Dynamics of a rigid body with an ellipsoidal cavity filled with viscous fluid

被引:11
|
作者
Ramodanov, S. M. [1 ]
Sidorenko, V. V. [2 ,3 ]
机构
[1] Russian Acad Sci, Mech Engn Res Inst, Maly Kharitonievskiy Pereulok 4, Moscow 101990, Russia
[2] Russian Acad Sci, Keldysh Inst Appl Math, Miusskaya Sq 4, Moscow 125047, Russia
[3] Moscow Inst Phys & Technol, Inst Skiy S Str 9, Dolgoprudnyi 141700, Russia
关键词
Body with fluid-filled cavity; Reduced order model; Integral manifold; PRECESSION; LIQUID; MOTIONS; DRIVEN; FLOWS;
D O I
10.1016/j.ijnonlinmec.2017.05.006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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. (C) 2017 Elsevier Ltd. All rights reserved.
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页码:42 / 46
页数:5
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