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Numerical study of mathematical models of micromechanics with periodic impulse action
Authors:S. I. Fadeev  D. O. Pimanov
Affiliation:1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Abstract:We consider the results of the numerical study of the mathematical models of two microelectromechanical systems (MEMS). The models as initial boundary value problems describe the cylindrical flexure of an elastic beam as a movable electrode under action of a repetitive intensity impulse of the electrostatic field between the movable and fixed electrodes in a microgap. In the first problem, both ends of the beamare rigidly fixed, while in the second problemwe consider a cantilever beam. The range of the parameters is found where the model has two periodic solutions with periods of impulse action one of which is stable and the other is unstable.
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