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

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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… Click to show full 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.

Keywords: mathematical modeling; action medium; methods mathematical; body; action

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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