A dynamic topology optimization design method based on multiple domain variable parameters

Topology optimization has been extensively studied for obtaining desired functional performances of a structure within a predefined design domain. However, existing topology optimization approaches mainly focus on the static structure. Additionally, a structure is generally consisted of multiple materials and its loading state is quite complicated in practical applications, which are seldom considered simultaneously during design optimization. In this paper, a dynamic topology optimization design method based on multiple domain variable parameters is proposed to solve these issues. First, a structure is divided into multiple domains, and an optimal topology model of discrete structure is proposed. Then, the constraints are relaxed and a per-element variable is introduced to process the design variables continuously. To eliminate the undesirable checkerboard patterns, a filtering method is proposed and an approach of projection is presented for determining the volume of the projected structure according to the practical design requirements. After that, a dynamic continuous optimization model is put forward for solving the optimal solution of the complex structure under various working conditions. Finally, the effectiveness and efficiency of the proposed method are validated by constructing a topology optimized link of the press.