On the stability of a spinning top containing liquid
- 1 January 1959
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 5 (04) , 577-592
- https://doi.org/10.1017/s0022112059000404
Abstract
The stability of a heavy top, containing a cylindrical cavity partly full of liquid, for small displacements from the sleeping position is studied. It is shown theoretically that instability can occur when any one of the periods of free oscillation of the liquid, which are doubly infinite in number, is sufficiently near to the period of nutation of the empty top. In experiments carried out by Prof. Ward, only the two principal instabilities could be distinguished.Keywords
This publication has 2 references indexed in Scilit:
- On the motion of solids in a liquid possessing vorticityProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1916
- On the Precessional Motion of a Liquid 1Nature, 1877