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http://hdl.handle.net/11701/41490
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Поле DC | Значение | Язык |
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dc.contributor.author | Morozov, Nikita F. | - |
dc.contributor.author | Indeitsev, Dmitriy A. | - |
dc.contributor.author | Lukin, Alexei V. | - |
dc.contributor.author | Popov, Ivan A. | - |
dc.contributor.author | Shtukin, Lev V. | - |
dc.date.accessioned | 2023-05-18T22:30:30Z | - |
dc.date.available | 2023-05-18T22:30:30Z | - |
dc.date.issued | 2023-05 | - |
dc.identifier.citation | Morozov N. F., Indeitsev D.A., Lukin A.V., Popov I.A., Shtukin L.V. On optothermally excited parametric oscillations of microbeam resonators. I. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 315–333. https://doi.org/10.21638/spbu01.2023.212 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2023.212 | - |
dc.identifier.uri | http://hdl.handle.net/11701/41490 | - |
dc.description.abstract | The present article is the first part of the work devoted to 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. An analytical solution of the heat transfer problem is found for the steady harmonic distribution of temperature in the volume of the resonator. The static and dynamic components of temperature-induced axial force and bending moment are determined. Using the Galerkin method, the discretization of nonlinear coupled partial differential equations describing the longitudinal-flexural oscillations of the resonator is performed. Using the asymptotic method of multiple time-scales, an approximate analytical solution is obtained for the nonlinear dynamics problem under the conditions of primary parametric resonance. | en_GB |
dc.description.sponsorship | This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00537). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2 | - |
dc.subject | nonlinear dynamics | en_GB |
dc.subject | parametric oscillations | en_GB |
dc.subject | Bernoulli—Euler beam | en_GB |
dc.subject | modal interaction | en_GB |
dc.subject | laser-induced opto-thermal excitation | en_GB |
dc.title | On optothermally excited parametric oscillations of microbeam resonators. I | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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315-333.pdf | 437,93 kB | Adobe PDF | Просмотреть/Открыть |
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