Effect of Length-scale Parameter on Pull-in Voltage and Natural Frequency of a Micro-plate
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJE-27-3_013
تاریخ نمایه سازی: 17 خرداد 1393
Abstract:
This paper deals with the effect of the intrinsic material length-scale parameter on the stability and natural frequency of a rectangular micro-plate for two different cases; fully clamped and fully simplysupported. A variation formulation based on Hamilton’s principle and the modified couple stresstheory is used to obtain the nonlinear governing equation of a micro-plate incorporating the stretching effect. In the static case, the nonlinear governing equation is solved using the step-by-step linearization method (SSLM) and in the dynamic case, is integrated using fourth-ordered Runge-Kutta method. Thestatic and dynamic pull-in parameters, limiting the stability regions of capacitive MEMS devices, are calculated and compared to those obtained by the classical theory. The numerical results reveal that the intrinsic size dependence of materials is more significant for smaller thicknesses and in this case, the stretching effect can be neglected.
Keywords:
Material Length-Scale Parameter , Modified Couple Stress Theory , Rectangular Micro-plate , Stability
Authors
k Rashvand
Mechanical Engineering Department, Urmia University, Urmia, Iran
g Rezazadeh
Mechanical Engineering Department, Urmia University, Urmia, Iran
h Madinei
Mechanical Engineering Department, Urmia University, Urmia, Iran