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Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever
Joint Authors
Meng, Guang
Jing, J. P.
Liu, J. K.
Chen, Y. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-03
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chen, Y. M.& Meng, Guang& Liu, J. K.& Jing, J. P.. 2011. Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-451748
Modern Language Association (MLA)
Chen, Y. M.…[et al.]. Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever. Mathematical Problems in Engineering No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-451748
American Medical Association (AMA)
Chen, Y. M.& Meng, Guang& Liu, J. K.& Jing, J. P.. Homotopy Analysis Method for Nonlinear Dynamical System of an Electrostatically Actuated Microcantilever. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-451748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451748