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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 148, Pages 20–24 (Mi into299)  
This article is cited in 3 scientific papers (total in 3 papers)

Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard

M. M. Gadzhiev, A. S. Kuleshov, A. I. Bukanov

Lomonosov Moscow State University
Full-text PDF (202 kB) Citations (3)
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Abstract: Kinematics of the motion of a two-wheeled skateboard known as an essboard or a ripstik is studied in this paper. Using the theory of finite rotations, we propose an elementary derivation of the formula connecting the angle of slope of the ripstik platform with the angle of rotation of the wheels.
Keywords: two-wheeled ripstik skateboard, geometric constraint, finite rotation.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00338
17-01-00123
The work was supported by the Russian Foundation for Basic Research (project Nos. 16-01-00338 and 17-01-00123.
English version:
Journal of Mathematical Sciences, 2020, Volume 248, Issue 4, Pages 392–396
DOI: https://doi.org/10.1007/s10958-020-04879-x
Bibliographic databases:
Document Type: Article
UDC: 531.36
MSC: 70B10, 70B15
Language: Russian
Citation: M. M. Gadzhiev, A. S. Kuleshov, A. I. Bukanov, “Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard”, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148, VINITI, M., 2018, 20–24; Journal of Mathematical Sciences, 248:4 (2020), 392–396
Citation in format AMSBIB
\Bibitem{GadKulBuk18}
\by M.~M.~Gadzhiev, A.~S.~Kuleshov, A.~I.~Bukanov
\paper Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard
\inbook Proceedings of the International Conference ``Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,'' Ryazan, September 15--18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 148
\pages 20--24
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into299}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847704}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 248
\issue 4
\pages 392--396
\crossref{https://doi.org/10.1007/s10958-020-04879-x}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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