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Evolution of Rotations of a Spheroid with a Cavity Filled with a Fluid of High Viscosity

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Abstract

In a non-standard setting, motion with respect to the center of mass of a spheroid with a cavity filled with a fluid of high viscosity is considered. The moment of forces acting on the body from the side of a viscous fluid in the cavity is determined by the technique developed in the works of F.L. Chernousko. As a result of original asymptotic and numerical calculations, solutions are obtained that describe the evolution of body motion over an infinite time interval with an asymptotically small error.

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Funding

This work was supported in part by the Russian Science Foundation (project no. 16-11-10343).

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Correspondence to L. D. Akulenko, D. D. Leshchenko or E. S. Paliy.

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Translated by I.K. Katuev

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Akulenko, L.D., Leshchenko, D.D. & Paliy, E.S. Evolution of Rotations of a Spheroid with a Cavity Filled with a Fluid of High Viscosity. Mech. Solids 55, 227–233 (2020). https://doi.org/10.3103/S0025654420020041

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  • DOI: https://doi.org/10.3103/S0025654420020041

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