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Methods of Mathematical Modeling of the Action of a Medium on a Conical Body

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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.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    A. V. Andreev

  2. Institute of Mechanics of the M. V. Lomonosov Moscow State University, Moscow, Russia

    M. V. Shamolin

Authors
  1. A. V. Andreev
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  2. M. V. Shamolin
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Correspondence to M. V. Shamolin.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 98, Geometry and Mechanics, 2015.

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Andreev, A.V., Shamolin, M.V. Methods of Mathematical Modeling of the Action of a Medium on a Conical Body. J Math Sci 221, 161–168 (2017). https://doi.org/10.1007/s10958-017-3224-8

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  • DOI: https://doi.org/10.1007/s10958-017-3224-8

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