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首页> 外文期刊>Mathematical Problems in Engineering >Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever
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Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever

机译：静电微悬臂梁动力系统的同伦分析方法

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摘要

The homotopy analysis method (HAM) is employed to propose an approach for solving the nonlinear dynamical system of an electrostatically actuated micro-cantilever in MEMS. There are two relative merits of the presented HAM compared with some usual procedures of the HAM. First, a new auxiliary linear operator is constructed. This operator makes it unnecessary to eliminate any secular terms. Furthermore, all the deformation equations are purely linear. Numerical examples show the excellent agreement of the attained solutions with numerical ones. The respective effects of applied voltage, cubic nonlinear stiffness, gap distance, and squeeze film damping on vibration responses are analyzed detailedly.
机译：运用同伦分析方法（HAM）提出了一种解决MEMS中静电微悬臂梁非线性动力学系统的方法。与HAM的一些常规程序相比，所提出的HAM有两个相对优点。首先，构造一个新的辅助线性算子。该运算符无需消除任何世俗用语。此外，所有变形方程都是纯线性的。数值算例表明，所获得的解与数值解具有极好的一致性。详细分析了施加电压，立方非线性刚度，间隙距离和挤压膜阻尼对振动响应的各自影响。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第speca期|p.173459.1-173459.14|共14页
  • 作者

    Y. M. Chen; G. Meng; J. K. Liu; J. P. Jing;

  • 作者单位

    State Key Laboratory of Mechanical System and Vibration, Shanghai ]iao Tong University, 800 Dongchuan Road, Shanghai 200240, China;

    State Key Laboratory of Mechanical System and Vibration, Shanghai ]iao Tong University, 800 Dongchuan Road, Shanghai 200240, China;

    Department of Mechanics, Sun Yat-Sen University, Guangzhou 510275, China;

    State Key Laboratory of Mechanical System and Vibration, Shanghai ]iao Tong University, 800 Dongchuan Road, Shanghai 200240, China;

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