Liu Zhonghua, Qin Bingchan, Shi Zhan, Wang Xuefeng, Lv Qiangfeng, Wei Xueyong, Huan Ronghua
Department of Civil Engineering, Xiamen University, Xiamen 361005, China.
Department of Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, China.
Micromachines (Basel). 2024 Feb 4;15(2):238. doi: 10.3390/mi15020238.
Synchronization in microstructures is a widely explored domain due to its diverse dynamic traits and promising practical applications. Within synchronization analysis, the synchronization bandwidth serves as a pivotal metric. While current research predominantly focuses on symmetric evaluations of synchronization bandwidth, the investigation into potential asymmetries within nonlinear oscillators remains unexplored, carrying implications for sensor application performance. This paper conducts a comprehensive exploration employing straight and arch beams capable of demonstrating linear, hardening, and softening characteristics to thoroughly scrutinize potential asymmetry within the synchronization region. Through the introduction of weak harmonic forces to induce synchronization within the oscillator, we observe distinct asymmetry within its synchronization range. Additionally, we present a robust theoretical model capable of fully capturing the linear, hardening, and softening traits of resonators synchronized to external perturbation. Further investigation into the effects of feedback strength and phase delay on synchronization region asymmetry, conducted through analytical and experimental approaches, reveals a consistent alignment between theoretical predictions and experimental outcomes. These findings hold promise in providing crucial technical insights to enhance resonator performance and broaden the application landscape of MEMS (Micro-Electro-Mechanical Systems) technology.
由于其多样的动态特性和广阔的实际应用前景，微结构中的同步是一个被广泛研究的领域。在同步分析中，同步带宽是一个关键指标。虽然目前的研究主要集中在同步带宽的对称评估上，但对非线性振荡器中潜在不对称性的研究仍未开展，这对传感器应用性能具有重要意义。本文采用能够展现线性、硬化和软化特性的直梁和拱梁进行全面探索，以深入研究同步区域内的潜在不对称性。通过引入弱谐波力来诱导振荡器内的同步，我们观察到其同步范围内存在明显的不对称性。此外，我们提出了一个强大的理论模型，该模型能够充分捕捉与外部扰动同步的谐振器的线性、硬化和软化特性。通过分析和实验方法进一步研究反馈强度和相位延迟对同步区域不对称性的影响，结果表明理论预测与实验结果一致。这些发现有望为提高谐振器性能和拓宽微机电系统（MEMS）技术的应用前景提供关键的技术见解。
