title: Coupled vibrations of viscoelastic three-layer composite plates. 1. Formulation of problem
metadata.name: dc.contributor.author
metadata.value: Ryabov, Victor M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yartsev, Boris A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Parshina, Ludmila V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-09-10T14:46:12Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-09-10T14:46:12Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ryabov V. M., Yartsev B. A., Parshina L. V. Coupled vibrations of viscoelastic three-layer composite plates. 1. Formulation of problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 469–480
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.309
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19397
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A mathematical model of damped oscillations of three-layer plates formed by two rigid
  anisotropic layers and a soft middle isotropic layer of a viscoelastic polymer is proposed.
  Each hard layer is an anisotropic structure formed by a finite number of randomly oriented orthotropic viscoelastic composites layers. The model is based on the use of the
  Hamiltonian variational principle, the refined theory of first-order plates (Reissner-Mindlin
  theory), the model of complex modules and the principle of elastic-viscoelastic correspondence in the linear theory of viscoelasticity. When describing the physical relationships of
  hard layer materials, the influence of the vibration frequency and the ambient temperature
  is considered negligible, while for the soft layer of a viscoelastic polymer, the temperaturefrequency dependence of the elastic-dissipative characteristics is taken into account based
  on experimentally determined generalized curves. As a special case of the general problem,
  by neglecting the deformation of the middle surfaces of the rigid layers in one of the directions of the axes of the rigid layers of a three-layer plate, the equations of longitudinal
  and transverse damped oscillations of a globally orthotropic three-layer beam are obtained.
  Minimization of the Hamilton functional allows us to reduce the problem of damped vibrations of anisotropic structures to the algebraic problem of complex eigenvalues.
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 7 (65); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: composite
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: anisotropy
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: viscoelastic polymer
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: temperature-frequency dependence
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: coupled vibrations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: natural frequency
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: loss factor
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Coupled vibrations of viscoelastic three-layer composite plates. 1. Formulation of problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 469-480.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19397/1/469-480.pdf
resources.format: Adobe PDF
resources.size: 2,77 MB