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Experimental analysis of nonlinear resonances in piezoelectric plates with geometric nonlinearities

Article dans une revue avec comité de lecture
Author
GIVOIS, Arthur
543315 Laboratoire d’Ingénierie des Systèmes Physiques et Numériques [LISPEN]
12568 Laboratoire de Mécanique des Structures et des Systèmes Couplés [LMSSC]
GIRAUD-AUDINE, Christophe
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
DEÜ, Jean-François
12568 Laboratoire de Mécanique des Structures et des Systèmes Couplés [LMSSC]
THOMAS, Olivier
543315 Laboratoire d’Ingénierie des Systèmes Physiques et Numériques [LISPEN]

URI
http://hdl.handle.net/10985/22640
DOI
10.1007/s11071-020-05997-6
Date
2020-10
Journal
Journal Nonlinear Dynamics

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 actuationand 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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