Effect of Electromechanical Coupling on Dynamic Characteristics of a Piezoelectric Nonlinear Energy Sink System
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ORIGINAL PAPER
Effect of Electromechanical Coupling on Dynamic Characteristics of a Piezoelectric Nonlinear Energy Sink System Liuyang Xiong1 · Lihua Tang1 · Kefu Liu2 · Brian Richard Mace1 Received: 16 August 2020 / Revised: 27 September 2020 / Accepted: 3 October 2020 © Krishtel eMaging Solutions Private Limited 2020
Abstract Purpose Integrating a piezoelectric nonlinear energy sink (NES) to a host structure has recently been used to realize simultaneous vibration control and energy harvesting. This paper investigates a piezoelectric NES system connected with a resistive load, revealing the influence of the electromechanical coupling on the nonlinear dynamic phenomena and the consequent energy harvesting performance under impulsive and harmonic excitations. Methods For impulsive excitation, the periodic orbits of the electromechanical system are analysed based on the complexification-averaging method and validated by the wavelet transform of the damped response from numerical simulations. For harmonic excitation, the steady-state response of the displacement and power output can be obtained by the utilization of the Newton-enabled harmonic balance method (NHBM) and numerical simulations. Results The frequency–energy plot shows the evolution of the backbone branches due to the equivalent electrical stiffness induced by the piezoelectric transducer. Furthermore, for the steady-state response, the influence of the electromechanical coupling on the vibration suppression performance, the harvested power as well as the operational bandwidth are illustrated. Conclusion In addition to the direct effect on the energy conversion efficiency, the results indicate that the increase of electromechanical coupling will eventually deactivate energy localization phenomenon in the NES for both impulsive and harmonic excitation, which will also affect the energy harvesting performance. Keywords Nonlinear energy sink · Targeted energy transfer · Energy localization · Equivalent electrical damping and stiffness · Piezoelectric energy harvesting
Introduction The ubiquitous vibrations existing in the ambient environment can be caused by various sources including wind, traffic, human motion and even earthquake. Vibrations may cause fatigue problems for structures, bring discomfort to people or reduce the working life of machinery. For these undesired vibrations, extensive research has been conducted to mitigate their impact via various methods, such as isolating the structure from the source of excitation * Lihua Tang [email protected] 1
Department of Mechanical Engineering, University of Auckland, 20 Symonds Street, Auckland 1010, New Zealand
Department of Mechanical Engineering, Lakehead University, 955 Oliver Road, Thunder Bay, ON P7B 5E1, Canada
2
[1], introducing a linear/nonlinear tuned mass damper [2, 3], using acoustic metamaterial [4] and exploring particle impact dampers [5], nonlinear viscous dampers [6] or nonlinear energy sinks (NESs) [7]. NES is a unique substructure attached to a primary structure w
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