THE BLOCK-DIAGONALIZATION METHOD APPLIED TO THE STIFFNESS MATRIX OF SOLID FINITE ELEMENTS BY GROUP PRODUCT

Abstract

In the solid elements problem with symmetry, it is a numerical calculation with a large scale EM that assembles the stiffness matrix of the solid elements analysis. It is taken away this problem, as the method improved analysis efficiency, the block-diagonalization method (BDM) based on “ group theory” has come to be utilized to exploit structural analysis of the symmetric finite elements. In this paper, it is expressed the outline of the BDM by the group products of symmetry, applied to high-symmetry of the solid elements using with simple symmetries. By the application of the finite solid elements, this group product is considered very useful method.