Improving the performance of a multi-material topology optimization model involving stress and dynamic constraints

Abstract

In this study, an approach for multi-material topology optimization (MMTO) that addresses several distinct matters is proposed. The proposed formulation, which is based on the alternating active-phase algorithm (AAPA) and the Jacobi approach, can firstly deal with dynamic topology optimization. As a second execution, the method is used to resolve the strength-enhancing, globally applicable von Mises stress limitations. In addition, stress constraints are applied concurrently to the dynamic issues. As a result, the stability and strength of the structures are both improved at the same time. Thirdly, the eigenvalues shift approach and the modified interpolation scheme are proposed to prevent the mode switching and pseudo modes in the MMTO problem, respectively. Multi-material architectures with and without stress limitations reveal different optimum results for each frequency constraint. The design variables are required the method of moving asymptotes (MMA) for updating new design variables after main loop. Extensive numerical examples are given, and the authors highlight outstanding questions that are the focus of current studies.