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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

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.

Original language	English
Title of host publication	33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	769-772
Number of pages	4
ISBN (Electronic)	9781728135809
DOIs	https://doi.org/10.1109/MEMS46641.2020.9056349
State	Published - Jan 2020
Externally published	Yes
Event	33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020 - Vancouver, Canada Duration: 18 Jan 2020 → 22 Jan 2020

Publication series

Name	Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS)
Volume	2020-January
ISSN (Print)	1084-6999

Conference

Conference	33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020
Country/Territory	Canada
City	Vancouver
Period	18/01/20 → 22/01/20

Keywords

Internal resonance
multiple scales method
nonlinear modal interactions
quadratic nonlinearity

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10.1109/MEMS46641.2020.9056349

Cite this

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. In 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020 (pp. 769-772). Article 9056349 (Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS); Vol. 2020-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MEMS46641.2020.9056349

Sun, Jiangkun ; Zhang, Hemin ; Chen, Dongyang et al. / 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. pp. 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. in 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020., 9056349, Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS), vol. 2020-January, Institute of Electrical and Electronics Engineers Inc., pp. 769-772, 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020, Vancouver, Canada, 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 et al.
33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 769-772 9056349 (Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS); Vol. 2020-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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

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

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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 et al. Nonlinear Modal Interactions and Internal Resonance in a Micromachined Disk Resonator. In 33rd IEEE International Conference on Micro Electro Mechanical Systems, MEMS 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 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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