Abstract
The oscillations of a physical pendulum containing a spherical cavity filled with an incompressible viscous liquid were discussed in [1]. In this paper we consider the mote general problem of the motion of an axially symmetric solid with a spherical cavity filled with an incompressible viscous fluid and moving about a fixed point. It is assumed that the center of the cavity and the fixed point lie on the axis of symmetry of the body.
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References
O. B. Ievleva, “Small oscillations of a pendulum with a spherical cavity filled with a viscous liquid,” PMM, vol. 23, no. 6, 1964.
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P. S. Krasnoshchekov, “Oscillations of a physical pendulum with a cavity filled with a viscous liquid,” PMM, vol. 27, no. 2, 1963.
F. L. Chernous'ko, “Motion of a solid with cavities filled with a viscous liquid for small Reynolds numbers,” Zh. vychislit. matem. i matem. fiz., vol. 5, no. 6, 1965.
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Ievleva, O.B. Oscillations of a body filled with a viscous fluid. J Appl Mech Tech Phys 7, 18–22 (1966). https://doi.org/10.1007/BF00914327
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DOI: https://doi.org/10.1007/BF00914327