Methods of Mathematical Modeling of the Action of a Medium on a Conical Body
- Authors: Andreev A.V.1, Shamolin M.V.2
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Affiliations:
- Peoples’ Friendship University of Russia
- Institute of Mechanics of the M. V. Lomonosov Moscow State University
- Issue: Vol 221, No 2 (2017)
- Pages: 161-168
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238966
- DOI: https://doi.org/10.1007/s10958-017-3224-8
- ID: 238966
Cite item
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.
About the authors
A. V. Andreev
Peoples’ Friendship University of Russia
Email: shamolin@imec.msu.ru
Russian Federation, Moscow
M. V. Shamolin
Institute of Mechanics of the M. V. Lomonosov Moscow State University
Author for correspondence.
Email: shamolin@imec.msu.ru
Russian Federation, Moscow