Minimization of structural dynamic compliance in 3d multi-component systems through topology optimization

Abstract

This work develops a topology optimization method for multi-component structures to minimize dynamic compliance under harmonic loads. While most research focuses on single-domain systems, real structures are complex multi-component assemblies. This study proposes a methodology for optimizing multi-component structures under dynamic loading, evaluating compliance minimization in the frequency domain. The approach involves four steps: multi-component mesh generation, dynamic analysis via Finite Element Method, sensitivity analysis using an adjoint method, and an optimization solver. The optimization follows the SIMP (Solid Isotropic Material with Penalization) method. To improve stability, Helmholtz filtering and Heaviside projection are applied. The problem addresses dynamic compliance minimization and stiffness maximization, presenting case studies of 3D structures with different substructuring conditions. A key finding is the emergence of structural connectivity issues under high-frequency excitation, highlighting a critical challenge for dynamic topology optimization.