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Sensitivity-based nonlinear restoring force identification of multistable piezoelectric energy harvesters

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Abstract

Nonlinear restoring force has a significant influence on the nonlinear dynamic behavior of multistable piezoelectric energy harvesters. However, it is sometimes difficult in experiments to obtain the nonlinear restoring force accurately. Therefore, identifying the nonlinear restoring force is essential to analyze and optimize the multistable piezoelectric energy harvesters. In this paper, a novel approach is proposed to identify the nonlinear restoring force from time-domain voltage response sensitivity analysis. Firstly, the nonlinear restoring force identification is formulated as a nonlinear optimization problem whose goal function is just least squares of the misfit between the measured and calculated output. Sensitivity analysis and the trust region constraint are then introduced to get convergent solution iteratively. Numerical simulations are carried out based on several examples, and the results demonstrate the feasibility and accuracy of the proposed approach.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data will be made available on reasonable request.]

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Acknowledgements

The present investigation was performed under the support of National Natural Science Foundation of China (No. 51776190), China Postdoctoral Science Foundation (No. 2020M682336), and Science and Technology Project of Henan Province (No. 212102310248).

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Authors and Affiliations

  1. School of Mechanics and Safety Engineering, ZhengZhou University, Zhengzhou, People’s Republic of China

    Ce Huang, Wei Wang & Ke Wang

  2. Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou, People’s Republic of China

    Li Wang

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  1. Ce Huang
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  2. Li Wang
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Correspondence to Wei Wang.

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Huang, C., Wang, L., Wang, W. et al. Sensitivity-based nonlinear restoring force identification of multistable piezoelectric energy harvesters. Eur. Phys. J. Plus 137, 285 (2022). https://doi.org/10.1140/epjp/s13360-022-02507-y

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