Topology optimization considering body forces

Abstract

In this paper, topology optimization problems with three types of body forces are considered: gravitational force, centrifugal force and inertia force. All these body forces are design dependent as they vary with the redistribution of materials during topology optimization process. In this study, a total mean compliance formulation is used to produce the stiffest structure under both external and body forces. Sensitivity analysis is carried out by the adjoint method. Finally, de-sign examples are presented and compared to show the effects of body forces on the optimized results.