Nonlinear analysis of sensor diaphragm under initial tension

Miao Yu; B. Balachandran; X.-H. Long

doi:10.1117/12.599945

19 May 2005 Nonlinear analysis of sensor diaphragm under initial tension

Miao Yu, B. Balachandran, X.-H. Long

Proceedings Volume 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control; (2005) https://doi.org/10.1117/12.599945
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2005, San Diego, California, United States

Abstract

In this article, recent investigations into the dynamic behavior of a sensor diaphragm under initial tension are presented. A comprehensive mechanics model based on a plate with in-plane tension is presented and analyzed to examine the transition from plate behavior to membrane behavior. It is shown that, for certain tension parameter values, it is appropriate to model the diaphragm as a plate-membrane structure rather than as a membrane. In the nonlinear analysis, the effect of cubic nonlinearity is studied when the excitation frequency is either close to one-third of the first natural frequency or the first natural frequency. The nonlinear effects limit the sensor bandwidth and dynamic range. The study shows that both of the nonlinear effects can be attenuated by decreasing the diaphragm thickness and applying an appropriate tension to realize the desired first natural frequency while reducing the strength of the nonlinearity. The analyses and related results should be valuable for carrying out the design of circular diaphragms for various sensor applications, in particular, for designing sensors on small scales.

Citation Download Citation

Miao Yu, B. Balachandran, and X.-H. Long "Nonlinear analysis of sensor diaphragm under initial tension", Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); https://doi.org/10.1117/12.599945

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