title: Method of initial functions in analyses of the bending of a thin orthotropic plate clamped along the contour
metadata.name: dc.contributor.author
metadata.value: Goloskokov, Dmitry P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Matrosov, Alexander V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-01-18T10:32:54Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-01-18T10:32:54Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Goloskokov D.P., Matrosov A. V. Method of initial functions in analyses of the bending of a thin orthotropic plate clamped along the contour. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 4, pp. 330-344.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.402
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/34150
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, the method of initial functions (MIF) is used to solve the problem of bending
  an orthotropic plate clamped along all four sides, under the influence of a normal load uni-
  formly distributed over its surface. The solution is obtained in the form of an exponential
  series with unknown coefficients. The algorithm of the method is such that on two opposite
  sides the boundary conditions (equality to zero of displacements and angles of rotation) are
  satisfied exactly, while on a pair of two other opposite sides the boundary conditions are
  satisfied with an arbitrary degree of accuracy by the collocation method. All studies were
  carried out using the Maple analytical computing system. This system allows you to perform
  calculations with an arbitrary mantissa in the representation of real numbers. Calculations
  with a long mantissa overcome one of the main disadvantages of the MIF: the computational
  instability of its algorithm, which arises under certain parameters of the problem. The com-
  putational stability of the obtained solution is investigated, as well as the stress-strain state
  in the neighbourhood of the corner points of the plate. It is shown that the moments and
  shear forces tend to zero when approaching the corners of the plate with a single change in
  sign.
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. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: orthotropic plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: bending of a thin plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: clamped plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: method of initial functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: computer algebra
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Maple
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Method of initial functions in analyses of the bending of a thin orthotropic plate clamped along the contour
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 330-344.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/34150/1/330-344.pdf
resources.format: Adobe PDF
resources.size: 512,6 kB