An Fe Shooting Method for Solving Infinite Domain Problems

Abstract

SUMMARYThe shooting method is used in FE analysis for solving problems in in®nite domains. To restrain the instability of marching solutions caused by the position of the main diagonal of a stiness matrix in a matrix of the shooting method, a special retransformation of sets of the marching solutions is presented. The developed procedure allows elimination of the in¯uence of the main diagonal, obtains a converging general solution of a system of interest, and de®nes the position of a bound in the in®nite domain within the framework of the ®nite element analysis. The plane stress problem of a semi-in®nite strip is utilized as a model for demonstrating the accepted approach.