Aydin Azizi, Hamed Mobki, Ghader Rezazadeh and Saman Rezvantalab
German University of Technology in Oman, Oman
University of Tabriz, Iran
Urmia University, Iran
Posters & Accepted Abstracts: Sensor Netw Data Commun
In this paper, bifurcational and pull-in behavior of a capacitive micro switch suspended between two conductive stationary plates, have been studied. The dynamic motion equation of the micro-switch has been obtained using Euler Bernoulli beam theorem. Due to the nonlinearity of the electrostatic force, the analytical solution for the derived equation is not available. So the governing differential equation has been solved using combined Galerkin weighted residual and step-by-step linearization methods (SSLM). To obtain the fixed points and study the local and global bifurcational behavior of the micro switch, a mass-spring model has been utilized and adjusted so that to have similar static/dynamic characteristics with those of Euler-Bernoulli beam model (in the first mode). Using 1-DOF model, mathematical and physical equilibrium points of the micro-switch have been obtained for three different cases. It is shown that the pull-in phenomenon in the present micro-switch can be occurred due to a pitchfork or transcritical bifurcations as well as saddle node bifurcation which are occurred in the classical micro-switches. And for some cases primary and secondary pull-in phenomena are observed where the first one is due to a transcritical bifurcation and the second one is due to a saddle node bifurcation. In addition the dynamic response of the switch to a step DC voltage has also been studied and the results show that in contrast to the classical micro-switches, the ratio of the dynamic pull-in voltage to the static one depends on the gaps and voltages ratio where for the classical one is approximately a constant value.
Email: ghader@urmia.ac.ir
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