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Topology optimization of piezoelectric actuators using moving morphable void method

Structural and Multidisciplinary Optimization volume 66, Article number: 32 (2023) Cite this article

Abstract

The piezoelectric actuator is a widely applied device owing to its appealing properties. Moving morphable void (MMV) method is an explicit topology optimization method which allows designer to obtain exact geometric information of the topology. This paper proposes a two-phase MMV method for designing an in-plane piezoelectric actuator considering the piezoelectric material distribution and the polarization direction. The first phase MMV decides the layout of the piezoelectric material and the second phase MMV distinguishes the positive and negative polarizations. The objective function is to maximize the displacement at a prescribed output port under a material volume constraint. The sensitivities of objective function and constraint with respect to the optimization design variables are analyzed. The method of moving asymptote (MMA) algorithm is used to update these variables. Several numerical examples are provided to indicate the effectiveness and adaptability of the proposed method.

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Funding

This work is supported by the National Natural Science Foundation of China (Grant Nos.11672098 and 12202129).

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Authors and Affiliations

  1. School of Civil Engineering, Hefei University of Technology, Hefei, 230009, China

    Lixue Fang, Zeng Meng, Huanlin Zhou, Xuan Wang & Xin Guo

Authors
  1. Lixue Fang
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  2. Zeng Meng
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  3. Huanlin Zhou
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  4. Xuan Wang
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  5. Xin Guo
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Correspondence to Huanlin Zhou.

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The topology optimization is based on the MATLAB software. The MATLAB codes can be available from the corresponding author with reasonable requests.

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Responsible Editor: Makoto Ohsaki

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Fang, L., Meng, Z., Zhou, H. et al. Topology optimization of piezoelectric actuators using moving morphable void method. Struct Multidisc Optim 66, 32 (2023). https://doi.org/10.1007/s00158-022-03469-6

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  • DOI: https://doi.org/10.1007/s00158-022-03469-6

Keywords

  • Topology optimization
  • Piezoelectric actuator
  • Two-phase MMV method
  • Sensitivity analysis