Fluid filled gyros with free surfaces  Vibration and stability analysis
Abstract
The effects of vibration loading on a fluidfilled gyro in stationary equilibrium (such that the gyrofluid system rotates as a rigid body at constant angular velocity) are investigated analytically and experimentally. In the theoretical analysis, the fluid is treated as inviscid and incompressible (except at the free surfaces, where viscous effects are taken into account) and it is assumed that the perturbations are small. The equations of motion are derived as a system of linear ODEs and solved, and the results are compared with experimental measurements for a model of a spinstabilized satellite propellant tank; good agreement is demonstrated. Applications to fluidcooled gasturbine blades and fluidseparation centrifuges are indicated.
 Publication:

Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
 Pub Date:
 1987
 Bibcode:
 1987GMMWJ..67...61B
 Keywords:

 Equations Of Motion;
 Gyroscopes;
 Liquid Filled Shells;
 Liquid Fuels;
 Motion Stability;
 Structural Vibration;
 Angular Velocity;
 Differential Equations;
 Incompressible Fluids;
 Linear Equations;
 Satellites;
 Spin Stabilization;
 Physics (General)