Experimental analysis of nonlinear resonances in piezoelectric plates with geometric nonlinearities
- PDF / 3,071,436 Bytes
- 12 Pages / 547.087 x 737.008 pts Page_size
- 105 Downloads / 178 Views
ORIGINAL PAPER
Experimental analysis of nonlinear resonances in piezoelectric plates with geometric nonlinearities Arthur Givois · Christophe Giraud-Audine · Jean-François Deü · Olivier Thomas
Received: 20 May 2020 / Accepted: 1 October 2020 © Springer Nature B.V. 2020
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 A. Givois (B)· O. Thomas Arts et Metiers Institute of Technology, LISPEN, HESAM Université, 59000 Lille, France e-mail: [email protected] A. Givois · J.-F. Deü Conservatoire National des Arts et Métiers, Laboratoire de Mécanique des Structures et des Systèmes Couplés (LMSSC), HESAM Université, 2 rue Conté, 75003 Paris, France C. Giraud-Audine 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
softening behavior predominant at low actuation amplitudes is observed, resulting from the material piezoelectric nonlinearities. Keywords Piezoelectric device · Nonlinear dynamics · Internal resonance · Experiments
1 Introduction Piezoelectric transduction is commonly used in numerous engineering applications, such as energy harvesting [1,2], micro/nano-electromechanical systems (M/NEMS) [3], and vibration control [4–6]. The transducers can be directly embedded in the mechanical structure by means of piezoelectric layers, used for both actuation and detection, obtaining a fully integrated device. This can lead to the fabrication of low-volume and portable systems. In this case, the transduction ability is of first importance [7–10]. In traditional approaches, nonlinearities are often avoided, because they lead to complex dynamical phenomena, undesirable as well as difficult to model and simulate. However, it was shown that exploiting the nonlinear behavior of electromechanical systems can help to improve their efficiency. Possible applications are energy harvesting, for which the operating frequency bandwidth can be broaden [11–14] and M/NEMS applications. In this latter context, nonlinear effects with softening or hardening behaviors around resonances (e.g., [15,1
Data Loading...
