Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam

Autor:	Y. H. Qian, Shengmin Chen, Siu Kai Lai, D.X. Ren
Rok vydání:	2012
Předmět:	Vibration Physics Numerical Analysis Nonlinear system Classical mechanics Applied Mathematics Modeling and Simulation Nonlinear vibration Convergence (routing) Mathematical analysis Microbeam Homotopy analysis method
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 17:1947-1955
ISSN:	1007-5704
Popis:	This paper employs the homotopy analysis method (HAM) to derive analytical approximate solutions for the nonlinear problem with high-order nonlinearity. Such a problem corresponds to the large-amplitude vibration of electrostatically actuated microbeams. The HAM is also optimized to accelerate the convergence of approximate solutions. To verify the accuracy of the present approach, illustrative examples are provided and compared with other analytical and exact solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f50e94ee6e9ba9fdb8dd9c9931cbd61 https://doi.org/10.1016/j.cnsns.2011.09.018 Zobrazit plný text záznamu Full Text from ScienceDirect