Abstract

In this paper we study a generic model of a nonlinear quasiperiodic vibration energy harvester (VEH) based on electromagnetic transduction. The proposed device consists of multiple moving magnets guided by elastic beams and coupled by repulsive magnetic forces. A system of two degrees-of-freedom (DOFs) with tunable nonlinearity and mode localization is experimentally validated. The validated 2-DOFs harvester is optimized using a multiobjective optimization procedure to improve its harvested power and frequency bandwidth. An efficient criterion using the modal kinetic energy of the finite element model is proposed to quantify the energy localized in the structure perturbed zones. Afterward, this concept has been generalized to a 5-DOFs VEH with two perturbed DOFs oscillators and the optimal performances are derived using a multiobjective optimization. This proposed model enables a significant increase in the harvested power and frequency bandwidth by 101% and 79%, respectively, compared to that of the 2-DOFs device. Moreover, it has been shown that harvesting energy from two perturbed magnets among five provides almost the same amount of harvested energy and enhances the frequency bandwidth by 18% compared to those of the periodic system. Consequently, the harvester can be improved by reducing the transduction circuits number and the manufacturing cost.

Highlights

  • Over the last years, wearable devices and embedded systems have been increasingly introduced in diverse applications

  • A generic model of a nonlinear quasiperiodic vibration energy harvester (VEH) based on electromagnetic transduction has been studied

  • To quantify the energy localized in the perturbed zones of the quasiperiodic structure, an efficient criterion based on the modal kinetic energy of the finite element model is presented

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Summary

Introduction

Wearable devices and embedded systems have been increasingly introduced in diverse applications. Most vibration energy harvesting devices effectively operate in a narrow bandwidth near to their resonance frequency Their application is limited to specific domains and they can not be used where energy prevails over a larger bandwidth. The researches were oriented to change the natural frequency of a system by controlling its geometrical characteristics [32,33], by introducing external forces [34], via the interaction of the oscillator with the magnetic field [35,36,37,38] or by imposing high displacements [39], etc These methods proved that the introduction of nonlinear dynamics increases significantly the frequency bandwidth of the devices. The obtained results prove that the proposed method provides an efficient tool to design a large harvester with promising performances in terms of harvested power and frequency bandwidth compared to the current state of the art

Proposed Design
Equation of Motion
Modal Localization Phenomenon
Numerical-Experimental Confrontation
Experimental results
Optimization of the Validated Model
Objective
Optimal Position of the Introduced Mistuning
Multiobjective Optimization of the Five-Coupled-Beams Harvester
Conclusions
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