Frequency locking in the internal resonance of two electrostatically coupled micro-resonators with frequency ratio 1:3

被引：54
|
作者：
Wang, Xuefeng [1 ]
Huan, Ronghua [1 ]
Zhu, Weiqiu [1 ]
Pu, Dong [1 ]
Wei, Xueyong [2 ]
机构：
[1] Zhejiang Univ, Dept Mech, Key Lab Soft Machines & Smart Devices Zhejiang Pr, Hangzhou 310027, Peoples R China
[2] Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Peoples R China
来源：
MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2021年 / 146卷
基金：
中国国家自然科学基金; 国家重点研发计划;
关键词：
Nonlinear dynamics; Internal resonance; Frequency locking; MEMS; Frequency stability;
D O I：
10.1016/j.ymssp.2020.106981
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The internal resonance of electrostatically coupled cubic nonlinear low-frequency micro-resonator and linear high-frequency micro-resonator is investigated experimentally. A phenomenon of frequency locking is observed at 1:3 frequency ratio of two resonators for the first time when the coupling strength exceeds a certain value. Then the theoretical study is made to explain the frequency locking phenomenon. Finally, this phenomenon is used to enhance the short-time frequency stability of low-frequency resonator nearly 7-fold. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Amplitude region for triggering frequency locking in internal resonance response of two nonlinearly coupled micro-resonators
    Wang, Xuefeng
    Huan, Ronghua
    Zhu, Weiqiu
    Shi, Zhan
    Wei, Xueyong
    Cai, Guoqiang
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2021, 130
  • [2] Frequency comb in 1:3 internal resonance of coupled micromechanical resonators
    Wang, Xuefeng
    Yang, Qiqi
    Huan, Ronghua
    Shi, Zhan
    Zhu, Weiqiu
    Jiang, Zhuangde
    Deng, Zichen
    Wei, Xueyong
    APPLIED PHYSICS LETTERS, 2022, 120 (17)
  • [3] Frequency Modulated Electrostatically Coupled Resonators for Sensing Applications
    Ramezany, Alircza
    Qaradaghi, Vahid
    Kumar, Varun
    Pourkamali, Siavash
    2016 IEEE SENSORS, 2016,
  • [4] New Method for Determining the Quality Factor and Resonance Frequency of Superconducting Micro-Resonators from Sonnet Simulations
    Wisbey, D. S.
    Martin, A.
    Reinisch, A.
    Gao, J.
    JOURNAL OF LOW TEMPERATURE PHYSICS, 2014, 176 (3-4) : 538 - 544
  • [5] New Method for Determining the Quality Factor and Resonance Frequency of Superconducting Micro-Resonators from Sonnet Simulations
    D. S. Wisbey
    A. Martin
    A. Reinisch
    J. Gao
    Journal of Low Temperature Physics, 2014, 176 : 538 - 544
  • [6] Mode interaction induced response flattening in two mechanically coupled micro-resonators
    Shi, Zhan
    Pu, Dong
    Huan, Ronghua
    Wang, Xuefeng
    Jiang, Zhuangde
    Wei, Xueyong
    Mechanical Systems and Signal Processing, 2022, 177
  • [7] Mode interaction induced response flattening in two mechanically coupled micro-resonators
    Shi, Zhan
    Pu, Dong
    Huan, Ronghua
    Wang, Xuefeng
    Jiang, Zhuangde
    Wei, Xueyong
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2022, 177
  • [8] Theoretical insights into 1:2 and 1:3 internal resonance for frequency stabilization in nonlinear micromechanical resonators
    Donmez, Ata
    Herath, Hansaja
    Cho, Hanna
    NONLINEAR DYNAMICS, 2025, : 15943 - 15962
  • [9] NEAR THREE HALF NATURAL FREQUENCY RESONANCE OF ELECTROSTATICALLY ACTUATED MEMS RESONATORS
    Caruntu, Dumitru I.
    Knecht, Martin W.
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2010, VOL 8, PTS A AND B, 2012, : 965 - 970
  • [10] Zero Temperature Coefficient of Frequency in Extensional-Mode Highly Doped Silicon Micro-Resonators
    Shahmohammadi, Mohsen
    Harrington, Brandon P.
    Abdolvand, Reza
    2012 IEEE INTERNATIONAL FREQUENCY CONTROL SYMPOSIUM (FCS), 2012,
12345