title: Differential resonant MEMS accelerometer: Synchronization characteristics of weakly coupled microbeam sensing elements
metadata.name: dc.contributor.author
metadata.value: Indeitsev, Dmitriy A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Igumnova, Vasilisa S.
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: 2023-05-18T22:11:53Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T22:11:53Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Indeitsev D.A., Igumnova V. S., Lukin A. V., Popov I. A., Shtukin L. V. Differential resonant MEMS accelerometer: Synchronization characteristics of weakly coupled microbeam sensing elements. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 289–304. https://doi.org/10.21638/spbu01.2023.210 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.210
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41486
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This work is devoted to studying the conditions and scenarios for synchronizing oscillations
  of weakly coupled microbeam elements of a differential resonant MEMS accelerometer operating
  in the dual-loop self-oscillator mode. The model of a system of two Van der Pol
  self-oscillators with a nonlinear elastic coupling between moving elements, obtained using
  the Galerkin method, was studied using the multiscale method. The modes of beats and
  synchronization of oscillations of two resonators are found analytically and numerically, and
  the boundary between these modes in the space of system parameters is determined. Along
  with a local bifurcation analysis of the considered stationary regimes, a global analysis of
  the evolution and branching of limit cycles in the space of slow variables was also carried
  out, which made it possible to detect zones of coexistence of stable synchronization and
  beat regimes with their basins of attraction. The influence of the factor of the designed or technologically determined non-identity of the design of two resonators on the location of
  the parametric zones of synchronization and beats is studied.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research is funded by Russian Science Foundation grant no. 21-71-10009,
  https://rscf.ru/en/project/21-71-10009/
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: resonant accelerometer
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: weakly coupled systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: synchronizing oscillations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Van der Pol oscillator
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Differential resonant MEMS accelerometer: Synchronization characteristics of weakly coupled microbeam sensing elements
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 289-304.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41486/1/289-304.pdf
resources.format: Adobe PDF
resources.size: 3,06 MB