Behavior of a Light Solid in a Rotating Horizontal Cylinder with Liquid Under Vibration
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Dynamics of a cylindrical body in a rotating cavity is experimentally studied under transversal translational vibrations of the cavity rotation axis. Experiments are run at high rotation rate, when under the action of centrifugal force the body shifts to the rotation axis (the centrifuged state). In the absence of vibrations, the lagging rotation of the body is observed, due to the body radial shift from the axis of rotation caused by gravity. The body average rotation regime depends on the cavity rotation rate. The vibrations lead to the excitation of different regimes of body differential rotation (leading or lagging) associated with the excitation of its inertial oscillations. The dependence of the differential speed of the body rotation on the vibration frequency is investigated. The body dynamics has a complex character depending on the dimensionless vibration frequency. The analysis of body oscillation trajectory revealed that the body oscillatory motion consists of several modes, which contribute to the averaged dynamics of the body and the flows in the cavity.
KeywordsDifferential rotation Cylindrical body Vibrations
The authors are grateful to Prof. V. G. Kozlov for his interest to this work.
The work was supported by the Ministry of Education and Science of RF, project Open image in new window .
The authors are participants in the program of the President of RF for Leading Scientific Schools, project Open image in new window .
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