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publication name Perturbation analysis of an electrostatic Micro-Electro-Mechanical System (MEMS) subjected to external and non-linear parametric excitations
Authors G A. Mosa; A M. Elnaggar, A F. El-Bassiouny
year 2014
keywords MEMS, Weakly non-linear dynamical systems, Micro-cantilever, Parametric and Forcing excitations
journal International Journal of Basic and Applied Sciences
volume 3
issue 3
pages 209-223
publisher Science Publishing Corporation
Local/International International
Paper Link http://www.sciencepubco.com/index.php/ijbas/article/view/2772/1210
Full paper download
Supplementary materials Not Available
Abstract

Electrostatic micro-electro-mechanical system (MEMS) is a special branch with a wide range of applications in sensing and actuating devices in MEMS. In this paper the perturbation analysis of the electrostatically actuated MEMS resonant sensors which represented by a modiØed Du±ng - Van der Pol equation subjected to weakly non-linear parametric and external excitations is studied by using a perturbation technique (multiple time scales). Harmonic resonance and subharmonic resonances of order ( 1 2 and 1 3 ) are investigated. For each resonances we obtain the modulation equations in the amplitude and phase, steady state solutions, frequency-response equations and stability conditions are determined. EÆects of diÆerent parameters on the system behavior are investigated numerically. Results are presented graphically and discussion is provided.

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