Stress-limited topology optimization with local volume constraint using moving morphable components

Abstract

This paper is dedicated to investigate the explicit Lagrangian topological optimization for stress-constrained problems with global and local volume constraints. In most of the works in the state of the art, the global volume constraints were chosen as the main constraint of the optimization formulation. However, in many of the industrial applications such as in automotive engineering, some packaging regulations may lead to local volume constraints which should be considered in optimization formulation. In this research, a low-dimensional explicit parametrization approach called moving morphable components is coupled with mathematical programming to solve the aforementioned problem. The large-scale stress constraint is handled with aggregation techniques. The results of this paper are presented in some famous benchmark problems with different local volume constraints. It is demonstrated that local volume constrained can be easily handled with this approach. The present approach can be more effective in solving real engineering problems with packaging constraints in comparison with the traditional methods.