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Contemporary Mathematics and Its Applications, 2015, Volume 98, Pages 9–16 (Mi cma395)  

Methods of mathematical modeling of the action of a medium on a conical body

A. V. Andreeva, M. V. Shamolinb

a Peoples' Friendship University of Russia, Moscow
b Lomonosov Moscow State University, Institute of Mechanics

Abstract: We consider a mathematical model of a plane-parallel action of a medium on a rigid body whose surface has a part which is a circular cone. We present a complete system of equations of motion under the quasi-stationarity conditions. The dynamical part of equations of motion form an independent system that possesses an independent second-order subsystem on a two-dimensional cylinder. We obtain an infinite family of phase portraits on the phase cylinder of quasi-velocities corresponding to the presence in the system of only a nonconservative pair of forces.

Full text: PDF file (362 kB)

English version:
Journal of Mathematical Sciences, 2017, 221:2, 161–168

Document Type: Article
UDC: 531.01+531.552

Citation: A. V. Andreev, M. V. Shamolin, “Methods of mathematical modeling of the action of a medium on a conical body”, Contemporary Mathematics and Its Applications, 98 (2015), 9–16; Journal of Mathematical Sciences, 221:2 (2017), 161–168

Citation in format AMSBIB
\Bibitem{AndSha15}
\by A.~V.~Andreev, M.~V.~Shamolin
\paper Methods of mathematical modeling of the action of a medium on a conical body
\jour Contemporary Mathematics and Its Applications
\yr 2015
\vol 98
\pages 9--16
\mathnet{http://mi.mathnet.ru/cma395}
\transl
\jour Journal of Mathematical Sciences
\yr 2017
\vol 221
\issue 2
\pages 161--168
\crossref{https://doi.org/10.1007/s10958-017-3224-8}


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