Topology Optimization Considering Steady-State Structural Dynamic Responses via Moving Morphable Component (MMC) Approach

This work presents a moving morphable component (MMC)-based framework for solving topology optimization problems considering both single-frequency and band-frequency steady-state structural dynamic responses. In this work, a set of morphable components are introduced as the basic building blocks for topology optimization, and the optimized structural layout can be found by optimizing the parameters characterizing the locations and geometries of the components explicitly. The degree of freedom (DOF) elimination technique is also employed to delete unnecessary DOFs at each iteration. Since the proposed approach solves the corresponding optimization problems in an explicit way, some challenging issues (e.g., the large computational burden related to finite element analysis and sensitivity analysis, the localized eigenmodes in low material density regions, and the impact of excitation frequency on the optimization process) associated with the traditional approaches can be circumvented naturally. Numerical results show that the proposed approach is effective for solving topology optimization problems involving structural dynamic behaviors, especially when high-frequency responses are considered.

Automated summary

This study proposes a framework based on moving morphable components for solving topology optimization problems considering single-frequency and band-frequency steady-state structural dynamic responses. By optimizing the parameters characterizing the locations and geometries of the components, the optimal structural layout can be found. The degree of freedom elimination technique is employed to reduce computational burden. The proposed approach can overcome challenges associated with traditional approaches and is effective for solving topology optimization problems involving structural dynamic behaviors, especially high-frequency responses.