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Robust topological design of actuator-coupled structures with hybrid uncertainties

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Abstract

Based on the bidirectional evolutionary structural optimization method, a robust topology optimization (RTO) algorithm is developed for actuator-coupled structures with hybrid uncertainties. The hybrid interval random variables model is adopted to simulate the uncertainty of the mechanical and piezoelectric parameters. The worst case of the compliance is set as the robust objective function. A hybrid uncertainty perturbation analysis method (HUPAM) is proposed to estimate the expectation and standard variance of the robust objective function. The density-based interpolation scheme is employed to establish the design variables, and the sensitivity of the robust objective function with respect to the design variables is derived. The robust topologies of the host structure and the optimal placement of the coupled actuators are obtained by the proposed RTO approach. Several numerical examples are presented to show the effectiveness of the proposed method, and the Monte Carlo method is used to validate the accuracy of the HUPAM.

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Acknowledgements

This work was supported by the National Key R&D Program of China (2016YFB0100903-2, the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51621004), the Opening Project of the Guangxi Key Laboratory of Automobile Components and Vehicle Technology of Guangxi University of Science and Technology (No. 2017GKLACVTKF01) and the Opening Project of the Hunan Provincial Key Laboratory of Vehicle Power and Transmission System (Nos. VPTS-2019-02, VPTS-2019-03 and VPTS-2019-06), Natural Science Foundation of Hunan Province (Grant No. 2017JJ3030). In addition, the authors thank the reviewers for their constructive comments.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Z. C. He, H. X. Jiang & Y. Wu

  2. School of Science, Engineering and Design, Teesside University, Middlesbrough, UK

    Eric Li

  3. Guangxi Key Laboratory of Automobile Components and Vehicle Technology, Guangxi University of Science and Technology, Liuzhou, 545006, People’s Republic of China

    Z. C. He

  4. Department of Mechanical Engineering, Hunan Institute of Engineering, Xiangtan, 411101, People’s Republic of China

    B. Zhou & Q. Tang

  5. Hunan Province Key Laboratory of Vehicle Power and Transmission System, Xiangtan, 411101, People’s Republic of China

    Q. Tang

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  1. Z. C. He
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  4. Eric Li
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Correspondence to Eric Li.

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He, Z.C., Jiang, H.X., Wu, Y. et al. Robust topological design of actuator-coupled structures with hybrid uncertainties. Acta Mech 231, 1621–1638 (2020). https://doi.org/10.1007/s00707-019-02608-3

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