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Matematicheskoe modelirovanie, 2006, Volume 18, Number 5, Pages 37–48 (Mi mm68)  
This article is cited in 5 scientific papers (total in 5 papers)

Mathematical model of the snakeboard

A. S. Kuleshov
Full-text PDF (405 kB) Citations (5)
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Abstract: This paper investigates a simplified mathematical model of a derivative of a skateboard known as the Snakeboard. Equations of motion of the model are represented in Appell's form. Analytical and numerical investigation of these equations is performed. The basic snakeboard gaits (forward gait, rotate gait, transverse gait) are analyzed.
Received: 05.10.2005
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Language: Russian
Citation: A. S. Kuleshov, “Mathematical model of the snakeboard”, Mat. Model., 18:5 (2006), 37–48
Citation in format AMSBIB
\Bibitem{Kul06}
\by A.~S.~Kuleshov
\paper Mathematical model of the snakeboard
\jour Mat. Model.
\yr 2006
\vol 18
\issue 5
\pages 37--48
\mathnet{http://mi.mathnet.ru/mm68}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2254746}
\zmath{https://zbmath.org/?q=an:1123.70013}
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  • https://www.mathnet.ru/eng/mm68
  • https://www.mathnet.ru/eng/mm/v18/i5/p37
    • This publication is cited in the following 5 articles:
    1. de Leon M., Jimenez V.M., Lainz M., “Contact Hamiltonian and Lagrangian Systems With Nonholonomic Constraints”, J. Geom. Mech., 13:1, SI (2021), 25–53  crossref  mathscinet  isi
    2. Borisov A., Kilin A., Mamaev I., “Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard”, Int. J. Bifurcation Chaos, 29:3 (2019), 1930008  crossref  isi
    3. M. M. Gadzhiev, A. S. Kuleshov, A. I. Bukanov, “Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard”, Journal of Mathematical Sciences, 248:4 (2020), 392–396  mathnet  crossref  mathscinet
    4. Su BaiQuan, Wang TianMiao, Wang JunChen, Kuang ShaoLong, “Kinematic Mechanism and Path Planning of the Essboard”, Sci. China-Technol. Sci., 56:6 (2013), 1499–1516  crossref  isi  scopus
    5. de Leon M., “A historical review on nonholomic mechanics”, RACSAM Rev R Acad Cienc Exactas Fís Nat Ser A Mat, 106:1 (2012), 191–224  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Abstract page:588
    Full-text PDF :257
    References:73
    First page:7
     
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