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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, Volume 10, Issue 4, Pages 632–649
DOI: https://doi.org/10.21638/spbu01.2023.404
(Mi vspua266)
 

ON THE ANNIVERSARY OF A.K.BELYAEV

On opto-thermally excited parametric oscillations of microbeam resonators. II

N. F. Morozova, D. A. Indeitsevb, A. V. Lukinc, I. A. Popovc, L. V. Shtukinb

a St. Petersburg State University, 7-9 Universitetskaya nab., St. Petersburg 199034, Russian Federation
b Institute of Problems in Mechanical Engineering of the Russian Academy of Sciences, 61 Bolshoi pr. V. O., St. Petersburg 199178, Russian Federation; Peter the Great St. Petersburg Polytechnic University, 29 ul. Politekhnicheskaia, St. Petersburg 195251, Russian Federation
c Peter the Great St. Petersburg Polytechnic University, 29 ul. Politekhnicheskaia, St. Petersburg 195251, Russian Federation
References:
Abstract: This article is the second part of the work devoted to the investigation of the nonlinear dynamics of parametrically excited flexural vibrations of a clamped-clamped microbeam - the basic sensitive element of a promising class of microsensors of various physical quantities - under laser thermooptical action in the form of periodically generated pulses acting on a certain part of the surface of the beam element. The fundamental technical feasibility of laser generation of parametric oscillations of high-Q microresonators without the implementation of scenarios for the loss of elastic stability of the sensitive element or its unacceptable heating is shown. The nature of the zone of the main 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.
Keywords: nonlinear dynamics, parametric oscillations, Bernoulli - Euler beam, modal interaction, laser-induced opto-thermal excitation.
Funding agency Grant number
Grant Council of the President of the Russian Federation МК-4577.2022.1.1
This work was supported by a grant from the Council for Grants of the President of the Russian Federation for State Support of Young Russian Scientists MK-4577.2022.1.1.
Document Type: Article
UDC: 534.11
MSC: 74H60
Language: Russian
Citation: N. F. Morozov, D. A. Indeitsev, A. V. Lukin, I. A. Popov, L. V. Shtukin, “On opto-thermally excited parametric oscillations of microbeam resonators. II”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:4 (2023), 632–649
Citation in format AMSBIB
\Bibitem{MorIndLuk23}
\by N.~F.~Morozov, D.~A.~Indeitsev, A.~V.~Lukin, I.~A.~Popov, L.~V.~Shtukin
\paper On opto-thermally excited parametric oscillations of microbeam resonators. II
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2023
\vol 10
\issue 4
\pages 632--649
\mathnet{http://mi.mathnet.ru/vspua266}
\crossref{https://doi.org/10.21638/spbu01.2023.404}
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