Periodic Solutions of Mathematical Models of Micromechanics Under Periodic Impulse Action

Autor:	S. I. Fadeev, D. O. Pimanov
Rok vydání:	2015
Předmět:	Statistics and Probability Microelectromechanical systems Cauchy problem Classical mechanics Mathematical model Applied Mathematics General Mathematics Electric field Bibliography Micromechanics Boundary value problem Impulse (physics) Mathematics
Zdroj:	Journal of Mathematical Sciences. 205:473-489
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-015-2261-4
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::624a8b994a6254ee93ffef6ed33a963f https://doi.org/10.1007/s10958-015-2261-4 Zobrazit plný text záznamu Plný text ve formátu PDF