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Tailoring multistable vibrational energy harvesters for enhanced performance: theory and numerical investigation

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Abstract

This study exposes the analytical and numerical analyses of multistable systems for energy harvesting purposes. More specifically, this paper aims at providing appropriate conditions for ensuring equal potential barrier to go from one well to another whatever the order of multistability. This therefore allows optimal operations through either potential barrier lowering or vibration magnitude increase. Then, such analytical and numerical results are incorporated into a general dynamic model and evaluated. Results show a significant magnification of the frequency bandwidth while keeping the same maximal velocity magnitude. Hence, such a unified approach would permit designing efficient vibrational energy harvester working on a wide frequency band at low excitation levels.

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Notes

  1. According to the order of multistability: well for n even and peak for n odd

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11802237), the Fundamental Research Funds for the Central Universities (Grant No. G2018KY0306), as well as the Agence Nationale de la Recherche through Grant ANR-15-CE22-0015-01 (BESTMEMS Project).

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Authors and Affiliations

  1. School of Aeronautics, Northwestern Polytechnical University, Xi’an, People’s Republic of China

    Mickaël Lallart, Shengxi Zhou, Zhichun Yang & Yu Chen

  2. INSA-Lyon, LGEF EA 682, University of Lyon, 69621, Villeurbanne, France

    Mickaël Lallart & Linjuan Yan

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  1. Mickaël Lallart
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  2. Shengxi Zhou
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Correspondence to Mickaël Lallart.

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Lallart, M., Zhou, S., Yan, L. et al. Tailoring multistable vibrational energy harvesters for enhanced performance: theory and numerical investigation. Nonlinear Dyn 96, 1283–1301 (2019). https://doi.org/10.1007/s11071-019-04853-6

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  • DOI: https://doi.org/10.1007/s11071-019-04853-6

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