RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Sib. Zh. Ind. Mat., 2017, Volume 20, Number 4, Pages 90–102 (Mi sjim983)  

Auto-oscillations under the braking of a rigid body in a resisting medium

M. V. Shamolin

Institute of Mechanics, Lomonosov Moscow State University, 1 Michurinskii av., 119192 Moscow

Abstract: We carry out a qualitative analysis of the rectilinear and spatial problems of the motion of rigid bodies in a resisting media. We construct a nonlinear model of the impact of the medium on the rigid body taking into account the dependence of the arm of force on the reduced angular velocity of the body. In this case, the moment of the force is also a function of the angle of the attack. As was shown by processing the experimental data on the motion of homogeneous circular cylinders in water, these circumstances should be taken into account in the simulation. The analysis of the plane and space models of the interaction of a rigid body with a medium reveal sufficient conditions for the stability of the key motion regime, i.e., of the translational rectilinear braking. We show that, under certain conditions, the presence of a stable or unstable auto-oscillating regime in the system is possible.

Keywords: rigid body, resisting medium, translational rectilinear braking, auto-oscillations.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-00848-а


DOI: https://doi.org/10.17377/sibjim.2017.20.411

Full text: PDF file (290 kB)
References: PDF file   HTML file

English version:
Journal of Applied and Industrial Mathematics, 2017, 11:4, 572–583

Document Type: Article
UDC: 531.01+531.552
Received: 01.12.2016

Citation: M. V. Shamolin, “Auto-oscillations under the braking of a rigid body in a resisting medium”, Sib. Zh. Ind. Mat., 20:4 (2017), 90–102; J. Appl. Industr. Math., 11:4 (2017), 572–583

Citation in format AMSBIB
\Bibitem{Sha17}
\by M.~V.~Shamolin
\paper Auto-oscillations under the braking of a~rigid body in a~resisting medium
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 4
\pages 90--102
\mathnet{http://mi.mathnet.ru/sjim983}
\crossref{https://doi.org/10.17377/sibjim.2017.20.411}
\elib{http://elibrary.ru/item.asp?id=32662949}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 572--583
\crossref{https://doi.org/10.1134/S1990478917040159}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036466752}


Linking options:
  • http://mi.mathnet.ru/eng/sjim983
  • http://mi.mathnet.ru/eng/sjim/v20/i4/p90

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Сибирский журнал индустриальной математики
    Number of views:
    This page:113
    Full text:25
    References:19
    First page:5

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019