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

Abstract

In this work, a topology optimization method for multi-component structures is developed to minimize

dynamic compliance under point harmonic loads. Most research focuses on single-domain systems, but real

structures are complex and composed of multiple components. Many structures, such as robotic arms,

automobiles, and aircraft, are significantly affected by dynamic loads. This study proposes a methodology for

optimizing multi-component structures under dynamic loading, evaluating compliance minimization in the

frequency domain. The approach consists of 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.