The natural frequency and responses of a micro-electro-mechanical system (MEMS) with time-varying capacitors are determined under an equivalent direct current (DC) voltage. Under alternating current (AC) voltages, the resonant condition and the corresponding resonant motion possessing a wide energy band for such a system are investigated because the motion with the wide energy band is very easily sensed. For a given voltage strength, the AC frequency band is obtained for chaotic resonant motions in the specific resonant layer. The numerical and analytical predictions of such a motion are in a acceptable agreement, and the dynamic model provides the range prediction of the alternating current and voltage on the capacitor agreeing with experimental measurements. The lower-order resonant motion has a higher energy than the higher-order resonant motions, which indicates that the lower-order resonant motion can be easily sensed. Although this model is developed from a specified MEMS, the analysis and results can be applied to other dynamic systems.
Nonlinear Dynamics of a Micro-Electro-Mechanical System With Time-Varying Capacitors
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 2002; Revised April 2003. Associate Editor: J. P. Cusumano.
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Luo, A. C. J., and Wang, F. (February 26, 2004). "Nonlinear Dynamics of a Micro-Electro-Mechanical System With Time-Varying Capacitors ." ASME. J. Vib. Acoust. January 2004; 126(1): 77–83. https://doi.org/10.1115/1.1597211
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