Rigid body motion in a resisting medium modelling and analogues with vortex streets

M. V. Shamolin

Matematičeskoe modelirovanie, Tome 27 (2015) no. 1, pp. 33-53.

Résumé

The author returns to construction of nonlinear mathematical model of the planar interaction of a medium to the rigid body was constructed. That model takes into account the dependency of shoulder of force from effective angular velocity of the body (the type of Strouhal number). In this case the moment of force of the interaction itself is also function of the angle of attack. As it has shown for processing the experiment on the motion of the uniform circular cylinders in water, these facts necessary to take into account at modeling. At study of flat model of the interaction of the rigid body with a medium the new cases of full integrability in elementary functions are found that has allowed to find the qualitative analogies between the free moving bodies in a resisting medium and the oscillations of bolted bodies in a jet flow. The comparison of phase patterns obtained under studying of nonlinear model of medium interaction, and the real vortex streets obtained by Karman, is occurred.

Détail

Keywords: rigid body, resisting medium, jet flow, full integrability.

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