Periodic Solutions of Mathematical Models of Micromechanics Under Periodic Impulse Action

Periodic Solutions of Mathematical Models of Micromechanics Under Periodic Impulse Action

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 fo...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2015-03, Vol.205 (3), p.473-489
Hauptverfasser: Fadeev, S. I., Pimanov, D. O.
Format: Artikel
Sprache:eng
Schlagworte:
Dielectrics
Mathematical models
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2261-4