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Nonlinear static and dynamic responses of an electrically actuated viscoelastic microbeam

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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.

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Authors and Affiliations

  1. College of Mechanics and Aerospace, Hunan University, 410082, Changsha, China

    Y. M. Fu & J. Zhang

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  1. Y. M. Fu
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  2. J. Zhang
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Correspondence to J. Zhang.

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Fu, Y.M., Zhang, J. Nonlinear static and dynamic responses of an electrically actuated viscoelastic microbeam. Acta Mech Sin 25, 211–218 (2009). https://doi.org/10.1007/s10409-008-0216-4

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  • DOI: https://doi.org/10.1007/s10409-008-0216-4

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