首页|Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field

Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field

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Self-oscillating systems abound in the natural world and offer substantial potential for applications in controllers,micro-motors,medical equipments,and so on.Currently,numerical methods have been widely utilized for obtaining the characteristics of self-oscillation including amplitude and frequency.However,numerical methods are burdened by intricate computations and limited precision,hindering comprehensive in-vestigations into self-oscillating systems.In this paper,the stability of a liquid crystal elastomer fiber self-oscillating system under a linear temperature field is studied,and analytical solutions for the amplitude and frequency are determined.Initially,we estab-lish the governing equations of self-oscillation,elucidate two motion regimes,and reveal the underlying mechanism.Subsequently,we conduct a stability analysis and employ a multi-scale method to obtain the analytical solutions for the amplitude and frequency.The results show agreement between the multi-scale and numerical methods.This re-search contributes to the examination of diverse self-oscillating systems and advances the theoretical analysis of self-oscillating systems rooted in active materials.

self-oscillationstability analysismulti-scale methodliquid crystal elas-tomerlinear temperature field

Haiyang WU、Jiangfeng LOU、Biao ZHANG、Yuntong DAI、Kai LI

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School of Civil Engineering,Anhui Jianzhu University,Hefei 230601,China

国家自然科学基金安徽省自然科学基金University Natural Science Research Project of Anhui Province of ChinaHousing and Urban-Rural Development Science and Technology Project of Anhui Province of China

121720012208085Y012022AH0200292023-YF129

2024

10.1007/s10483-024-3080-5

应用数学和力学(英文版)
上海大学

应用数学和力学(英文版)

影响因子：0.294
ISSN：0253-4827
年,卷(期)：2024.45(2)
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