Li Kai, Gan Fenghui, Du Changshen, Cai Guojun, Liu Junxiu
Anhui Province Key Laboratory of Building Structure and Underground Engineering, Anhui Jianzhu University, Hefei 230601, China.
College of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China.
Polymers (Basel). 2022 Jul 28;14(15):3058. doi: 10.3390/polym14153058.
Self-oscillators have the advantages of actively harvesting energy from external steady environment, autonomy, and portability, and can be adopted as an engine to drive additional working equipment. The synchronous behavior of self-oscillators and passive oscillators may have an important impact on their functions. In this paper, we construct a self-oscillating system composed of a passive oscillator and an active liquid crystal elastomer self-oscillator powered by steady illumination, and theoretically investigate the synchronization of two coupled oscillators. There exist three synchronous regimes of the two coupled oscillators: static, in-phase, and anti-phase. The mechanisms of self-oscillations in in-phase and anti-phase synchronous regimes are elucidated in detail by calculating several key physical parameters. In addition, the effects of spring constant, initial velocity, contraction coefficient, light intensity, and damping coefficient on the self-oscillations of two coupled oscillators are further investigated, and the critical conditions for triggering self-oscillations are obtained. Numerical calculations show that the synchronous regime of self-oscillations is mainly determined by the spring constant, and the amplitudes of self-oscillations of two oscillators increase with increasing contraction coefficient, light intensity, and spring constant, while decrease with increasing damping coefficient. This study deepens the understanding of synchronization between coupled oscillators and may provide new design ideas for energy harvesters, soft robotics, signal detection, active motors, and self-sustained machinery.
自振荡器具有从外部稳定环境中主动收集能量、自主性和便携性等优点，并且可以用作驱动其他工作设备的引擎。自振荡器与无源振荡器的同步行为可能会对它们的功能产生重要影响。在本文中，我们构建了一个由无源振荡器和由稳定光照供电的有源液晶弹性体自振荡器组成的自振荡系统，并从理论上研究了两个耦合振荡器的同步情况。两个耦合振荡器存在三种同步状态：静态、同相和反相。通过计算几个关键物理参数，详细阐明了同相和反相同步状态下的自振荡机制。此外，进一步研究了弹簧常数、初始速度、收缩系数、光强度和阻尼系数对两个耦合振荡器自振荡的影响，并获得了触发自振荡的临界条件。数值计算表明，自振荡的同步状态主要由弹簧常数决定，两个振荡器自振荡的幅度随着收缩系数、光强度和弹簧常数的增加而增大，而随着阻尼系数的增加而减小。这项研究加深了对耦合振荡器之间同步的理解，并可能为能量收集器、软机器人技术、信号检测、有源电机和自持机械提供新的设计思路。
