Acta Mechanica Sinica

, Volume 25, Issue 2, pp 211–218

Nonlinear static and dynamic responses of an electrically actuated viscoelastic microbeam

Research Paper

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 

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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

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