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Vol. 115, Issue 4, April 2010, pp. 92-107




Pull-In Phenomenon Investigation in Nonlinear Electromechanical Coupled System
by Distributed Model Frequency Analysis Method


Ahmadali Tahmasebi-Moradi, Fatemeh Abdolkarimzadeh
and *Ghader Rezazadeh

Mech. Eng. Dept. Urmia University, Urmia, Iran

*E-mail: g.rezazadeh@urmia.ac.ir



Received: 17 November 2010   /Accepted: 20 April 2010   /Published: 27 April 2010


Abstract: In the present paper, a new approach for investigating pull-in phenomenon in nonlinear, electromechanical, multi-domain problems based on Eigen frequency analysis of perturbed motion about nominal equilibrium point has been developed. In order to study the stability of the system at the equilibrium position due to the applied voltage, the nonlinear equations of small flexural vibration about this position have been derived and linearized via Taylor expansion theory. The first Eigen frequency of the linearized perturbed motion has been calculated. It has been shown that the instability occurs when the Eigen frequency diverges to zero, while the pull-in phenomenon is divergence instability. To calculate the equilibrium position at given applied voltage a Step-by-Step linearization method has been used. The obtained results have been compared to other theoretical results, and good agreement is observed.


Keywords: MEMS, Pull-In Phenomenon, Perturbation, Eigen frequency, Stability, Nonlinear


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