundary element method

Abstract

ABSTRACT:
The article presents how to establish a system of algebraic equations to solve the problem of determining the internal forces and displacements of plane curve elements using boundary element method. The boundary element method has a mathematical model established on the basis of the solution of the boundary integral equations. The root functions of internal forces and displacement of the element are found on the basis of the Cosi solutions of the basis differential equations applied for plane curve elements. From there, it is established a system of algebraic equations to determine parameters of internal forces and
displacements at boundary points of elements and it is established solving equations for model elements.

Key words: Structural mechanics, matrix algorithm, MathCad programming software.