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
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
  • [31] Voltage effect on amplitude–frequency response of parametric resonance of electrostatically actuated double-walled carbon nanotube resonators
    Dumitru I. Caruntu
    Ezequiel Juarez
    Nonlinear Dynamics, 2019, 98 : 3095 - 3112
  • [32] Improved spectral flatness and sub-two-cycle pulse generation in octave-spanning Kerr frequency combs using micro-resonators with two zero-dispersion wavelengths
    Zhang, Lin
    Mu, Jianwei
    Singh, Vivek
    Lin, Pao-Tai
    Patel, Neil
    Agarwal, Anu
    Kimerling, Lionel C.
    Michel, Jurgen
    2013 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2013,
  • [33] Low-frequency two-dimensional resonators for vibrational micro energy harvesting
    Bartsch, U.
    Gaspar, J.
    Paul, O.
    JOURNAL OF MICROMECHANICS AND MICROENGINEERING, 2010, 20 (03)
  • [34] Microwave Frequency Demodulation Using two Coupled Optical Resonators with Modulated Refractive Index
    Mock, Adam
    PHYSICAL REVIEW APPLIED, 2021, 15 (03)
  • [35] Investigation of a serially coupled double microsphere resonator to expand resonance frequency spacing of microsphere resonators
    Saffari, Marzieh
    Gholami, Asghar
    Latifi, Hamid
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2016, 33 (09) : 1993 - 1999
  • [36] Internal Resonance Phenomena in Coupled Ductile Cantilevers With Triple Frequency Ratio-Part II: A Mass Sensitivity Amplification Schemes
    Du, Xu
    Wang, Dong F.
    Xia, Cao
    Shimoyama, Isao
    Maeda, Ryutaro
    IEEE SENSORS JOURNAL, 2019, 19 (14) : 5484 - 5492
  • [37] Frequency Stabilization in a MEMS Oscillator with 1:2 Internal Resonance
    Yu, Jun
    Asadi, Keivan
    Brahmi, Hatem
    Cho, Hanna
    Nezmi, Saman
    Lee, Soobum
    2019 6TH IEEE INTERNATIONAL SYMPOSIUM ON INERTIAL SENSORS & SYSTEMS (INERTIAL 2019), 2019,
  • [38] Voltage effect on amplitude-frequency response of parametric resonance of electrostatically actuated double-walled carbon nanotube resonators
    Caruntu, Dumitru I.
    Juarez, Ezequiel
    NONLINEAR DYNAMICS, 2019, 98 (04) : 3095 - 3112
  • [39] Diode-pumped cw tunable two-frequency YAG:Nd3+ laser with coupled resonators
    Gudelev, VG
    Mashko, VV
    Nikeenko, NK
    Ryabtsev, GI
    Stalmashonak, AB
    Teplyashin, LL
    APPLIED PHYSICS B-LASERS AND OPTICS, 2003, 76 (03): : 249 - 252
  • [40] Diode-pumped cw tunable two-frequency YAG:Nd3+ laser with coupled resonators
    V.G. Gudelev
    V.V. Mashko
    N.K. Nikeenko
    G.I. Ryabtsev
    A.B. Stalmashonak
    L.L. Teplyashin
    Applied Physics B, 2003, 76 : 249 - 252