Nonlinear static and dynamic responses of an electrically actuated viscoelastic microbeam

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2009,（2）
• 页码范围: 211-218
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/s10409-008-0216-4

摘要

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.