Vestnik SamGU. Estestvenno-Nauchnaya Ser.
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 SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2015, Issue 3(125), Pages 9–20 (Mi vsgu462)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Problem on vibration of a bar with nonlinear second-order boundary damping

A. B. Beylina, L. S. Pulkinab

a Samara State Technical University, 133, Molodogvardeyskaya Street, Samara, 443010, Russian Federation
b Samara State University, 1, Acad. Pavlov Street, Samara, 443011, Russian Federation
Full-text PDF (297 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
Abstract: In this paper, we study the initial-boundary problem with nonlinear dynamical boundary condition for the pseudohyperbolic equation. This problem represents a mathematical model of longitudinal vibration in a thick short bar with dynamic nonlinear second-order boundary damping. The existence and uniqueness of a generalized solution are proved. The proof is based on a priori estimates and Galerkin procedure. This approach allows to construct approximation in the suitable for practical application form.
Keywords: dynamic boundary conditions, nonlinear damping, pseudohyperbolic equation, generalized solution, Rayleigh’s model.
Received: 08.02.2015
Bibliographic databases:
Document Type: Article
UDC: 517.95, 624.07
Language: Russian
Citation: A. B. Beylin, L. S. Pulkina, “Problem on vibration of a bar with nonlinear second-order boundary damping”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 3(125), 9–20
Citation in format AMSBIB
\Bibitem{BeyPul15}
\by A.~B.~Beylin, L.~S.~Pulkina
\paper Problem on vibration of a bar with nonlinear second-order boundary damping
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2015
\issue 3(125)
\pages 9--20
\mathnet{http://mi.mathnet.ru/vsgu462}
\elib{https://elibrary.ru/item.asp?id=23480656}
Linking options:
  • https://www.mathnet.ru/eng/vsgu462
  • https://www.mathnet.ru/eng/vsgu/y2015/i3/p9
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного университета. Естественнонаучная серия
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024