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Melnikov method-based broadband mechanisms and necessary conditions of nonlinear rotating energy harvesting using piezoelectric beam

Melnikov method-based broadband mechanisms and necessary conditions of nonlinear rotating energy harvesting using piezoelectric beam
Melnikov method-based broadband mechanisms and necessary conditions of nonlinear rotating energy harvesting using piezoelectric beam
Nonlinearity can be used to enhance broadband rotating piezoelectric vibration energy harvesting, but how to construct a proper nonlinear rotating harvester is a challenging problem in engineering applications. This article presents a Melnikov-theory-based method to explore broadband mechanism and necessary conditions of nonlinear rotating piezoelectric vibration energy harvesting system. First, a perturbed state-space representation of nonlinear rotating energy harvesting system is built based on its dynamic model. It can be seen that bi-stability of the unperturbed nonlinear system is the physical basis of achieving broadband and low-frequency rotating energy harvesting. Second, the Melnikov function is defined to derive two necessary conditions of homoclinic bifurcation and chaotic motions. Then simulations are performed to identify the key parameters and their effects on the Melnikov conditions, including distance, rotating frequency, and excitations. It can be seen that homoclinic bifurcation and chaotic motions can occur in nonlinear rotating energy harvesting systems under single-frequency and broadband excitations. Finally, the experiments are carried out to validate the two necessary conditions. The results demonstrate that the proposed method can provide important guidelines for optimally designing nonlinear rotating piezoelectric energy harvesters in practice.
nonlinear piezoelectric energy harvesting, rotating motions, homoclinic bifurcation, melnikov conditions
1045-389X
2555-2567
Chen, Zhongsheng
9893f775-a26a-4ebe-a4d9-d8224838fc9d
Guo, Bin
6454155d-fa5f-480b-8747-88d06498a923
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Cheng, Congcong
9f135d1e-e063-4b22-b916-4e43e082c3a0
Yang, Yongmin
ebcf182b-0882-4ca6-82f4-6f705b14d1e0
Chen, Zhongsheng
9893f775-a26a-4ebe-a4d9-d8224838fc9d
Guo, Bin
6454155d-fa5f-480b-8747-88d06498a923
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Cheng, Congcong
9f135d1e-e063-4b22-b916-4e43e082c3a0
Yang, Yongmin
ebcf182b-0882-4ca6-82f4-6f705b14d1e0

Chen, Zhongsheng, Guo, Bin, Xiong, Yeping, Cheng, Congcong and Yang, Yongmin (2016) Melnikov method-based broadband mechanisms and necessary conditions of nonlinear rotating energy harvesting using piezoelectric beam. Journal of Intelligent Materials Systems and Structures, 27 (18), 2555-2567. (doi:10.1177/1045389X16635844).

Record type: Article

Abstract

Nonlinearity can be used to enhance broadband rotating piezoelectric vibration energy harvesting, but how to construct a proper nonlinear rotating harvester is a challenging problem in engineering applications. This article presents a Melnikov-theory-based method to explore broadband mechanism and necessary conditions of nonlinear rotating piezoelectric vibration energy harvesting system. First, a perturbed state-space representation of nonlinear rotating energy harvesting system is built based on its dynamic model. It can be seen that bi-stability of the unperturbed nonlinear system is the physical basis of achieving broadband and low-frequency rotating energy harvesting. Second, the Melnikov function is defined to derive two necessary conditions of homoclinic bifurcation and chaotic motions. Then simulations are performed to identify the key parameters and their effects on the Melnikov conditions, including distance, rotating frequency, and excitations. It can be seen that homoclinic bifurcation and chaotic motions can occur in nonlinear rotating energy harvesting systems under single-frequency and broadband excitations. Finally, the experiments are carried out to validate the two necessary conditions. The results demonstrate that the proposed method can provide important guidelines for optimally designing nonlinear rotating piezoelectric energy harvesters in practice.

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More information

Accepted/In Press date: 2 February 2016
e-pub ahead of print date: 7 March 2016
Published date: 1 November 2016
Keywords: nonlinear piezoelectric energy harvesting, rotating motions, homoclinic bifurcation, melnikov conditions
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 388802
URI: http://eprints.soton.ac.uk/id/eprint/388802
ISSN: 1045-389X
PURE UUID: 0b032987-0168-4531-974a-b26526293a44
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

Catalogue record

Date deposited: 11 Mar 2016 17:01
Last modified: 20 Feb 2021 02:36

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