Topology Optimization of Truss-Like Continuum under Stress Constraints by Sequence Linear Program

Abstract

A method to minimize material volume of truss-like continuum with stress constraint under multi-loads cases by sequence linear program was presented. It is assumed that there were infinite numbers of members with infinitesimal spaces along two orthotropic orientations at any position. A truss-like material model was employed to simulate the topological optimal structures. Members were assumed as distributed continuously in design domain. Structure was analyzed by finite element method. The densities and orientations of members at nodes were taken as designed variables. Their values in elements vary continuously. An iterative procedure was suggested to optimize the distributed field of members. The sensitivities of stresses constraints were derived. Truss-like continuum was built by the method in this paper.