Methods of mathematical modeling of the action of a medium on a conical body
Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 9-16
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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.
@article{CMA_2015_98_a1,
author = {A. V. Andreev and M. V. Shamolin},
title = {Methods of mathematical modeling of the action of a medium on a conical body},
journal = {Contemporary Mathematics and Its Applications},
pages = {9--16},
year = {2015},
volume = {98},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMA_2015_98_a1/}
}
TY - JOUR AU - A. V. Andreev AU - M. V. Shamolin TI - Methods of mathematical modeling of the action of a medium on a conical body JO - Contemporary Mathematics and Its Applications PY - 2015 SP - 9 EP - 16 VL - 98 UR - http://geodesic.mathdoc.fr/item/CMA_2015_98_a1/ LA - ru ID - CMA_2015_98_a1 ER -
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, Tome 98 (2015), pp. 9-16. http://geodesic.mathdoc.fr/item/CMA_2015_98_a1/