Rigid body motion in a~resisting medium

M. V. Shamolin

Matematičeskoe modelirovanie, Tome 23 (2011) no. 12, pp. 79-104.

Résumé

Proposed work presents next stage of the study of the problem of the plane-parallel motion of a rigid body interacting with resistant medium only through the flat plate of its external surface. During of construction of mathematical model the information of the rigid body motion in a jet flow under assumptions of quasi-stationary conditions is used. The motion of a medium is not studied but is considered such problem of the motion of a rigid body in which case the typical time of the motion the body around its centre of mass is commensurable since typical time of the motion of centre itself. The conditions to asymptotic stability of the rectilinear onward braking is fulfilled, new multivariable family phase portrait in space of quasi-velocities is received, the quantitative material for undertaking further natural experiment about motion of the flap circular cylinder is prepared.

Détail

Keywords: rigid body, resisting medium, integrability, self-oscillations, natural experiment.

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