Broadband energy harvesting based on one-to-one internal resonance

doi:10.1088/1674-1056/aba5fd

Abstract

We design an electromechanical transducer harvesting system with one-to-one internal resonance that can emerge a broader spectrum vibrations. The novel harvester is composed of a Duffing electrical circuit coupled to a mobile rod, and the coupling between both components is realized via the electromagnetic force. Approximate analytical solutions of the electromechanical system are carried out by introducing the multiple scales analysis, also the nonlinear modulation equation for one-to-one internal resonance is obtained. The character of broadband harvesting performance are analyzed, the two peaks and one jump phenomenon bending to the right for variation of control parameters are observed. It is shown that an advanced bandwidth over a corresponding linear model that does not possess a modal energy interchange.

Keywords: energy harvesting internal resonance broadband nonlinear modal interactions

Received: 14 April 2020
Revised: 06 July 2020
Accepted manuscript online: 15 July 2020

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	77.65.-j	(Piezoelectricity and electromechanical effects)

Corresponding Authors: ^†Corresponding author. E-mail: xjhan@mail.ujs.edu.cn

About author:

†Corresponding author. E-mail: xjhan@mail.ujs.edu.cn

* Project supported by the National Natural Science Foundation of China (Grant Nos. 11632008 and 11702119), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20170565), China Postdoctoral Science Foundation (Grant No. 2020M671353), and Jiangsu Planned Projects for Postdoctoral Research Funds, China (Grant No. 2020Z376).

Cite this article:

Wen-An Jiang(姜文安), Xin-Dong Ma(马新东), Xiu-Jing Han(韩修静)†, Li-Qun Chen(陈立群), and Qin-Sheng Bi(毕勤胜) Broadband energy harvesting based on one-to-one internal resonance 2020 Chin. Phys. B 29 100503

Fig. 1.

Schematic diagram of the electromechanical transducer vibratory energy harvesters.

Fig. 2.

Model of nonlinear capacitor.^[42]

Fig. 3.

Frequency-resonance curves for different amplitudes of voltage source.

Fig. 4.

Frequency-resonance curves for different cubic nonlinear coefficients.

Fig. 5.

Frequency-resonance curves for different resistors R₁.

Fig. 6.

Frequency-resonance curves for different damping coefficients.

Fig. 7.

Frequency-resonance curves for different magnetic strengths B₁.

Fig. 8.

Frequency-resonance curves for different magnetic strengths B₂.

Fig. 9.

Comparison of the internal resonance and the linear results.

Fig. 10.

Comparison of the analytical and the numerical results.

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