The stability of uniform rotations of a liquid-filled body
Abstract
Necessary stability conditions are examined in the case of uniform rotations of a heavy spinning top about its symmetric axis (aligned with the vertical). The top features a cavity shaped as an ellipsoid of revolution and completely filled with an ideal fluid; the fluid executes uniform vortical motion with vorticity vector equal in magnitude to the angular velocity of the confining shell. The nonlinear problem is posed and attacked.
- Publication:
-
Problems of Analytical Mechanics and Stability and Control Theories
- Pub Date:
- 1975
- Bibcode:
- 1975pams.book..267S
- Keywords:
-
- Ideal Fluids;
- Liquid Filled Shells;
- Rotary Stability;
- Angular Velocity;
- Bodies Of Revolution;
- Ellipsoids;
- Flow Equations;
- Roots Of Equations;
- Vortices;
- Fluid Mechanics and Heat Transfer