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Periodic Solutions of Mathematical Models of Micromechanics Under Periodic Impulse Action

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We consider mathematical models of two microelectromechanical systems describing the motion of a movable electrode in a micro-gap under the action of the repetitive pulse electrostatic field between movable and fixed electrodes. We formulate boundary value problems with periodicity conditions and found the range of parameters corresponding to the existence of two solutions such that one of them is stable, whereas the other is unstable. Bibliography: 11 titles. Illustrations: 9 figures.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, Novosibirsk, 630090, Russia

    S. I. Fadeev

  2. Novosibirsk State University, 2, ul. Pirogova, Novosibirsk, 630090, Russia

    S. I. Fadeev & D. O. Pimanov

Authors
  1. S. I. Fadeev
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  2. D. O. Pimanov
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Correspondence to S. I. Fadeev.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 3, 2013, pp. 122–140.

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Fadeev, S.I., Pimanov, D.O. Periodic Solutions of Mathematical Models of Micromechanics Under Periodic Impulse Action. J Math Sci 205, 473–489 (2015). https://doi.org/10.1007/s10958-015-2261-4

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  • DOI: https://doi.org/10.1007/s10958-015-2261-4

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