Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators

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 s...

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Main Authors: Zhonghua Liu, Bingchan Qin, Zhan Shi, Xuefeng Wang, Qiangfeng Lv, Xueyong Wei, Ronghua Huan
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/15/2/238
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author Zhonghua Liu
Bingchan Qin
Zhan Shi
Xuefeng Wang
Qiangfeng Lv
Xueyong Wei
Ronghua Huan
author_facet Zhonghua Liu
Bingchan Qin
Zhan Shi
Xuefeng Wang
Qiangfeng Lv
Xueyong Wei
Ronghua Huan
author_sort Zhonghua Liu
collection DOAJ
description 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.
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spelling doaj.art-48ed2263db844262b13c782fd58c1acb2024-02-23T15:27:43ZengMDPI AGMicromachines2072-666X2024-02-0115223810.3390/mi15020238Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical OscillatorsZhonghua Liu0Bingchan Qin1Zhan Shi2Xuefeng Wang3Qiangfeng Lv4Xueyong Wei5Ronghua Huan6Department of Civil Engineering, Xiamen University, Xiamen 361005, ChinaDepartment of Civil Engineering, Xiamen University, Xiamen 361005, ChinaDepartment of Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, ChinaDepartment of Engineering Mechanics, MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi’an 710072, ChinaDepartment of Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaDepartment of Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, ChinaSynchronization 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.https://www.mdpi.com/2072-666X/15/2/238MEMSsynchronizationasymmetry synchronization regionnonlinear dynamics
spellingShingle Zhonghua Liu
Bingchan Qin
Zhan Shi
Xuefeng Wang
Qiangfeng Lv
Xueyong Wei
Ronghua Huan
Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators
Micromachines
MEMS
synchronization
asymmetry synchronization region
nonlinear dynamics
title Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators
title_full Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators
title_fullStr Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators
title_full_unstemmed Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators
title_short Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators
title_sort nonlinearity induced asymmetric synchronization region in micromechanical oscillators
topic MEMS
synchronization
asymmetry synchronization region
nonlinear dynamics
url https://www.mdpi.com/2072-666X/15/2/238
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AT xuefengwang nonlinearityinducedasymmetricsynchronizationregioninmicromechanicaloscillators
AT qiangfenglv nonlinearityinducedasymmetricsynchronizationregioninmicromechanicaloscillators
AT xueyongwei nonlinearityinducedasymmetricsynchronizationregioninmicromechanicaloscillators
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