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Parameter identification of nonlinear bistable piezoelectric structures by two-stage subspace method

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Abstract

System parameters identification of nonlinear bistable structures has attracted considerable interest because the performance enhancement of energy harvesting and vibration control is significantly dependent on the model parameter of nonlinear systems. Therefore, a two-stage subspace method is proposed to identify the critical parameters in the system equation of nonlinear bistable piezoelectric structures. The dynamic equation of nonlinear bistable piezoelectric structures is separated into an underlying linear electromechanical coupling equation and a nonlinear mechanical equation. At first, for the underlying linear electromechanical coupling equation, a force–displacement subspace is constructed to identify the linear mass, damping and stiffness. Meanwhile, a velocity–voltage subspace is created for the identification of the electromechanical coupling coefficient. Next, for the nonlinear mechanical equation, the nonlinear restoring force in bistable structures can be estimated by the extended nonlinear frequency response function. Numerical simulation on a magnetic coupled bistable piezoelectric structure is performed to investigate the influence of frequency-swept responses, the noise intensity and polynomial order on identification accuracy. Experimental measurement of a magnetic coupled asymmetric bistable piezoelectric beam is conducted under different excitation conditions. Experimental results demonstrate the effectiveness of the proposed identification method.

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Acknowledgements

This work is sponsored by the National Natural Science Foundation of China (Grant No. 51975453)

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Authors and Affiliations

  1. Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China

    Qinghua Liu, Junyi Cao, Fangyuan Hu, Dan Li & Zehao Hou

  2. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong, China

    Xingjian Jing

Authors
  1. Qinghua Liu
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  2. Junyi Cao
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  3. Fangyuan Hu
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  4. Dan Li
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  5. Xingjian Jing
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  6. Zehao Hou
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Correspondence to Junyi Cao.

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Liu, Q., Cao, J., Hu, F. et al. Parameter identification of nonlinear bistable piezoelectric structures by two-stage subspace method. Nonlinear Dyn 105, 2157–2172 (2021). https://doi.org/10.1007/s11071-021-06738-z

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