title: On optothermally excited parametric oscillations of microbeam resonators. I
metadata.name: dc.contributor.author
metadata.value: Morozov, Nikita F.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Indeitsev, Dmitriy A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lukin, Alexei V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Popov, Ivan A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shtukin, Lev V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-18T22:30:30Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T22:30:30Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: 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)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.212
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41490
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00537).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonlinear dynamics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parametric oscillations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Bernoulli—Euler beam
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: modal interaction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: laser-induced opto-thermal excitation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On optothermally excited parametric oscillations of microbeam resonators. I
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 315-333.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41490/1/315-333.pdf
resources.format: Adobe PDF
resources.size: 437,93 kB