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Semi-analytic solutions to oscillatory behavior of initially curved micro/nano systems
Hossein Daneshpajooh,Mahdi Moghimi Zand 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.9
In this study, Homotopy analysis method (HAM) is used to investigate the nonlinear oscillatory behavior of clamped-clamped initiallycurved micro/nano beam, under electrostatic force actuation. The electrostatic actuation, midplane stretching, and geometric nonlinearityeffects are considered. Initially, through Galerkin’s decomposition method, the partial differential governing equation is converted to anordinary differential equation. Thereafter, HAM is used to find a semi-analytic solution for the nonlinear oscillatory behavior of an initiallycurved microbeam. To ensure the convergence of the problem, the convergence region of solutions is investigated. Furthermore, theinfluence of initial elevation, input voltage, midplane stretching, and order of the HAM approximation are examined. Analytic resultsachieved by HAM are in good agreement with numerical solutions and published literature.