title: Energy dissipation during vibrations of non-uniform composite structures. 1. Formulation of problem
metadata.name: dc.contributor.author
metadata.value: Parshina, Ludmila V.
metadata.lang: -
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.date.accessioned
metadata.value: 2018-07-12T19:46:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-12T19:46:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Parshina L.V., Ryabov V.M., Yartsev B.A. Energy dissipation during vibrations of non-uniform composite structures. 1. Formulation of problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 2, pp. 300–309.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.210
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/10407
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper suggests a mathematical model for decaying vibrations of layered plates formed
  by a finite number of arbitrarily oriented orthotropic viscoelastic layers of polymer composites
  arranged into an anisotropic structure with a layer of “stiff” isotropic viscoelastic
  material applied on one of its outer surfaces. The model is based on Hamilton variation
  principle, first-order shear deformation laminated plate theory (FSDT) and the viscoelastic
  correspondence principle of the linear viscoelasticity theory. In the description of the
  physical relationships between the materials of the layers forming orthotropic polymeric
  composites, the effect of vibration frequency and ambient temperature is assumed as negligible,
  whereas for the viscoelastic polymer layer, temperature-frequency relationship of
  elastic dissipation and stiffness properties is considered by means of the experimentally determined
  generalized curves. As a particular case of the general problem, neglect of medium
  surface straining in direction of one of the axes of the plate yielded the movement equations
  for Timoshenko beam with a layer of “stiff” isotropic viscoelastic polymer on one of
  its outer surfaces. Mitigation of Hamilton functional makes it possible to describe decaying
  vibration of anisotropic structures by an algebraic problem of complex eigenvalues. The
  system of algebraic equation is generated through Ritz method using Legendre polynomials
  as coordinate functions. First, real solutions are found. To find complex natural frequencies
  of the system, the obtained real natural frequencies are taken as input values, and then, by
  means of the 3rd order iteration method, complex natural frequencies are calculated.
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 5(63); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: damping
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: polymeric composites
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: anisotropy
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: viscoelastic polymers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: temperature-frequency dependence
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: 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: Energy dissipation during vibrations of non-uniform composite structures. 1. Formulation of problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Parshina.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/10407/1/10-Parshina.pdf
resources.format: Adobe PDF
resources.size: 333,11 kB