Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever

Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever
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静电驱动微悬臂梁非线性动力系统的同伦分析方法

DOI:
10.1155/2011/173459
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发表时间:
2011-01
影响因子:
--
通讯作者:
Chen, Y.M.
Chen, Y.M.
中科院分区:
工程技术4区
文献类型:
--
作者:
Liu, J.K.;Meng, G.;Jing, J.P.;Chen, Y.M.

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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.
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