Regular and Chaotic 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



Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find






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


Regular and Chaotic Dynamics, 2014, Volume 19, Issue 2, Pages 214–225
DOI: https://doi.org/10.1134/S1560354714020051
(Mi rcd127)
 

This article is cited in 5 scientific papers (total in 5 papers)

On the Impulsive Dynamics of M-blocks

Alexander P. Ivanovab

a Moscow Institute of Physics and Technology, Inststitutskii per. 9, Dolgoprudnyi, 141700 Russia
b Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (5)
References:
Abstract: This paper is concerned with the motion of a cubic rigid body (cube) with a rotor, caused by a sudden brake of the rotor, which imparts its angular momentum to the body. This produces an impulsive reaction of the support, leading to a jump or rolling from one face to another. Such dynamics was demonstrated by researchers from Massachusetts Institute of Technology at the IEEE/RSJ International Conference on Intelligent Robots and Systems in Tokio in November 2013. The robot, called by them M-block, is 4 cm in size and uses an internal flywheel mechanism rotating at 20 000 rev/min. Initially the cube rests on a horizontal plane. When the brake is set, the relative rotation slows down, and its energy is imparted to the case. The subsequent motion is illustrated in a clip [13]. Here the general approach to the analysis of dynamics of M-cube is proposed, including equations of impulsive motion and methods of their solution. Some particular cases are studied in details.
Keywords: gyrostat, impulsive dynamics, friction, robotic dynamics.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00432-a
Ministry of Education and Science of the Russian Federation 2014/120
This work was supported by the RFBR grant no.14-01-00432 and by the project 2014/120 within the framework of the basic part of the government research assignment.
Received: 30.01.2014
Accepted: 28.02.2014
Bibliographic databases:
Document Type: Article
MSC: 70E18, 70E60
Language: English
Citation: Alexander P. Ivanov, “On the Impulsive Dynamics of M-blocks”, Regul. Chaotic Dyn., 19:2 (2014), 214–225
Citation in format AMSBIB
\Bibitem{Iva14}
\by Alexander~P.~Ivanov
\paper On the Impulsive Dynamics of M-blocks
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 2
\pages 214--225
\mathnet{http://mi.mathnet.ru/rcd127}
\crossref{https://doi.org/10.1134/S1560354714020051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3189258}
\zmath{https://zbmath.org/?q=an:1308.70004}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000334198000005}
Linking options:
  • https://www.mathnet.ru/eng/rcd127
  • https://www.mathnet.ru/eng/rcd/v19/i2/p214
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:178
    References:48
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024