A New Solution Scheme for Bending Problems of Beams by the Boundary Element Method : Reconstruction of the Simultaneous Equations and Establishment of the Nondividing Scheme

Abstract

A new solution scheme to solve the bending problems of beams by the boundary element method has been developed. The main points of this study are : (1) to improve the composition of the simultaneous equations by introducing a new formulation process, (2) to establish an algorithm without any variable at intermediate points and (3) to establish a generalized solution scheme for an inhomogeneous beam. In this report we will describe (1) and (2). The matrix size as well as the computing time is greatly reduced owing to the new algorithms. therefore, high efficiency in repetitive calculations is obtained. Using the present solution scheme, a much more efficient system for optimal designs using such as the genetic algorithm will be realized to build.