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Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters

Author

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  • Ma, Xiaoqing
  • Litak, Grzegorz
  • Zhou, Shengxi

Abstract

Nonlinear wind-induced vibration energy harvesters have rich response dynamic behaviors, and diagnosing these response characteristics is crucial for promoting their application. This paper uses the analysis method of “0–1 test” to distinguish response characteristics of bistable and tristable vortex-induced vibration energy harvesters (VIVEHs), and the identification results are compared with the phase portraits, frequency spectrum and Lyapunov exponents. Results indicate that the analysis method of “0–1 test” can effectively distinguish the periodic and chaotic behaviors of the nonlinear VIVEHs by the trajectories of p-q, asymptotic growth rate K(c) and the mean square displacement Mc(n). Overall, this study indicates that the “0–1 test” method is feasible and reliable for identifying the dynamic characteristics of nonlinear vibration energy harvesters, which is meaningful to the optimization analysis of such harvesters.

Suggested Citation

  • Ma, Xiaoqing & Litak, Grzegorz & Zhou, Shengxi, 2025. "Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000499
    DOI: 10.1016/j.chaos.2025.116036
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    References listed on IDEAS

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    1. Rashid Naseer & Huliang Dai & Abdessattar Abdelkefi & Lin Wang, 2019. "Comparative Study of Piezoelectric Vortex-Induced Vibration-Based Energy Harvesters with Multi-Stability Characteristics," Energies, MDPI, vol. 13(1), pages 1-24, December.
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    Cited by:

    1. Zhang, Yinxing & Liu, Yukai & Wang, Tao & Song, Jian & Shen, Tao, 2025. "Complex-valued chaotic model with high chaos complexity and provable Lyapunov exponent," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    2. Shuangchen Ren & Libin Tian & Hui Shen, 2025. "Influence of Potential Well Depth on the Dual−Coupling Beam Energy Harvester: Modeling and Experimental Validation," Energies, MDPI, vol. 18(8), pages 1-17, April.
    3. Li, Xintong & Zhao, Judi & Zhang, Yinxing, 2025. "Generation of one-dimensional complex discrete hyperchaotic maps with hardware implementation," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).

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