Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2020-2pp.227-233

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Total articles in the database: 10864
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L.D. Akulenko, D.D. Leshchenko, and E.S. Paliy, "Evolution of Rotations of a Spheroid with a Cavity Filled with a Fluid of High Viscosity," Mech. Solids. 55 (2), 227-233 (2020)
Year 2020 Volume 55 Number 2 Pages 227-233
DOI 10.3103/S0025654420020041
Title Evolution of Rotations of a Spheroid with a Cavity Filled with a Fluid of High Viscosity
Author(s) L.D. Akulenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia)
D.D. Leshchenko (Odessa State Academy of Civil Engineering and Architecture, Odessa, 65029 Ukraine, leshchenko_d@ukr.net)
E.S. Paliy (Odessa State Academy of Civil Engineering and Architecture, Odessa, 65029 Ukraine, eschernyakova@gmail.com)
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.
Keywords spheroid, cavity, viscous fluid, rigid body, averaging
Received 15 April 2019Revised 18 July 2019Accepted 04 October 2019
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