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Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, Issue 10(121), Pages 109–115
(Mi vsgu455)
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This article is cited in 1 scientific paper (total in 1 paper)
Mechanics
Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns
A. V. Andreeva, M. V. Shamolinb a Peoples’ Friendship University of Russia, Moscow, 117198, Russian Federation
b Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192, Russian Federation
Abstract:
Mathematical model of a medium interaction onto a rigid body with the part of its interior surface as the cone is considered. The complete system of body motion equations which consists of dynamic and kinematic parts is presented. The dynamic part is formed by the independent three-order subsystem. New family of phase patterns on phase cylinder of quasi-velocities is found. This family consists of infinite set of topologically non-equivalent phase patterns. Furthermore, under the transition from one pattern type to another one, the reconstruction of topological type occurs by the degenerate way. Also the problem of key regime stability, i.e., rectilinear translational deceleration, is discussed.
Keywords:
rigid body, resisting medium, dynamical system, phase pattern, topological equivalence.
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UDC:
531.01+531.552 Received: 20.05.2014
Citation:
A. V. Andreev, M. V. Shamolin, “Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 10(121), 109–115
Citation in format AMSBIB
\Bibitem{AndSha14}
\by A.~V.~Andreev, M.~V.~Shamolin
\paper Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2014
\issue 10(121)
\pages 109--115
\mathnet{http://mi.mathnet.ru/vsgu455}
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This publication is cited in the following articles:
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M. V. Shamolin, “Dvizhenie tverdogo tela s perednim konusom v soprotivlyayuscheisya srede: kachestvennyi analiz i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 83–108
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