Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 2, Pages 57–64 (Mi ivm8433)  
This article is cited in 11 scientific papers (total in 11 papers)

The optimal quasi-stationary motion of a vibration-driven robot in a viscous medium

A. G. Egorov, O. S. Zakharova

Chair of Aerohydromechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (182 kB) Citations (11)
References:
PDF
HTML
Abstract: We consider a rectilinear quasi-stationary motion of a two-mass system in a viscous medium. The motion of the system as a whole occurs due to periodic movements of the internal mass relatively to the shell. The problem is to describe the law of motion of the internal mass that provides the minimum energy consumption with a specified average velocity of the shell. We propose an algorithm for solving the problem with any law of resistance of the medium. We obtain the energy-optimal law of motion of a spherical shell in a viscous liquid.
Keywords: vibration-driven robot, energy consumption coefficient, optimal control.
Received: 01.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 2, Pages 50–55
DOI: https://doi.org/10.3103/S1066369X12020065
Bibliographic databases:
Document Type: Article
UDC: 531.391+517.958
Language: Russian
Citation: A. G. Egorov, O. S. Zakharova, “The optimal quasi-stationary motion of a vibration-driven robot in a viscous medium”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 2, 57–64; Russian Math. (Iz. VUZ), 56:2 (2012), 50–55
Citation in format AMSBIB
\Bibitem{EgoZak12}
\by A.~G.~Egorov, O.~S.~Zakharova
\paper The optimal quasi-stationary motion of a~vibration-driven robot in a~viscous medium
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 2
\pages 57--64
\mathnet{http://mi.mathnet.ru/ivm8433}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076529}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 2
\pages 50--55
\crossref{https://doi.org/10.3103/S1066369X12020065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862643689}
Linking options:
  • https://www.mathnet.ru/eng/ivm8433
  • https://www.mathnet.ru/eng/ivm/y2012/i2/p57
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:229
    Full-text PDF :79
    References:28
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024