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Theoretical modeling and experimental evaluation of a magnetostrictive actuator with radial-nested stacked configuration

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A Correction to this article was published on 02 June 2022

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Abstract

Stacked magnetostrictive actuator (SMA) has the advantages of high energy density and high bandwidth, but the output stroke is relatively small and accompanied by strong hysteresis nonlinearity. Introducing the radial-nested stacked configuration, the stroke of a SMA can be increased without deteriorating its bandwidth. However, this configuration consists of three magnetostrictive rods of different shapes which brings more serious asymmetric hysteresis nonlinearity and poses a great challenge on the theoretical modeling of the actuator. In this paper, a magnetic equivalent circuit (MEC) model is established to describe the magnetic characteristic of radial-nested stack. Then, a nonlinear dynamic magnetization model is proposed with the combination of the MEC model and the Jiles-Atherton model. Finally, by considering the multi-degree-of-freedom (MDOF) mechanical dynamic system, a multiphysics comprehensive dynamic (MCD) model is established. What’s more, a prototype of radial-nested stacked Terfenol-D actuator (RSTA) is fabricated, a series of simulations and experiments are conducted to evaluate the proposed models. The parameters that cannot be calculated or measured in the model are identified by employing the multi-island genetic algorithm. Results show that: (a) the MEC model can accurately calculate the magnetic distribution of the RSTA with an error less than 0.2% compared with a finite element model; (b) the MCD model can accurately describe the RSTA output hysteresis nonlinearity under different operating frequencies and amplitudes with a root-mean-square (RMS) error less than 1.1 \(\upmu \hbox {m}\) (1.76%).

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The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 51975275), the Primary Research & Development Plan of Jiangsu Province (Grant No. BE2021034), the National Science Foundation of Jiangsu Province of China (Grant No. BK20210294) and the Postgraduate Research & Practice Innovation Program of Jiangsu Province, China (Grant No. KYCX21_0195). (Corresponding authors: Yuchuan Zhu and Jie Ling).

Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 51975275), the Primary Research & Development Plan of Jiangsu Province (Grant No. BE2021034), the National Science Foundation of Jiangsu Province of China (Grant No. BK20210294), the Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant No. KYCX21_0195).

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Authors and Affiliations

  1. The National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, Jiangsu, China

    Long Chen, Yuchuan Zhu & Jie Ling

  2. Faculty of Science and Technology, University of Macau, Taipa, 999078, Macau, China

    Zhao Feng

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  1. Long Chen
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  2. Yuchuan Zhu
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  3. Jie Ling
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  4. Zhao Feng
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Long Chen]. The first draft of the manuscript was written by [Long Chen], and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Yuchuan Zhu or Jie Ling.

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Chen, L., Zhu, Y., Ling, J. et al. Theoretical modeling and experimental evaluation of a magnetostrictive actuator with radial-nested stacked configuration. Nonlinear Dyn 109, 1277–1293 (2022). https://doi.org/10.1007/s11071-022-07494-4

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