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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 2, Pages 57–64 (Mi ivm8433)  
This article is cited in 12 scientific papers (total in 12 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 (12)
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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
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\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.
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\pages 57--64
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\transl
\jour Russian Math. (Iz. VUZ)
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\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}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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