N. F. Morozov, D. A. Indeitsev, A. V. Lukin, I. A. Popov, L. V. Shtukin
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引用次数: 0
Abstract
The present article is the second part of our study of the nonlinear dynamics of parametrically excited bending vibrations of a microbeam fixed at both ends, a basic sensitive element of a promising class of microsensors of various physical quantities, under laser thermo-optical action in the form of periodically generated pulses acting on a certain part of the surface of the beam element. The conceptual technical feasibility of laser generation of parametric oscillations of high-Q microresonators without implementation of scenarios with the loss of elastic stability of the sensitive element or unacceptable heating is shown. The nature of the zone of the primary parametric resonance is analyzed analytically. The resonant characteristics of the system are constructed in a geometrically non-linear formulation corresponding to the Bernoulli–Euler beam model.
期刊介绍：
Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
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