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Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method. (English) Zbl 1185.74032

Summary: Static pull-in instability of electrostatically-actuated microbridges and microcantilevers is investigated considering different nonlinear effects. Galerkin’s decomposition method is utilized to convert the nonlinear differential equations of motion to nonlinear integro-algebraic equations. Afterward, analytic solutions to static deflections of the microbeams are obtained using the homotopy perturbation method. Results are in excellent agreement with those presented in the literature.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
74M25 Micromechanics of solids
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