Comparative study on sensitivity analysis of transient vibration response in topology optimization

Hao Zheng; Wenyuan Yang; Xianglei Bu; Haifeng Zhang; Ling Zhou; Hongliang Zhang; Hongfu Wang; Yong Sun; Qiang Zhou

doi:10.1117/12.3046662

27 September 2024 Comparative study on sensitivity analysis of transient vibration response in topology optimization

Hao Zheng, Wenyuan Yang, Xianglei Bu, Haifeng Zhang, Ling Zhou, Hongliang Zhang, Hongfu Wang, Yong Sun, Qiang Zhou

Author Affiliations +

Proceedings Volume 13261, Tenth International Conference on Mechanical Engineering, Materials, and Automation Technology (MMEAT 2024); 132611A (2024) https://doi.org/10.1117/12.3046662
Event: 10th International Conference on Mechanical Engineering, Materials, and Automation Technology (MMEAT 2024), 2024, Wuhan, China

Abstract

This paper investigates and summarizes the sensitivity analysis of transient vibration response in topological optimization problems. Firstly, the finite element calculation process of the transient vibration response based on the Newmark method is given. On this basis, the sensitivity formulae of the vibration response objective function to the element pseudo-density are derived using the finite difference method (FDM), the direct differential method (DDM), and the adjoint variable method (AVM). Numerical examples show that AVM has the same calculation accuracy as the DDM, while the precision of the FDM is affected by the perturbation step length. The calculation time of AVM is only about 0.5% of that of FDM. The conclusions of this study can provide a reference for topology optimization.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Hao Zheng, Wenyuan Yang, Xianglei Bu, Haifeng Zhang, Ling Zhou, Hongliang Zhang, Hongfu Wang, Yong Sun, and Qiang Zhou "Comparative study on sensitivity analysis of transient vibration response in topology optimization", Proc. SPIE 13261, Tenth International Conference on Mechanical Engineering, Materials, and Automation Technology (MMEAT 2024), 132611A (27 September 2024); https://doi.org/10.1117/12.3046662

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