Efficiency of mono-stable piezoelectric Duffing energy harvester in the secondary resonances by averaging method, Part 2: Super-harmonic resonance

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

International Journal of Non Linear Mechanics

Publication Status

Version of Record

Abstract

In the paper, the potential of harvesting vibratory energy via a mono-stable Duffing energy harvester with base excitation in super-harmonic resonance is investigated. The averaging method is exploited to provide an approximate analytical solution for the system. The displacement and voltage responses are determined depending explicitly on the displacement amplitude and excitation frequency. The explicit approximate analytical expressions of the peak amplitude and corresponding base excitation frequency are also presented. Next, a detailed power flow analysis in super-harmonic resonance is made, then formulations for input mechanical power and energy, useful electrical power and energy, and efficiency are obtained, respectively. Numerical simulations are carried out to show qualitative comparisons between sup- and sub-harmonic cases and linear cases at corresponding base excitation frequencies. It is obtained that super- and sub-harmonic resonances are effective solutions to enlarge the performance of nonlinear piezoelectric energy harvester in wide-band excitation, especially compared to linear one that only works at a single frequency.

DOI

10.1016/j.ijnonlinmec.2021.103817

Publication Date

12-1-2021

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