Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find






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


Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2015, Volume 11, Number 1, Pages 99–116 (Mi nd467)  

This article is cited in 3 scientific papers (total in 3 papers)

On the stability of the specific motions of a heavy rigid body due to fast vertical vibrations of one of its points

Olga V. Kholostova

Moscow Aviation Institute (National Research University), Volokolamskoe Shosse, 4, GSP-3, A-80, Moscow, 125993, Russia
Full-text PDF (363 kB) Citations (3)
References:
Abstract: We consider the motion of a heavy rigid body with one point performing the specified high-frequency harmonic oscillations along the vertical. In the framework of an approximate autonomous system of differential equations of motion two new types of permanent rotations of the body about the vertical are found. These motions are affected by presence of fast vibrations and do not exist in the case of a body with a fixed point. The problem of stability of the motions is investigated.
Keywords: rigid body, fast vibrations, permanent rotations, stability, resonance.
Funding agency Grant number
Russian Science Foundation 14-21-00068
Received: 22.10.2014
Revised: 16.12.2014
Bibliographic databases:
Document Type: Article
UDC: 531.36
MSC: 70E17, 70E20,70H14
Language: Russian
Citation: Olga V. Kholostova, “On the stability of the specific motions of a heavy rigid body due to fast vertical vibrations of one of its points”, Nelin. Dinam., 11:1 (2015), 99–116
Citation in format AMSBIB
\Bibitem{Kho15}
\by Olga~V.~Kholostova
\paper On the stability of the specific motions of a heavy rigid body due to fast vertical vibrations of one of its points
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 1
\pages 99--116
\mathnet{http://mi.mathnet.ru/nd467}
\elib{https://elibrary.ru/item.asp?id=23051491}
Linking options:
  • https://www.mathnet.ru/eng/nd467
  • https://www.mathnet.ru/eng/nd/v11/i1/p99
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
    Statistics & downloads:
    Abstract page:294
    Full-text PDF :111
    References:71
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024