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Non-linear dynamic instability of a double-sided nano-bridge considering centrifugal force and rarefied gas flow

Authors :
Hamid M. Sedighi
Mohamadreza Abadyan
Ali Koochi
Farhang Daneshmand
Source :
International Journal of Non-Linear Mechanics. 77:96-106
Publication Year :
2015
Publisher :
Elsevier BV, 2015.

Abstract

Double-sided electromechanical nano-bridges can potentially be used as angular speed sensors and accelerometers in rotary systems such as turbine blades and vacuum pumps. In such applications, the influences of the centrifugal force and rarefied flow should be considered in the analysis. In the present study, the non-linear dynamic pull-in instability of a double-sided nano-bridge is investigated incorporating the effects of angular velocity and rarefied gas damping. The non-linear governing equation of the nanostructure is derived using Euler-beam model and Hamilton׳s principle including the dispersion forces. The strain gradient elasticity theory is used for modeling the size-dependent behavior of the system. The reduced order method is also implemented to discretize and solve the partial differential equation of motion. The influences of damping, centrifugal force, length scale parameters, van der Waals force and Casimir attraction on the dynamic pull-in voltage are studied. It is found that the dispersion and centrifugal forces decrease the pull-in voltage of a nano-bridge. Dynamic response of the nano-bridge is investigated by plotting time history and phase portrait of the system. The validity of the proposed method is confirmed by comparing the results from the present study with the experimental and numerical results reported in the literature.

Details

ISSN :
00207462
Volume :
77
Database :
OpenAIRE
Journal :
International Journal of Non-Linear Mechanics
Accession number :
edsair.doi...........63a53e7f3990ea59678ef4669c079b67
Full Text :
https://doi.org/10.1016/j.ijnonlinmec.2015.08.002