title: Energy dissipation during vibrations of non-uniform composite structures. 2. Method of solution
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: 2018-12-13T14:46:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-12-13T14:46:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-12
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. 2. Method of solution. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 4, pp. 678–688.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.414
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15136
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper describes the method of numerical solution to decaying vibration equations for
  heterogeneous composite structures. The system of algebraic equations 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 initial values, and then, by means of the third-order iteration method,
  complex natural frequencies are calculated. The paper discusses the convergence of numerical solution of the differential equations describing the motion of layered heterogeneous
  structures, obtained for unsupported rectangular two-layered plate. Bearing layer of the
  plate is made of unidirectional CRP, its elastic and dissipation properties within the investigated
  band of frequencies and temperatures are independent on vibration frequency.
  The bearing layer has one of its outer surfaces covered with a layer of “stiff” isotropic
  viscoelastic polymer characterized by temperature-frequency relationship for the real part
  of complex Young’s modulus and mechanical loss factor. Validation of the mathematical
  model and of the numerical solution method performed through comparison of calculation
  results for natural frequencies and loss factor versus test data (for two composition variants
  of two-layered unsupported beam) has shown their good correlation.
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 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: solution method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Legendre polynomials
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear algebraic equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: damping
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: convergence of numerical solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: validation
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. 2. Method of solution
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14-Parshina.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15136/1/14-Parshina.pdf
resources.format: Adobe PDF
resources.size: 1,12 MB