Perturbed rotational motions of a spheroid with cavity filled with a viscous fluid

Author:

Akulenko LD1,Leshchenko DD2,Paly KS2ORCID

Affiliation:

1. Laboratory of Control of Mechanical Systems, Ishlinsky Institute for Problem in Mechanics of the Russian Academy of Sciences, Moscow, Russia

2. Department of Theoretical Mechanics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine

Abstract

We consider a motion about the center of mass of a spheroid with a cavity filled with a viscous fluid. It is assumed that the velocity of the fluid is sufficiently high, so the corresponding Reynolds number is small. The torque of forces acting on the body by the viscous fluid in the cavity is determined by the method developed in the works of F.L. Chernousko. Asymptotic approach permits to obtain some qualitative results and to describe nonlinear evolution of angular motion using simplified averaged equations and numerical solution.

Funder

The Russian Science Foundation

Publisher

SAGE Publications

Subject

Mechanical Engineering

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