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Study of parametric oscillation of an electrostatically actuated microbeam using variational iteration method

机译：用变分迭代法研究静电微束的参数振动

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This paper deals with the study of parametric oscillation of an electrostatically actuated microbeam using variational iteration method. The paper considers a micro-beam suspended between two conductive micro-plates, subjected to a same actuation voltage. The nonlinear governing differential equation of motion about static equilibrium position using calculus of variation theory and Taylor series expansion has been linearized and implementing a Galerkin based reduced order model a Mathieu type equation has been obtained. By improving variational iteration method combining with method of strained parameters transition curves, separating stable from unstable regions have been obtained. The results of variational iteration method, perturbation and direct numerical integration methods for some cases selected from different regions (stable and unstable regions) have been compared.
机译：本文利用变分迭代方法研究静电微束的参数振动。本文考虑了在两个导电微板之间悬挂的微束，它们受到相同的驱动电压。利用变分理论和泰勒级数展开对非线性的控制静态平衡位置运动的微分方程进行了线性化处理，并实现了基于Galerkin的降阶模型的Mathieu型方程。通过改进变分迭代法与应变参数过渡曲线法相结合，获得了稳定与不稳定区域的分离。比较了从不同区域（稳定和不稳定区域）选择的某些情况的变分迭代方法，摄动和直接数值积分方法的结果。

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