关键词: 工程力学, 拓扑修改, 静态结构重分析, 拓扑变化, MoorePenrose逆

Abstract: Two elementary topological changes for axial symmetric structures were presented and a set of explicit formulae of elementary topology changes of axial symmetric structures were given by using MoorePenrose inverse theory and a factorization of stiffness matrix. Utilizing these formulae, a new reanalysis method for topological modifications of static structures were presented. This method has advantages of that the repeated assembling and solving of a set of linear equations is not needed, and all the reanalysis can be obtained by the formulae of topological changes. This method is an exact method and has little computational effort. It is suitable for the reanalysis of topological optimization designs especially the local optimal designs because the formulae are easy to realize on the computer. An example was given to illustrate the valid of this method.

Key words: engineering mechanics, topological modification, reanalysis of static structures, topology changes, MoorePenrose inverse