# Simulation of the Spatial Action of a Medium on a Body of Conical Form

Simulation of the Spatial Action of a Medium on a Body of Conical Form We consider amathematical model of the spatial action of a medium on the axisymmetric rigid body whose external surface has a part that is a circular cone.We present a complete system of equations of motion under the quasistationary conditions. The dynamical part forms an independent system of the sixth order in which the independent subsystems of lower order are distinguished. We study the problem of stability with respect to the part of variables of the key regime—the spatial rectilinear translational deceleration of the body. For a particular class of bodies, we show the inertial mass characteristics under which the key regime is stable. For a plane analog of the problem, we obtain a family of phase portraits in the space of quasivelocities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied and Industrial Mathematics Springer Journals

# Simulation of the Spatial Action of a Medium on a Body of Conical Form

, Volume 12 (2) – May 29, 2018
8 pages

/lp/springer_journal/simulation-of-the-spatial-action-of-a-medium-on-a-body-of-conical-form-c5Kzhr0ggt
Publisher
Subject
Mathematics; Mathematics, general
ISSN
1990-4789
eISSN
1990-4797
D.O.I.
10.1134/S199047891802014X
Publisher site
See Article on Publisher Site

### Abstract

We consider amathematical model of the spatial action of a medium on the axisymmetric rigid body whose external surface has a part that is a circular cone.We present a complete system of equations of motion under the quasistationary conditions. The dynamical part forms an independent system of the sixth order in which the independent subsystems of lower order are distinguished. We study the problem of stability with respect to the part of variables of the key regime—the spatial rectilinear translational deceleration of the body. For a particular class of bodies, we show the inertial mass characteristics under which the key regime is stable. For a plane analog of the problem, we obtain a family of phase portraits in the space of quasivelocities.

### Journal

Journal of Applied and Industrial MathematicsSpringer Journals

Published: May 29, 2018

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