M. Batista, “The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane”, Regul. Chaotic Dyn., 13:4 (2008), 344

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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 4, Pages 344–354
DOI: https://doi.org/10.1134/S1560354708040084 (Mi rcd582)

This article is cited in 11 scientific papers (total in 11 papers)

Nonholonomic mechanics

The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane

M. Batista

University of Ljubljana, Faculty of Maritime Studies and Transportation, Pot pomorscakov 4, 6320 Portoroz, Slovenia

Citations (11)

DOI: https://doi.org/10.1134/S1560354708040084

Abstract: In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact between a disk and a plane and the study of disk colliding motion.

Keywords: disk rolling, nonholonomic mechanics.

Received: 07.06.2008
Accepted: 14.07.2008

Bibliographic databases:

Document Type: Personalia

MSC: 37J15, 37J25, 70E18, 70H03, 70H33

Language: English

Citation: M. Batista, “The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane”, Regul. Chaotic Dyn., 13:4 (2008), 344–354

Citation in format AMSBIB

\Bibitem{Bat08}

\by M.~Batista

\paper The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane

\jour Regul. Chaotic Dyn.

\yr 2008

\vol 13

\issue 4

\pages 344--354

\mathnet{http://mi.mathnet.ru/rcd582}

\crossref{https://doi.org/10.1134/S1560354708040084}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2456927}

\zmath{https://zbmath.org/?q=an:1229.70014}

Linking options:

https://www.mathnet.ru/eng/rcd582

https://www.mathnet.ru/eng/rcd/v13/i4/p344

This publication is cited in the following 11 articles:

B. W. Collins, C. L. Hall, S. J. Hogan, “The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution”, SIAM J. Appl. Dyn. Syst., 22:4 (2023), 3358
E. A. Mikishanina, “Dinamika kacheniya diska s naklonnoi skolzyaschei oporoi”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2021, no. 3, 45–56
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane”, Regul. Chaotic Dyn., 23:6 (2018), 665–684
Alexander A. Kilin, Elena N. Pivovarova, “Integrable Nonsmooth Nonholonomic Dynamics of a Rubber Wheel with Sharp Edges”, Regul. Chaotic Dyn., 23:7-8 (2018), 887–907
A. S. Kuleshov, G. A. Chernyakov, “Investigation of the Motion of a Heavy Body of Revolution on a Perfectly Rough Plane by the Kovacic Algorithm”, J. Math. Sci. (N. Y.), 245:4 (2020), 417–497
Alexander A. Kilin, Elena N. Pivovarova, “The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane”, Regul. Chaotic Dyn., 22:3 (2017), 298–317
Alexey V. Borisov, Ivan S. Mamaev, Yury L. Karavaev, “On the loss of contact of the Euler disk”, Nonlinear Dyn, 79:4 (2015), 2287
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “Non-holonomic dynamics and Poisson geometry”, Russian Math. Surveys, 69:3 (2014), 481–538
A. V. Borisov, I. S. Mamaev, Yu. L. Karavaev, “Ob otryve diska Eilera”, Nelineinaya dinam., 9:3 (2013), 499–506
Ioannis Stefanou, Ioannis Psycharis, Ioannis-Orestis Georgopoulos, “Dynamic response of reinforced masonry columns in classical monuments”, Construction and Building Materials, 25:12 (2011), 4325
Ioannis Stefanou, Ioannis Vardoulakis, Anastasios Mavraganis, “Dynamic motion of a conical frustum over a rough horizontal plane”, International Journal of Non-Linear Mechanics, 46:1 (2011), 114

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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