Improving energy harvesting in excited Duffing harvester device using a delayed piezoelectric coupling

Z Ghouli,M Hamdi,M Belhaq

doi:10.1051/matecconf/201824101010

Z Ghouli, M Hamdi + Show 1 more

Open Access

https://doi.org/10.1051/matecconf/201824101010

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Abstract

The present work examines the influence of time delay introduced in the piezoelectric circuit of an excited Duffing harvester device with hardening stiffness on the vibration and voltage amplitudes. Specifically, we seek to exploit a delayed electrical circuit of the harvester to enhance its performance. We consider the case of a monostable system and we use a perturbation technique to approximate the periodic response and the corresponding voltage amplitude near the principal resonance. It is shown that for appropriate values of delay amplitude, the energy harvesting performance is improved over a certain range of coupling parameters and excitation frequencies. Numerical simulation is conducted to support the analytical predictions.

Highlights

A monostable piezoelectric nonlinear energy harvester (EH) device consisting of a Duffing-type harvester with hardening stiffness coupled to a delayed piezoelectric circuit is considered in this paper
The objective is to examines the influence of time delay in the piezoelectric circuit on the amplitude of the response and the voltage amplitude
A delayed Duffing-type monostable harvester subject to a harmonic excitation and coupled to a piezoelectric circuit was studied in the case where the time delay is introduced only in the mechanical subsystem [1]

Summary

Introduction

A monostable piezoelectric nonlinear energy harvester (EH) device consisting of a Duffing-type harvester with hardening stiffness coupled to a delayed piezoelectric circuit is considered in this paper. A delayed Duffing-type monostable harvester subject to a harmonic excitation and coupled to a piezoelectric circuit was studied in the case where the time delay is introduced only in the mechanical subsystem [1]. We present the harvester system and we derive approximation of the periodic response and the voltage amplitude using the multiple scales method [3]. To investigate the influence of time delay in the electric circuit on the performance of the harvester, we approximate the response of the system near the primary resonance by introducing the resonance condition ω = ωn + σ where σ is a detuning parameter.

Main results

Conclusion