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Bifurcation analysis in liquid crystal elastomer spring self-oscillators under linear light fields

Author

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  • Wu, Haiyang
  • Lou, Jiangfeng
  • Dai, Yuntong
  • Zhang, Biao
  • Li, Kai

Abstract

Self-oscillating systems based on active materials have been extensively constructed, which are emerging as attractive candidates for promising applications including energy harvesting, autonomous robotics, actuators, and so on. Currently, the properties of self-oscillations, such as amplitude, frequency, and bifurcation points, are generally obtained by numerical methods, which limits their applications. In this paper, we construct a light-fueled spring self-oscillator system, perform bifurcation analysis, and derive analytical solutions for the amplitude and frequency of the self-oscillations. The proposed spring self-oscillator system is composed of a liquid crystal elastomer (LCE) fiber and a mass under a linear light field. Based on the well-established dynamic LCE model, the governing equations of the system are derived and linearized. Through numerical calculation, two motion regimes of the system are found and the mechanism of self-oscillation is revealed. Moreover, the multi-scale method is employed for solving the governing equations and deriving the analytical solutions for frequency, amplitude, and bifurcation points. Following this, the study examines how system parameters impact frequency, amplitude, and bifurcation points, demonstrating agreement between the analytical results and numerical results. The straightforward analysis of the self-oscillating systems through the well-known multi-scale method greatly aids in the design and control of such systems. Meanwhile, the results furnish new insights into understanding of self-oscillating phenomenon and provide a broader range of design concepts applicable to soft robotics, sensors, and energy harvesters.

Suggested Citation

  • Wu, Haiyang & Lou, Jiangfeng & Dai, Yuntong & Zhang, Biao & Li, Kai, 2024. "Bifurcation analysis in liquid crystal elastomer spring self-oscillators under linear light fields," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001383
    DOI: 10.1016/j.chaos.2024.114587
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    References listed on IDEAS

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    1. Hao Zeng & Markus Lahikainen & Li Liu & Zafar Ahmed & Owies M. Wani & Meng Wang & Hong Yang & Arri Priimagi, 2019. "Light-fuelled freestyle self-oscillators," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    2. Zhao, Dong & Liu, Ying, 2020. "A prototype for light-electric harvester based on light sensitive liquid crystal elastomer cantilever," Energy, Elsevier, vol. 198(C).
    3. Anne Helene Gelebart & Dirk Jan Mulder & Michael Varga & Andrew Konya & Ghislaine Vantomme & E. W. Meijer & Robin L. B. Selinger & Dirk J. Broer, 2017. "Making waves in a photoactive polymer film," Nature, Nature, vol. 546(7660), pages 632-636, June.
    4. Xiao-Qiao Wang & Chuan Fu Tan & Kwok Hoe Chan & Xin Lu & Liangliang Zhu & Sang-Woo Kim & Ghim Wei Ho, 2018. "In-built thermo-mechanical cooperative feedback mechanism for self-propelled multimodal locomotion and electricity generation," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    5. Kamlesh Kumar & Christopher Knie & David Bléger & Mark A. Peletier & Heiner Friedrich & Stefan Hecht & Dirk J. Broer & Michael G. Debije & Albertus P. H. J. Schenning, 2016. "A chaotic self-oscillating sunlight-driven polymer actuator," Nature Communications, Nature, vol. 7(1), pages 1-8, September.
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    1. Xu, Peibao & Chen, Yaqi & Sun, Xin & Dai, Yuntong & Li, Kai, 2024. "Light-powered self-sustained chaotic motion of a liquid crystal elastomer-based pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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