A Broadband Energy Harvester with Three-to-One Internal Resonance

Le Yang; Wenan Jiang; Xingjian Jing; Liqun Chen

doi:10.1007/978-981-97-0554-2_16

A Broadband Energy Harvester with Three-to-One Internal Resonance

Le Yang
, Wenan Jiang^*
, Xingjian Jing
, Liqun Chen

^*Corresponding author for this work

Jiangsu University
City University of Hong Kong
Shanghai University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this study, we present a novel two-degree-of-freedom (TDOF) nonlinear energy harvester with internal resonance. To show the performance, a TDOF nonlinear electromagnetic harvester is designed and the mathematical model is derived. The electromechanical coupling system is solved by adopting the harmonic balance method, and the first-order harmonic solutions of the system are provided. The displacement and current frequency response curves are created along with the modulation equations. The advantage of the proposed harvester is that compared to the conventional single-degree-of-freedom (SDOF) nonlinear model and the corresponding TDOF linear system, the results achieve that the proposed scheme can enhance the bandwidth of the harvesting energy. The influences of different excitation amplitudes f₁ and f₂ on the response are discussed. The accuracy of the analytical first-order harmonic results is demonstrated by numerical simulations, and the existence of multiple periodic solutions for time history at the same external force frequencies is quantitatively proved.

Original language	English
Title of host publication	Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023
Editors	Xingjian Jing, Hu Ding, Jinchen Ji, Daniil Yurchenko
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	209-220
Number of pages	12
ISBN (Print)	9789819705535
DOIs	https://doi.org/10.1007/978-981-97-0554-2_16
State	Published - 2024
Externally published	Yes
Event	International Conference on Applied Nonlinear Dynamics, Vibration, and Control, ICANDVC 2023 - Kowloon, Hong Kong Duration: 4 Dec 2023 → 6 Dec 2023

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	1152
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	International Conference on Applied Nonlinear Dynamics, Vibration, and Control, ICANDVC 2023
Country/Territory	Hong Kong
City	Kowloon
Period	4/12/23 → 6/12/23

Keywords

Broadband
Internal resonance
Nonlinearity
Vibration energy harvesting

Access to Document

10.1007/978-981-97-0554-2_16

Cite this

Yang, L., Jiang, W., Jing, X., & Chen, L. (2024). A Broadband Energy Harvester with Three-to-One Internal Resonance. In X. Jing, H. Ding, J. Ji, & D. Yurchenko (Eds.), Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023 (pp. 209-220). (Lecture Notes in Electrical Engineering; Vol. 1152). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-97-0554-2_16

Yang, Le ; Jiang, Wenan ; Jing, Xingjian et al. / A Broadband Energy Harvester with Three-to-One Internal Resonance. Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023. editor / Xingjian Jing ; Hu Ding ; Jinchen Ji ; Daniil Yurchenko. Springer Science and Business Media Deutschland GmbH, 2024. pp. 209-220 (Lecture Notes in Electrical Engineering).

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abstract = "In this study, we present a novel two-degree-of-freedom (TDOF) nonlinear energy harvester with internal resonance. To show the performance, a TDOF nonlinear electromagnetic harvester is designed and the mathematical model is derived. The electromechanical coupling system is solved by adopting the harmonic balance method, and the first-order harmonic solutions of the system are provided. The displacement and current frequency response curves are created along with the modulation equations. The advantage of the proposed harvester is that compared to the conventional single-degree-of-freedom (SDOF) nonlinear model and the corresponding TDOF linear system, the results achieve that the proposed scheme can enhance the bandwidth of the harvesting energy. The influences of different excitation amplitudes f1 and f2 on the response are discussed. The accuracy of the analytical first-order harmonic results is demonstrated by numerical simulations, and the existence of multiple periodic solutions for time history at the same external force frequencies is quantitatively proved.",

keywords = "Broadband, Internal resonance, Nonlinearity, Vibration energy harvesting",

author = "Le Yang and Wenan Jiang and Xingjian Jing and Liqun Chen",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.; International Conference on Applied Nonlinear Dynamics, Vibration, and Control, ICANDVC 2023 ; Conference date: 04-12-2023 Through 06-12-2023",

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Yang, L, Jiang, W, Jing, X & Chen, L 2024, A Broadband Energy Harvester with Three-to-One Internal Resonance. in X Jing, H Ding, J Ji & D Yurchenko (eds), Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023. Lecture Notes in Electrical Engineering, vol. 1152, Springer Science and Business Media Deutschland GmbH, pp. 209-220, International Conference on Applied Nonlinear Dynamics, Vibration, and Control, ICANDVC 2023, Kowloon, Hong Kong, 4/12/23. https://doi.org/10.1007/978-981-97-0554-2_16

A Broadband Energy Harvester with Three-to-One Internal Resonance. / Yang, Le; Jiang, Wenan; Jing, Xingjian et al.
Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023. ed. / Xingjian Jing; Hu Ding; Jinchen Ji; Daniil Yurchenko. Springer Science and Business Media Deutschland GmbH, 2024. p. 209-220 (Lecture Notes in Electrical Engineering; Vol. 1152).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A Broadband Energy Harvester with Three-to-One Internal Resonance

AU - Yang, Le

AU - Jiang, Wenan

AU - Jing, Xingjian

AU - Chen, Liqun

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

PY - 2024

Y1 - 2024

N2 - In this study, we present a novel two-degree-of-freedom (TDOF) nonlinear energy harvester with internal resonance. To show the performance, a TDOF nonlinear electromagnetic harvester is designed and the mathematical model is derived. The electromechanical coupling system is solved by adopting the harmonic balance method, and the first-order harmonic solutions of the system are provided. The displacement and current frequency response curves are created along with the modulation equations. The advantage of the proposed harvester is that compared to the conventional single-degree-of-freedom (SDOF) nonlinear model and the corresponding TDOF linear system, the results achieve that the proposed scheme can enhance the bandwidth of the harvesting energy. The influences of different excitation amplitudes f1 and f2 on the response are discussed. The accuracy of the analytical first-order harmonic results is demonstrated by numerical simulations, and the existence of multiple periodic solutions for time history at the same external force frequencies is quantitatively proved.

AB - In this study, we present a novel two-degree-of-freedom (TDOF) nonlinear energy harvester with internal resonance. To show the performance, a TDOF nonlinear electromagnetic harvester is designed and the mathematical model is derived. The electromechanical coupling system is solved by adopting the harmonic balance method, and the first-order harmonic solutions of the system are provided. The displacement and current frequency response curves are created along with the modulation equations. The advantage of the proposed harvester is that compared to the conventional single-degree-of-freedom (SDOF) nonlinear model and the corresponding TDOF linear system, the results achieve that the proposed scheme can enhance the bandwidth of the harvesting energy. The influences of different excitation amplitudes f1 and f2 on the response are discussed. The accuracy of the analytical first-order harmonic results is demonstrated by numerical simulations, and the existence of multiple periodic solutions for time history at the same external force frequencies is quantitatively proved.

KW - Broadband

KW - Internal resonance

KW - Nonlinearity

KW - Vibration energy harvesting

UR - https://www.scopus.com/pages/publications/85186640740

U2 - 10.1007/978-981-97-0554-2_16

DO - 10.1007/978-981-97-0554-2_16

M3 - 会议稿件

AN - SCOPUS:85186640740

SN - 9789819705535

T3 - Lecture Notes in Electrical Engineering

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EP - 220

BT - Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023

A2 - Jing, Xingjian

A2 - Ding, Hu

A2 - Ji, Jinchen

A2 - Yurchenko, Daniil

PB - Springer Science and Business Media Deutschland GmbH

T2 - International Conference on Applied Nonlinear Dynamics, Vibration, and Control, ICANDVC 2023

Y2 - 4 December 2023 through 6 December 2023

ER -

Yang L, Jiang W, Jing X, Chen L. A Broadband Energy Harvester with Three-to-One Internal Resonance. In Jing X, Ding H, Ji J, Yurchenko D, editors, Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 - The Proceedings of 2023 International Conference on Applied Nonlinear Dynamics, Vibration, and Control ICANDVC2023. Springer Science and Business Media Deutschland GmbH. 2024. p. 209-220. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-981-97-0554-2_16