Abstract

This paper presents a novel design by integrating geometrical and material nonlinear energy sink (NES) with a piezoelectric-based vibration energy harvester under shock excitation, which can realize vibration control and energy harvesting. The nonlinear spring and hysteresis behavior of the NES could reflect geometrical and material nonlinearity, respectively. Two configurations of the piezoelectric device, including the piezoelectric element embedded between the NES mass and the single-degree-of-freedom system or ground, are utilised to examine the energy dissipated by damper and hysteresis behavior of NES and the energy harvested by the piezoelectric element. Similar numerical research methods of Runge-Kutta algorithm are used to investigate the two configurations. The energy transaction measure (ETM) is adopted to examine the instantaneous energy transaction between the primary and the NES-piezoelectricity system. And it demonstrates that the dissipated and harvested energy transaction is transferred from the primary system to the NES-piezoelectricity system and the instantaneous transaction of mechanical energy occupies a major part of the energy of transaction. Both figurations could realize vibration control efficiently.

Highlights

  • A nonlinear energy sink (NES) is a simple single or multidegrees of freedom (MDOF) system, and it can dissipate primary system energy and realize vibration control through the use of a damper and a nonlinear stiffness spring

  • The present study investigates a system comprised of geometrical NES with hysteresis behavior reflecting material nonlinearity and a piezoelectricity-based vibration energy harvester, which is attached to the single-degree-of-freedom primary system under shock excitation

  • This study investigated a novel design for a system integrating NES including hysteresis behavior and an essential, strongly cubic, nonlinear stiffness with a piezoelectric-based vibration energy harvester under shock excitation to realize vibration mitigation and energy harvesting

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Summary

Introduction

A nonlinear energy sink (NES) is a simple single or multidegrees of freedom (MDOF) system, and it can dissipate primary system energy and realize vibration control through the use of a damper and a nonlinear stiffness spring. NES can absorb and dissipate energy through targeted energy transfers (TET) so that NES coupled with piezoelectric element could realize vibration control and energy harvesting. Lamarque and Savadkoohi investigated time multiscale energy exchange between a main system which is of Bouc-Wen family models of hysteresis and a cubic NES, and application of the coupled NES in passive control of a main system with hysteresis behavior was demonstrated [22]. Savadkoohi et al presented a general methodology to deal with time evolutionary energy exchanges between two oscillators with dual nonlinearities: a NES with smooth nonlinear geometrical (cubic) and nonsmooth hysteresis (Bouc-Wen) behaviors [23]. The present study investigates a system comprised of geometrical NES with hysteresis behavior reflecting material nonlinearity and a piezoelectricity-based vibration energy harvester, which is attached to the single-degree-of-freedom primary system under shock excitation. The energy transaction measure (ETM) is adopted to study the instantaneous energy transaction between the primary and the NESpiezoelectricity system

Configuration Models
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Methodologies and Simulations
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