Journal of Mathematical Sciences

, Volume 221, Issue 2, pp 161–168 | Cite as

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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© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Peoples’ Friendship University of RussiaMoscowRussia
  2. 2.Institute of Mechanics of the M. V. Lomonosov Moscow State UniversityMoscowRussia

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