Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find






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


Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2020, Volume 24, Number 3, Pages 583–594
DOI: https://doi.org/10.14498/vsgtu1755
(Mi vsgtu1755)
 

This article is cited in 1 scientific paper (total in 1 paper)

Short Communication
Mechanics of Solids

Dynamic thermal stability of heated geometrically irregular cylindrical shell under the influence of a periodic temporal coordinate load

G. N. Belostochny, O. A. Myltcina

N. G. Chernyshevsky Saratov State University (National Research University), Saratov, 410012, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: In the framework of a Love type model, a geometrically irregular isotropic shallow cylindrical shell is considered, based on a strict continuum-shell-rib model. It is assumed that the geometrically irregular shell is heated to a constant temperature $\theta_0$, two opposite edges are exposed to a tangential load periodic in time coordinate, the amplitude and frequency of which are known ($p(t)=p_0 \cos \vartheta t$). The problem of determining the regions of dynamic instability of a thermoelastic system is reduced to considering a singular system of three differential equations of dynamic thermal stability of a geometrically irregular shell in displacements containing a term with tangential forces in the Brian form. These forces arising in the shell during its heating are preliminarily determined on the basis of closed solutions of the singular system of differential equations of the momentless thermoelasticity of the geometrically irregular shell. The specific initialized system of equations is transformed to the Mathieu equations, which are written in terms of the classical athermal theory of smooth plates containing corrections for geometric parameters — curvature, relative height of the reinforcing elements, their number, and temperature. The first three regions of dynamic instability of a geometrically irregular shell are determined. A quantitative analysis of the influence of the geometric parameters of the elastic system and temperature on the configuration of the regions of dynamic instability and the magnitude of the excitation coefficient is carried out.
Keywords: singularity, thermal stability, dynamics, geometric irregularity, continuum model, Mathieu equations, closed integrals, instability domains.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 9.8570.2017/8.9
The results have been obtained within the State Assignment of the Ministry of Education and Science of the Russian Federation no. 9.8570.2017/8.9.
Received: November 14, 2019
Revised: June 25, 2020
Accepted: September 14, 2020
First online: September 28, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.958:539.3(1)
MSC: 74F05, 74K20
Language: Russian
Citation: G. N. Belostochny, O. A. Myltcina, “Dynamic thermal stability of heated geometrically irregular cylindrical shell under the influence of a periodic temporal coordinate load”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:3 (2020), 583–594
Citation in format AMSBIB
\Bibitem{BelMyl20}
\by G.~N.~Belostochny, O.~A.~Myltcina
\paper Dynamic thermal stability of heated geometrically irregular cylindrical shell under the influence of a periodic temporal coordinate load
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2020
\vol 24
\issue 3
\pages 583--594
\mathnet{http://mi.mathnet.ru/vsgtu1755}
\crossref{https://doi.org/10.14498/vsgtu1755}
\elib{https://elibrary.ru/item.asp?id=45631186}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1755
  • https://www.mathnet.ru/eng/vsgtu/v224/i3/p583
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:313
    Full-text PDF :182
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024