Nonlinear static and dynamic responses of an electrically actuated viscoelastic microbeam
First Online: 05 December 2008 Received: 06 June 2008 Revised: 09 September 2008 Accepted: 14 October 2008 DOI:
10.1007/s10409-008-0216-4 Cite this article as: Fu, Y.M. & Zhang, J. Acta Mech Sin (2009) 25: 211. doi:10.1007/s10409-008-0216-4 Abstract
On the basis of the Euler–Bernoulli hypothesis, nonlinear static and dynamic responses of a viscoelastic microbeam under two kinds of electric forces [a purely direct current (DC) and a combined current composed of a DC and an alternating current] are studied. By using Taylor series expansion, a governing equation of nonlinear integro-differential type is derived, and numerical analyses are performed. When a purely DC is applied, there exist an instantaneous pull-in voltage and a durable pull-in voltage of which the physical meanings are also given, whereas under an applied combined current, the effect of the element relaxation coefficient on the dynamic pull-in phenomenon is observed where the largest Lyapunov exponent is taken as a criterion for the dynamic pull-in instability of viscoelastic microbeams.
Keywords MEMS Viscoelastic microbeam Nonlinear dynamics References
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