Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator

Jiangkun Sun; Hemin Zhang; Dongyang Chen; Milind Pandit; Guillermo Sobreviela; DIngbang Xiao; Ming Zhuo; Dustin D. Gerrard; Ryan Kwon; Gabrielle Vukasin; Thomas W. Kenny; Ashwin Seshia

doi:10.1109/MEMS46641.2020.9056349

Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator

Jiangkun Sun
, Hemin Zhang
, Dongyang Chen
, Milind Pandit
, Guillermo Sobreviela
, DIngbang Xiao
, Ming Zhuo
, Dustin D. Gerrard
, Ryan Kwon
, Gabrielle Vukasin
, Thomas W. Kenny
, Ashwin Seshia

University of Cambridge
National University of Defense Technology
Stanford University

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

6 引用（Scopus）

摘要

In this paper, nonlinear modal interactions in a micromachined disk resonator with 2:1 internal resonance are demonstrated. By means of the multiple scales method, two types of transition from stable to unstable behavior including jump phenomena and modulated motion corresponding to M-shaped responses are explained in a coupled nonlinear system dominated by quadratic nonlinearity. At the same time, these exotic responses and stability under different driving forces and the strength of internal resonance are also investigated. Furthermore, the frequency and amplitude stability and signal-to-noise ratio (SNR) can be improved under this condition.

源语言	英语
主期刊名	33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020
出版商	Institute of Electrical and Electronics Engineers Inc.
页	769-772
页数	4
ISBN（电子版）	9781728135809
DOI	https://doi.org/10.1109/MEMS46641.2020.9056349
出版状态	已出版 - 1月 2020
已对外发布	是
活动	33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020 - Vancouver, 加拿大期限: 18 1月 2020 → 22 1月 2020

丛书

姓名	Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS)
卷	2020-January
ISSN（印刷版）	1084-6999

会议

会议	33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020
国家/地区	加拿大
市	Vancouver
时期	18/01/20 → 22/01/20

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10.1109/MEMS46641.2020.9056349

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引用此

Sun, J., Zhang, H., Chen, D., Pandit, M., Sobreviela, G., Xiao, DI., Zhuo, M., Gerrard, D. D., Kwon, R., Vukasin, G., Kenny, T. W., & Seshia, A. (2020). Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator. 在 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020 (页码 769-772). 期刊论文 9056349 (Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS); 卷 2020-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MEMS46641.2020.9056349

Sun, Jiangkun ; Zhang, Hemin ; Chen, Dongyang 等. / Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator. 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020. Institute of Electrical and Electronics Engineers Inc., 2020. 页码 769-772 (Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS)).

@inproceedings{396aa3eff30449c4a37c89971c564aa2,

title = "Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator",

abstract = "In this paper, nonlinear modal interactions in a micromachined disk resonator with 2:1 internal resonance are demonstrated. By means of the multiple scales method, two types of transition from stable to unstable behavior including jump phenomena and modulated motion corresponding to M-shaped responses are explained in a coupled nonlinear system dominated by quadratic nonlinearity. At the same time, these exotic responses and stability under different driving forces and the strength of internal resonance are also investigated. Furthermore, the frequency and amplitude stability and signal-to-noise ratio (SNR) can be improved under this condition.",

keywords = "Internal resonance, multiple scales method, nonlinear modal interactions, quadratic nonlinearity",

author = "Jiangkun Sun and Hemin Zhang and Dongyang Chen and Milind Pandit and Guillermo Sobreviela and DIngbang Xiao and Ming Zhuo and Gerrard, \{Dustin D.\} and Ryan Kwon and Gabrielle Vukasin and Kenny, \{Thomas W.\} and Ashwin Seshia",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020 ; Conference date: 18-01-2020 Through 22-01-2020",

year = "2020",

month = jan,

doi = "10.1109/MEMS46641.2020.9056349",

language = "英语",

series = "Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS)",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "769--772",

booktitle = "33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020",

}

Sun, J, Zhang, H, Chen, D, Pandit, M, Sobreviela, G, Xiao, DI, Zhuo, M, Gerrard, DD, Kwon, R, Vukasin, G, Kenny, TW & Seshia, A 2020, Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator. 在 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020., 9056349, Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS), 卷 2020-January, Institute of Electrical and Electronics Engineers Inc., 页码 769-772, 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020, Vancouver, 加拿大, 18/01/20. https://doi.org/10.1109/MEMS46641.2020.9056349

Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator. / Sun, Jiangkun; Zhang, Hemin; Chen, Dongyang 等.
33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020. Institute of Electrical and Electronics Engineers Inc., 2020. 页码 769-772 9056349 (Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS); 卷 2020-January).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator

AU - Sun, Jiangkun

AU - Zhang, Hemin

AU - Chen, Dongyang

AU - Pandit, Milind

AU - Sobreviela, Guillermo

AU - Xiao, DIngbang

AU - Zhuo, Ming

AU - Gerrard, Dustin D.

AU - Kwon, Ryan

AU - Vukasin, Gabrielle

AU - Kenny, Thomas W.

AU - Seshia, Ashwin

PY - 2020/1

Y1 - 2020/1

N2 - In this paper, nonlinear modal interactions in a micromachined disk resonator with 2:1 internal resonance are demonstrated. By means of the multiple scales method, two types of transition from stable to unstable behavior including jump phenomena and modulated motion corresponding to M-shaped responses are explained in a coupled nonlinear system dominated by quadratic nonlinearity. At the same time, these exotic responses and stability under different driving forces and the strength of internal resonance are also investigated. Furthermore, the frequency and amplitude stability and signal-to-noise ratio (SNR) can be improved under this condition.

AB - In this paper, nonlinear modal interactions in a micromachined disk resonator with 2:1 internal resonance are demonstrated. By means of the multiple scales method, two types of transition from stable to unstable behavior including jump phenomena and modulated motion corresponding to M-shaped responses are explained in a coupled nonlinear system dominated by quadratic nonlinearity. At the same time, these exotic responses and stability under different driving forces and the strength of internal resonance are also investigated. Furthermore, the frequency and amplitude stability and signal-to-noise ratio (SNR) can be improved under this condition.

KW - Internal resonance

KW - multiple scales method

KW - nonlinear modal interactions

KW - quadratic nonlinearity

UR - https://www.scopus.com/pages/publications/85083269227

U2 - 10.1109/MEMS46641.2020.9056349

DO - 10.1109/MEMS46641.2020.9056349

M3 - 会议稿件

AN - SCOPUS:85083269227

T3 - Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS)

SP - 769

EP - 772

BT - 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020

Y2 - 18 January 2020 through 22 January 2020

ER -

Sun J, Zhang H, Chen D, Pandit M, Sobreviela G, Xiao DI 等. Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator. 在 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020. Institute of Electrical and Electronics Engineers Inc. 2020. 页码 769-772. 9056349. (Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS)). doi: 10.1109/MEMS46641.2020.9056349

Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator

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