Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2016, Issue 3, Pages 18–31
DOI: https://doi.org/10.21638/11701/spbu10.2016.302
(Mi vspui295)
 

Applied mathematics

On visualization of some thin shells and their stress-strain state

A. V. Aseeva, A. A. Makarovb

a Joint Stock Company “Rawenstvo”, 19, Promishlennaya ul., St. Petersburg, 198095, Russian Federation
b St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
References:
Abstract: Shells that are reinforced by ribs of variable height can reduce harmful stress concentrations for analysis of the stress-strain state of a stiffened structure it is necessary to know not only the greatest deflection and the maximum normal stress but also to gain a picture of the deflection and the stress intensity across the shell. Moreover, the construction of the field deflection of the shell from the surface structure (and not from a plane) can be more clearly reflect the deformation process. This can be achieved by developing special software for further practical use and that has a convenient graphical interface to provide the results of calculations in a user-friendly form. The purpose of this paper is to describe imaging of a mathematical model of the stress-strain state of thin-walled shell structures that are reinforced by ribs of variable height. The results that are described in this paper have been obtained using the developed software module, which can be used in the practice of calculating shell structures in their design, as well as in scientific research related to the problems of nonlinear deformation of thin-walled structures. The geometric shape of the shell is defined using Lame parameters, and the shell itself and its supporting ribs are imaged as a shell of step-variable thickness. The contact of rib and shell occurs on the band that more accurately reflects the actual work construction. Refs 16. Figs 9.
Keywords: thin shells, stability and strength of the shells, visualization of thin shells, reinforced shells, ribs of variable height.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-6766.2015.9
8.1046.2011
Received: February 18, 2016
Accepted: May 26, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. V. Aseev, A. A. Makarov, “On visualization of some thin shells and their stress-strain state”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 3, 18–31
Citation in format AMSBIB
\Bibitem{AseMak16}
\by A.~V.~Aseev, A.~A.~Makarov
\paper On visualization of some thin shells and their stress-strain state
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2016
\issue 3
\pages 18--31
\mathnet{http://mi.mathnet.ru/vspui295}
\crossref{https://doi.org/10.21638/11701/spbu10.2016.302}
\elib{https://elibrary.ru/item.asp?id=27345373}
Linking options:
  • https://www.mathnet.ru/eng/vspui295
  • https://www.mathnet.ru/eng/vspui/y2016/i3/p18
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
    Statistics & downloads:
    Abstract page:106
    Full-text PDF :42
    References:23
    First page:5
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024