Efficiency of mono-stable piezoelectric Duffing energy harvester in the secondary resonances by averaging method. Part 1: Sub-harmonic resonance

The smart structures with the harmonic nonlinear vibration are used widely to broaden the frequency range of vibrations energy harvesting. In the paper, the potential of harvesting vibratory energy via a mono-stable Duffing energy harvester subjected to sub-harmonic excitation is investigated. The a...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2020-11, Vol.126, p.103537, Article 103537
Main Authors: Anh, N.D., Linh, Nguyen Ngoc, Manh, Nguyen Van, Tuan, Vu Anh, Kuu, Nguyen Van, Nguyen, Anh Tay, Elishakoff, Isaac
Format: Article
Language:English
Subjects:
Averaging method
Duffing harvester
Efficiency
Energy harvesting
Frequency ranges
Harmonic excitation
Piezoelectric
Piezoelectricity
Smart structures
Sub-harmonic
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Summary:The smart structures with the harmonic nonlinear vibration are used widely to broaden the frequency range of vibrations energy harvesting. In the paper, the potential of harvesting vibratory energy via a mono-stable Duffing energy harvester subjected to sub-harmonic excitation is investigated. The averaging method is used to derive the approximate solutions of the electromechanical linkage management equation system. The output voltage, power and energy harvesting efficiency of the harvester are investigated. •The significant advantages of the averaging method, namely its applicability to both weekly and strongly nonlinear systems subject to deterministic or/and random excitations are exploited in this paper.•For the first time in the literature we present the first application of this versatile methodology to the problems of piezoelectric nonlinear energy harvesters subjected to deterministic excitation.•We study the energy harvesting via a mono-stable Duffing oscillator exhibiting piezoelectric electromechanical coupling in the secondary resonances. The averaging method is used to derive the theoretical solutions of the electromechanical linkage management equation system, the output voltage, the power and energy harvesting efficiency of the harvester.•We treat the sub-harmonic resonance of this coupling nonlinear system, as well as efficiency of sub-harmonic resonance of piezoelectric Duffing energy harvester, along with attendant numerical simulations and derived conclusions.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2020.103537