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Experimental analysis of nonlinear resonances in piezoelectric plates with geometric nonlinearities

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Abstract

Piezoelectric devices with integrated actuation and sensing capabilities are often used for the development of electromechanical systems. The present paper addresses experimentally the nonlinear dynamics of a fully integrated circular piezoelectric thin structure, with piezoelectric patches used for actuation and other for sensing. A phase-locked loop control system is used to measure the resonant periodic response of the system under harmonic forcing, in both its stable and unstable parts. The single-mode response around a symmetric resonance as well as the coupled response around an asymmetric resonance, involving two companion modes in 1:1 internal resonance, is accurately measured. For the latter, a particular location of the patches and additional signal processing is proposed to spatially discriminate the response of each companion mode. In addition to a hardening behavior associated with geometric nonlinearities of the plate, a softening behavior predominant at low actuation amplitudes is observed, resulting from the material piezoelectric nonlinearities.

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Acknowledgements

Frédéric Guillerm is thanked for his tremendous skills in fitting and gluing piezoelectric patches.

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Authors and Affiliations

  1. Arts et Metiers Institute of Technology, LISPEN, HESAM Université, 59000, Lille, France

    Arthur Givois & Olivier Thomas

  2. Conservatoire National des Arts et Métiers, Laboratoire de Mécanique des Structures et des Systèmes Couplés (LMSSC), HESAM Université, 2 rue Conté, 75003, Paris, France

    Arthur Givois & Jean-François Deü

  3. Arts et Metiers Institute of Technology, University of Lille, Centrale Lille, HEI, HESAM Université, EA 2697 - L2EP - Laboratoire d’Electrotechnique et d’Electronique de Puissance, 59000, Lille, France

    Christophe Giraud-Audine

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Givois, A., Giraud-Audine, C., Deü, JF. et al. Experimental analysis of nonlinear resonances in piezoelectric plates with geometric nonlinearities. Nonlinear Dyn 102, 1451–1462 (2020). https://doi.org/10.1007/s11071-020-05997-6

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