title: ÐÐ·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ ÑÐ¾ÑÐ¼ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð¼Ð¸ÐºÑÐ¾ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾ÑÐ° Ð¿ÑÐ¸ Ð½ÐµÐ¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Interaction of vibration modes of a microcavityunder periodic exposure
Creators: name: Ð¡ÑÐ·Ð´Ð°Ð»ÑÑÐµÐ², ÐÐ»Ð°Ð´Ð¸Ð¼Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð¼Ð¸ÐºÑÐ¾ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾Ñ
ÑÐ¾ÑÐ¼Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹
ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼
Ð·Ð°ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸
microcavity
vibration forms
stability of nonlinear systems
critical loads

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description: 45 pages, 14 figures, 1 appendix. The subject of the graduate qualification work is Â«Interaction of vibration modes of a microcavityunder periodic exposureÂ». The given work is devoted to the analytical and computational treatment of the behavior of an electromechanical system consisting of a microcavity when a longitudinal load arises due to the heating of the rod due to a laser pulse, the treatment and analysis of possible equilibrium positions arising from supercritical loads, the assessment of the effect of electrostatic forces on the behavior of this system, the influence various parameters on the system, the study of the interaction of vibration modes among themselves. The following mathematical apparatus is used in the work: the Galerkinprojection method, the theory of stability of nonlinear systems, approximate methods for studying nonlinear oscillatory systems, numerical methods in the Matlab software package.As a result, the behavior of the electromechanical system under the action of a longitudinal force and electrostatic forces was investigated, an equation of motion and its numerical solution in dimensionless quantities were obtained. The equilibrium positions arising under similar loads are calculated and investigated. The dependence of the coordinates of the equilibrium position on the longitudinal load is obtained.