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

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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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    1. Fang, Shitong & Du, Houfan & Yan, Tao & Chen, Keyu & Li, Zhiyuan & Ma, Xiaoqing & Lai, Zhihui & Zhou, Shengxi, 2024. "Theoretical and experimental investigation on the advantages of auxetic nonlinear vortex-induced vibration energy harvesting," Applied Energy, Elsevier, vol. 356(C).
    2. Litak, G. & Syta, A. & Budhraja, M. & Saha, L.M., 2009. "Detection of the chaotic behaviour of a bouncing ball by the 0–1 test," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1511-1517.
    3. Zhou, Zhiyong & Qin, Weiyang & Zhu, Pei & Du, Wenfeng, 2021. "Harvesting more energy from variable-speed wind by a multi-stable configuration with vortex-induced vibration and galloping," Energy, Elsevier, vol. 237(C).
    4. Sun, Wan & Wang, Yiheng & Liu, Yang & Su, Bo & Guo, Tong & Cheng, Guanggui & Zhang, Zhongqiang & Ding, Jianning & Seok, Jongwon, 2024. "Navigating the future of flow-induced vibration-based piezoelectric energy harvesting," Renewable and Sustainable Energy Reviews, Elsevier, vol. 201(C).
    5. Sun, Ruqi & Zhou, Shengxi & Li, Zhongjie & Cheng, Li, 2024. "Dual electromagnetic mechanisms with internal resonance for ultra-low frequency vibration energy harvesting," Applied Energy, Elsevier, vol. 369(C).
    6. 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.
    7. Arkadiusz Syta & Grzegorz Litak & Michael I. Friswell & Sondipon Adhikari, 2016. "Multiple solutions and corresponding power output of a nonlinear bistable piezoelectric energy harvester," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(4), pages 1-7, April.
    8. Litak, Grzegorz & Syta, Arkadiusz & Wiercigroch, Marian, 2009. "Identification of chaos in a cutting process by the 0–1 test," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2095-2101.
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