Modeling Bifurcation-Driven Self-Rotation and Pendulum in a Light-Powered LCE Fiber Engine

Yong Yu, Renge Yu, Haoyu Hu and Yuntong Dai ()
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Yong Yu: School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China
Renge Yu: School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China
Haoyu Hu: School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China
Yuntong Dai: School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China

Mathematics, 2025, vol. 13, issue 20, 1-24

Abstract: Self-oscillating systems are capable of transforming ambient energy directly into mechanical output, and exploring novel designs is of great value for energy harvesters, actuators, and engine applications. The inspiration for this study is drawn from the four-stroke engine; we designed a new self-rotating engine formed by a turnplate, a hinge, and an LCE fiber, operating with steady illumination applied. To analyze its rotation dynamics, a nonlinear theoretical framework was formulated constructed with the dynamic LCE model as a framework. The central discovery is that the light-driven LCE engine can operate in three distinct states under steady illumination—static equilibrium, pendulum-like oscillation and sustained self-rotation—switching between them through a supercritical Hopf bifurcation. The persistence of both the pendulum and rotary motions stems from an energy balance in which the positive work produced by photo-induced contraction of the LCE fiber is exactly offset by damping dissipation, while oscillation amplitude and rotation frequency are strongly governed by light intensity, contraction coefficient, damping coefficient, spring constant and turntable radius. Compared with many previously reported self-oscillating designs, the present self-rotating engine is distinctive for its lightweight and simple configuration, tunable size, and rapid operation. These features enable compact integration and broaden its potential applications in micro-scale systems and devices. The advancement in artificial muscles, medical instruments and micro sensors is strongly promoted by this, making it possible to create devices that are both smaller in size and superior in functionality.

Keywords: engine; self-rotation; pendulum; liquid crystal elastomer; light-powered (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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