• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2021, Vol. 57 ›› Issue (3): 59-68.doi: 10.3901/JME.2021.03.059

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Topological Design of Compliant Mechanisms Considering Fatigue Constraints

ZHAN Jinqing1, LIU Tianshu1, LIU Min1, ZHU Benliang2   

  1. 1. School of Mechanotronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013;
    2. Guangdong Provincial Key Laboratory of Precision Equipment and Manufacturing Technique, South China University of Technology, Guangzhou 510641
  • Received:2020-05-30 Revised:2020-09-15 Online:2021-02-05 Published:2021-03-16

Abstract: Compliant mechanisms need to withstand multiple reciprocating motions, and the alternating stress causes the mechanism to be prone to fatigue damage and failure. In order to meet the fatigue performance, a method for topology optimization of compliant mechanisms considering fatigue constraints is proposed. The proportional loadings with constant amplitude is considered in fatigue analysis. The modified Goodman fatigue criterion are applied to evaluate the fatigue strength. The maximum of the output displacement of the compliant mechanisms is developed as the objective function, and the fatigue performance and structural volume are used as the constraints. Fatigue constraints are aggregated into a constraint using the improved P-norm method. The model for topology optimization of compliant mechanisms considering fatigue constraints is established. The projection filter is applied to avoid the phenomenon of numerical instabilities. The method of moving asymptotes is applied to solve the multi-constrained optimization problem. The results of several numerical examples show the compliant mechanisms obtained by fatigue constrained topology optimization can meet the fatigue strength requirement, and the stress is more uniformly distributed. The effect of different loading conditions on the configuration and performance of the compliant mechanisms is analyzed.

Key words: compliant mechanisms, topology optimization, fatigue constraints, modified Goodman criterion

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