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

Xuefeng Wang; Ronghua Huan; Weiqiu Zhu; Dong Pu; Xueyong Wei

doi:10.1016/j.ymssp.2020.106981

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

Xuefeng Wang
, Ronghua Huan
, Weiqiu Zhu
, Dong Pu
, Xueyong Wei

School of Instrument Science and Technology

Zhejiang University

Research output: Contribution to journal › Article › peer-review

70 Scopus citations

Abstract

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.

Original language	English
Article number	106981
Journal	Mechanical Systems and Signal Processing
Volume	146
DOIs	https://doi.org/10.1016/j.ymssp.2020.106981
State	Published - 1 Jan 2021

Keywords

Frequency locking
Frequency stability
Internal resonance
MEMS
Nonlinear dynamics

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10.1016/j.ymssp.2020.106981

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

abstract = "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.",

keywords = "Frequency locking, Frequency stability, Internal resonance, MEMS, Nonlinear dynamics",

author = "Xuefeng Wang and Ronghua Huan and Weiqiu Zhu and Dong Pu and Xueyong Wei",

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year = "2021",

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T1 - Frequency locking in the internal resonance of two electrostatically coupled micro-resonators with frequency ratio 1:3

AU - Wang, Xuefeng

AU - Huan, Ronghua

AU - Zhu, Weiqiu

AU - Pu, Dong

AU - Wei, Xueyong

PY - 2021/1/1

Y1 - 2021/1/1

N2 - 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.

AB - 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.

KW - Frequency locking

KW - Frequency stability

KW - Internal resonance

KW - MEMS

KW - Nonlinear dynamics

UR - https://www.scopus.com/pages/publications/85086446269

U2 - 10.1016/j.ymssp.2020.106981

DO - 10.1016/j.ymssp.2020.106981

M3 - 文章

AN - SCOPUS:85086446269

SN - 0888-3270

VL - 146

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

M1 - 106981

ER -

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

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Keywords

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