Simulation of the Action of a Medium on a Conical Body and the Family of Phase Portraits in the Space of Quasivelocities
A. V. Andreev1, M. V. Shamolin2
1Peoples' Friendship University of Russia, Moscow, 117198 Russia
2Institute of Mechanics of the Lomonosov Moscow State University Moscow State University, Moscow 119192, Russia
Keywords: твердое тело, сопротивляющаяся среда, квазистационарность, фазовый портрет, rigid body, resisting medium, quasistationarity, phase portrait
Abstract
A mathematical model of the effect of a medium on a homogeneous rigid body whose outer surface includes a circumferential cone is considered. The complete system of equations of motion under quasistationarity conditions is given. In the dynamic part forming an independent third-order system, an independent second-order subsystem is distinguished. A new two-parameter family of phase portraits on the phase cylinder of quasivelocities is obtained.
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