Nonlinear dynamic characteristics of the multistable wake-galloping energy harvester

Xiaoqing Ma; Gantong Chen; Zhiyuan Li; Grzegorz Litak; Shengxi Zhou

doi:10.1007/s11071-024-09617-5

Nonlinear dynamic characteristics of the multistable wake-galloping energy harvester

Xiaoqing Ma, Gantong Chen, Zhiyuan Li, Grzegorz Litak, Shengxi Zhou

School of Aeronautics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

To improve the energy harvesting performance of flow-induced vibration energy harvesters, this paper proposes the design of the nonlinear multistable wake-galloping energy harvester. The corresponding lumped-parameter model is established to use for theoretical analysis. The homoclinic and heteroclinic orbits of nonlinear bistable and tristable wake-galloping energy harvesters are theoretically calculated by using the Padé approximation method providing a foundation for the applying of the Melnikov method. Finally, the threshold value of chaotic motions for the harvester is calculated by using the Melnikov method, and the results are verified by numerical simulations. Overall, this study provides a foundation for theoretically prediction of the chaotic motion of nonlinear flow-induced vibration energy harvesters, and provides guidance for the structural design.

Original language	English
Pages (from-to)	10937-10958
Number of pages	22
Journal	Nonlinear Dynamics
Volume	112
Issue number	13
DOIs	https://doi.org/10.1007/s11071-024-09617-5
State	Published - Jul 2024

Keywords

Chaos
Energy harvesting
Melnikov method
Multistable
Wake-galloping

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10.1007/s11071-024-09617-5

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abstract = "To improve the energy harvesting performance of flow-induced vibration energy harvesters, this paper proposes the design of the nonlinear multistable wake-galloping energy harvester. The corresponding lumped-parameter model is established to use for theoretical analysis. The homoclinic and heteroclinic orbits of nonlinear bistable and tristable wake-galloping energy harvesters are theoretically calculated by using the Pad{\'e} approximation method providing a foundation for the applying of the Melnikov method. Finally, the threshold value of chaotic motions for the harvester is calculated by using the Melnikov method, and the results are verified by numerical simulations. Overall, this study provides a foundation for theoretically prediction of the chaotic motion of nonlinear flow-induced vibration energy harvesters, and provides guidance for the structural design.",

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AU - Ma, Xiaoqing

AU - Chen, Gantong

AU - Li, Zhiyuan

AU - Litak, Grzegorz

AU - Zhou, Shengxi

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature B.V. 2024.

PY - 2024/7

Y1 - 2024/7

N2 - To improve the energy harvesting performance of flow-induced vibration energy harvesters, this paper proposes the design of the nonlinear multistable wake-galloping energy harvester. The corresponding lumped-parameter model is established to use for theoretical analysis. The homoclinic and heteroclinic orbits of nonlinear bistable and tristable wake-galloping energy harvesters are theoretically calculated by using the Padé approximation method providing a foundation for the applying of the Melnikov method. Finally, the threshold value of chaotic motions for the harvester is calculated by using the Melnikov method, and the results are verified by numerical simulations. Overall, this study provides a foundation for theoretically prediction of the chaotic motion of nonlinear flow-induced vibration energy harvesters, and provides guidance for the structural design.

AB - To improve the energy harvesting performance of flow-induced vibration energy harvesters, this paper proposes the design of the nonlinear multistable wake-galloping energy harvester. The corresponding lumped-parameter model is established to use for theoretical analysis. The homoclinic and heteroclinic orbits of nonlinear bistable and tristable wake-galloping energy harvesters are theoretically calculated by using the Padé approximation method providing a foundation for the applying of the Melnikov method. Finally, the threshold value of chaotic motions for the harvester is calculated by using the Melnikov method, and the results are verified by numerical simulations. Overall, this study provides a foundation for theoretically prediction of the chaotic motion of nonlinear flow-induced vibration energy harvesters, and provides guidance for the structural design.

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KW - Melnikov method

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Nonlinear dynamic characteristics of the multistable wake-galloping energy harvester

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Keywords

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