Linear and nonlinear piezoelectric shunting strategies for vibration mitigation

P Soltani,G Kerschen,A Deraemaeker,G Tondreau

doi:10.1051/matecconf/20141601007

Abstract

This paper studies linear and nonlinear piezoelectric vibration absorbers that are designed based on the equal-peak method. A comparison between the performance of linear mechanical and electrical tuned vibration absorbers coupled to a linear oscillator is first performed. Nonlinearity is then introduced in the primary oscillator to which a new nonlinear electrical tuned vibration absorber is attached. Despite the frequency-energy dependence of nonlinear oscillations, we show that the nonlinear absorber is capable of effectively mitigating the vibrations of the nonlinear primary system in a large range of forcing amplitudes.

Highlights

Tuned vibration absorbers (TVAs) are passive devices that allow to reduce the vibration of a host structure in a specific frequency band
An electrical TVA (ETVA) consists of a resonant electrical shunt in series with a piezoelectric (PZT) material attached to the host structure
A mass M1 of 1kg is attached to a spring K1 much stiffer than the piezoelectric stack used in the ETVA

Summary

Introduction

Tuned vibration absorbers (TVAs) are passive devices that allow to reduce the vibration of a host structure in a specific frequency band. An electrical TVA (ETVA) consists of a resonant electrical shunt in series with a piezoelectric (PZT) material attached to the host structure. Dynamical coupling between the host and the PZT converts mechanical energy into electrical energy. This electrical energy is dissipated by the resistor of the shunt which causes the vibration of the host system to be mitigated. ETVAs dissipate energy to mechanical TVAs (MTVAs) but without adding any moving part to the host structure. A nonlinear ETVA was introduced in [3], and the effects of nonlinear electrical shunts on linear host structures were explained analytically using a perturbation method.

Linear piezoelectric tuned vibration absorbers

Equal-peak method applied to MTVAs and ETVAs

Equivalence between MTVAs and ETVAs

ETVA attached to a nonlinear primary structure

Nonlinear piezoelectric tuned vibration absorbers

Concluding remarks