title: Nonclassical vibrations of a monoclinic composite strip
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: 2022-02-16T19:53:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-02-16T19:53:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ryabov V. M., Yartsev B.A. Nonclassical vibrations of a monoclinic composite strip. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 4, pp. 695–708.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.415
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/35118
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A mathematical model of damped flexural-torsional vibrations of monoclinic composite
  strip of constant length rectangular cross section is proposed. The model is based on the
  refined bending theory Timoshenko beams, the theory of generalized Voigt—Lekhnitskii
  torsion and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity.
  A two-stage method for solving a coupled system of differential equations is
  developed. First, using the Laplace transform in spatial variable, real natural frequencies
  and natural forms are found. To determine the complex natural frequencies of the strip in
  found real values are used as their initial values of natural frequencies, and then the complex
  frequencies are calculated by the method iterations of the third order. An assessment
  of the reliability of the mathematical model and method of numerical solution, performed
  by comparing calculated and experimental values of natural frequencies and loss factors
  is given. The results of a numerical study of the effect angles of orientation of reinforcing
  fibers and lengths by the values of natural frequencies and loss factors for free-free and cantilever
  monoclinic stripes are discussed. It is shown that for the free-free strip the region of
  mutual transformation eigenmodes of coupled vibration modes arise for quasi-bending and
  quasi-twisting vibrations of either even or odd tones. In the console strip of the region of
  mutual transformation of eigenforms of coupled modes vibrations occur for both even and
  odd tones.
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 8 (66); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: composite
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: monoclinic strip
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: Nonclassical vibrations of a monoclinic composite strip
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 695-708.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/35118/1/695-708.pdf
resources.format: Adobe PDF
resources.size: 2,06 MB