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

Y.M. Chen | Zendy; Guang Meng | Zendy; J. K. Liu | Zendy; J P Jing | Zendy

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

Author(s) -

Y.M. Chen,

Guang Meng,

J. K. Liu,

J P Jing

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/173459

Subject(s) - homotopy analysis method , cantilever , nonlinear system , operator (biology) , vibration , stiffness , homotopy , mathematics , microelectromechanical systems , control theory (sociology) , mathematical analysis , computer science , physics , engineering , structural engineering , acoustics , biochemistry , chemistry , control (management) , repressor , quantum mechanics , artificial intelligence , transcription factor , pure mathematics , gene

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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