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Topology Optimization with Aperiodic Load Fatigue Constraints Based on Bidirectional Evolutionary Structural Optimization

Yongxin Li1, Guoyun Zhou1, Tao Chang1,*, Liming Yang2, Fenghe Wu1
1 Heavy-Duty Intelligent Manufacturing Equipment Innovation Center of Hebei Province, School of Mechanical Engineering, Yanshan University, Qinhuangdao, China
2 Space Star Technology Co., Ltd., Beijing, China
* Corresponding Author: Tao Chang. Email:
(This article belongs to this Special Issue: Novel Methods of Topology Optimization and Engineering Applications)

Computer Modeling in Engineering & Sciences 2022, 130(1), 499-511.

Received 25 May 2021; Accepted 03 August 2021; Issue published 29 November 2021


Because of descriptive nonlinearity and computational inefficiency, topology optimization with fatigue life under aperiodic loads has developed slowly. A fatigue constraint topology optimization method based on bidirectional evolutionary structural optimization (BESO) under an aperiodic load is proposed in this paper. In view of the severe nonlinearity of fatigue damage with respect to design variables, effective stress cycles are extracted through transient dynamic analysis. Based on the Miner cumulative damage theory and life requirements, a fatigue constraint is first quantified and then transformed into a stress problem. Then, a normalized termination criterion is proposed by approximate maximum stress measured by global stress using a P-norm aggregation function. Finally, optimization examples show that the proposed algorithm can not only meet the requirements of fatigue life but also obtain a reasonable configuration.


Topology optimization; bidirectional evolutionary structural optimization; aperiodic load; fatigue life; stress constraint

Cite This Article

Li, Y., Zhou, G., Chang, T., Yang, L., Wu, F. (2022). Topology Optimization with Aperiodic Load Fatigue Constraints Based on Bidirectional Evolutionary Structural Optimization. CMES-Computer Modeling in Engineering & Sciences, 130(1), 499–511.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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