恒定光强下液晶弹性体管的自旋

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-22 DOI:10.1016/j.cnsns.2024.108296
Yunlong Qiu, Yuntong Dai, Kai Li
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引用次数: 0

摘要

自振荡运动能够自主地将环境动力转化为重复运动,而无需额外的控制单元,设计更多的自振荡运动可以扩大其在能源提取、机器人系统和传感器中的应用。然而,周期性的自振荡运动往往会导致结构不稳定并增加摩擦。为了解决这些难题,我们创造性地开发了一种在恒定光照强度下的零能量模式自旋液晶弹性体(LCE)管质系统。通过提出非线性动力学模型和使用四阶 Runge-Kutta 方法,计算结果表明,液晶弹性体管在垂直光照下保持静止,而在非垂直光照下则发展为零能动模式自旋状态。自旋状态通过收集环境光能自我维持,有助于抵消阻尼损失。此外,自旋频率可通过调整光照角度、收缩系数、光照强度、弹性模量、半径和阻尼系数来控制。平移阻尼对自旋频率没有影响,弹性模量也不会影响自由端 X 轴位移。所提出的自旋 LCE 管系统有别于现有的众多自振荡系统,具有零能动模式运动、结构简单和多参数可控等优势,有望为电机、软机器人、能量收集器、微型机械等应用领域带来更多设计机会。
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Self-spinning of liquid crystal elastomer tubes under constant light intensity

Self-oscillating motion have the capacity to autonomously converting ambient power into repetitive motion without requiring an additional control unit, and designing more self-oscillating can broaden their utilization in energy extraction, robotic systems, and sensors. However, cyclic self-oscillating motions often cause structural instability and increase friction. To address these challenges, we creatively developed a zero-energy-mode self-spinning liquid crystal elastomer (LCE) tube-mass system under constant light intensity. By proposing a nonlinear dynamic model and using fourth-order Runge-Kutta method, the computational findings suggest that the LCE tube stays stationary when exposed to vertical light while develops into a zero-energy-mode self-spinning state under non-vertical light. The self-spinning state is self-sustained through harvesting ambient light energy, helping counteract the damping loss. In addition, the self-spinning frequency is controllable by tuning the light angle, contraction coefficient, light intensity, elastic modulus, radius, and damping coefficient. The translational damping has no impact on the self-spinning frequency, and the elastic modulus does not affect the X-axis displacement of the free end. The proposed self-spinning LCE tube system, differing from numerous existing self-oscillating systems, offers advantages like zero-energy-mode motion, structural simplicity, and controllability across multiple parameters, promising expanded design opportunities for applications such as motors, soft robotics, energy collectors, micro-machines, and beyond.

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来源期刊
Communications in Nonlinear Science and Numerical Simulation
Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
CiteScore
6.80
自引率
7.70%
发文量
378
审稿时长
78 days
期刊介绍: The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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