title: On stiffness matrix construction for naturally twisted rod
metadata.name: dc.contributor.author
metadata.value: Kurbatova, Natalia V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Romanova, Natalia M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ustinov, Yuriy A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-01T15:35:01Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-01T15:35:01Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-03
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3846
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Here we considered the Saint Venant problem for a naturally twisted rod with a rectangular cross-section.
  Research was conducted on the basis of homogeneous solutions in conjunction with the finite element
  method. The general solution is constructed as a linear combination of elementary solutions corresponding
  to three four-roots eigenvalues of spectral problem on the cross section. Elementary solutions determining
  the stress-strain state of Saint Venant type contain unknown eigenvectors and associated vectors. To
  determine of unknown solutions the authors formulated boundary value problems and their variational
  formulations previously. They are correspond to problems of stretching-torsion, pure bending and bending
  of the lateral force. Variational problems were solved using FEM. The stress-strain state of the rod was
  studied numerically and non-zero elements of the stiffness matrix were found in the case of square and
  rectangular cross-sections of the rod for the different values of twist. Graphically shows the numerical
  results for a wide range of change of the twist parameter τ. Calculations showed that the identified
  patterns are consistent with the corresponding behavior untwisted rods (for small twist parameter), and
  with the growth of the twist, new effects, which confirm the hypothesis proposed earlier. Refs 17. Figs 3.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при частичной поддержке проекта «Математическое моделирование неоднородных и многофазных структур» (в рамках Программы фундаментальных исследований по стратегическим направлениям развития науки Президиума РАН №1 «Фундаментальные проблемы математического моделирования»).
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. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: naturally twisted rod
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Saint-Venaunt problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stiffness matrix
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On stiffness matrix construction for naturally twisted rod
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Kurbatova_Romanova_et_al.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3846/1/Kurbatova_Romanova_et_al.pdf
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