Dynamics of a rigid body with an ellipsoidal cavity filled with viscous fluid |
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| Affiliation: | 1. Mechanical Engineering Research Institute, Russian Academy of Sciences, Maly Kharitonievskiy Pereulok, 4, 101990 Moscow, Russia;2. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya sq., 4, 125047 Moscow, Russia;3. Moscow Institute of Physics and Technology, Institutskiy S-Str., 9, 141700 Dolgoprudny, Russia;1. Institute of Mathematics, USC, RAS, Russia;2. Institute of Mathematics, University of Potsdam, Germany;1. School of Mathematics, Shandong University, Jinan, Shandong 250100, People''s Republic of China;2. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, People''s Republic of China;1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John''s, NL A1C 5S7, Canada;2. Dept. of Mathematics, UNC-CH, CB 3250 Phillips Hall, Chapel Hill, NC 27599-3250, USA |
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| Abstract: | We revisit the approach proposed by F.L. Chernousko to modeling the dynamics of a rigid body with a cavity entirely filled with a highly viscous fluid. Within the approach, a finite-dimensional model of the body+fluid system is offered and the influence of the fluid is represented as a special torque acting upon the body with solidified fluid. Our aim is to develop further and expand a few technical aspects of the Chernousko model. In particular, we offer a coordinate-free form for some essential formulas and consider the case of constrained dynamics. To illustrate the results obtained we explore the motion of a physical pendulum with a fluid-filled cavity on a rotating platform. |
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| Keywords: | Body with fluid-filled cavity Reduced order model Integral manifold |
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