In this paper, investigations into the nonlinear asymmetric vibrations of a pressure sensor diaphragm under initial tension are presented. A comprehensive mechanics model based on a plate with in-plane tension is presented and the effect of cubic nonlinearity is studied. Specifically, the nonlinear asymmetric response is investigated when the excitation frequency is close to the natural frequency of an asymmetric mode of the plate. The obtained results show that in the presence of an internal resonance, depending on the initial tension, the response can have not only the form of a standing wave but also the form of a traveling wave. In addition, damping can be used to reduce the nonlinear effect and avoid the nonlinear interactions. The results of this work will benefit the design of diaphragm-type structures used in microscale sensors including pressure sensors.
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June 2015
Research-Article
One to One Nonlinear Internal Resonance of Sensor Diaphragm Under Initial Tension
Xinhua Long,
Xinhua Long
1
Mem. ASME
State Key Laboratory of Mechanical System and Vibration,
e-mail: xhlong@sjtu.edu.cn
State Key Laboratory of Mechanical System and Vibration,
Shanghai Jiao Tong University
,Shanghai 200240
, China
e-mail: xhlong@sjtu.edu.cn
1Corresponding author.
Search for other works by this author on:
Miao Yu
Miao Yu
Mem. ASME
Department of Mechanical Engineering,
e-mail: mmyu@umd.edu
Department of Mechanical Engineering,
University of Maryland
,College Park, MD 20742-3035
e-mail: mmyu@umd.edu
Search for other works by this author on:
Xinhua Long
Mem. ASME
State Key Laboratory of Mechanical System and Vibration,
e-mail: xhlong@sjtu.edu.cn
State Key Laboratory of Mechanical System and Vibration,
Shanghai Jiao Tong University
,Shanghai 200240
, China
e-mail: xhlong@sjtu.edu.cn
Miao Yu
Mem. ASME
Department of Mechanical Engineering,
e-mail: mmyu@umd.edu
Department of Mechanical Engineering,
University of Maryland
,College Park, MD 20742-3035
e-mail: mmyu@umd.edu
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 16, 2014; final manuscript received January 18, 2015; published online March 13, 2015. Assoc. Editor: Jeffrey F. Rhoads.
J. Vib. Acoust. Jun 2015, 137(3): 031019 (9 pages)
Published Online: June 1, 2015
Article history
Received:
January 16, 2014
Revision Received:
January 18, 2015
Online:
March 13, 2015
Citation
Long, X., and Yu, M. (June 1, 2015). "One to One Nonlinear Internal Resonance of Sensor Diaphragm Under Initial Tension." ASME. J. Vib. Acoust. June 2015; 137(3): 031019. https://doi.org/10.1115/1.4029667
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