Acta Mechanica Sinica

, Volume 25, Issue 2, pp 211–218

Nonlinear static and dynamic responses of an electrically actuated viscoelastic microbeam

Research Paper

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

MEMSViscoelastic microbeamNonlinear dynamics

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH 2008

Authors and Affiliations

  1. 1.College of Mechanics and AerospaceHunan UniversityChangshaChina