ON UNSTABLE GYROSCOPE CONTAINING FLUID ROTATION STABILIZATION BY ROTATING RIGID BODY

Abstract

The interesting effect of stabilization in unbalanced gyroscope of Lagrange by the second rotating has been found in the works of Donetsk school of mechanics under supervision of P. V. Kharlamov [1-5]. In S.L. Sobolev's known work [6] it is shown that the Lagrange gyroscope if contains the ideal fluid is rather unstable. In Y.N.Kononov's work [7] there is shown a possibility of rotation stabilization of the gyroscope by introduction in a cavity transversal and coaxial partitions. However, in practice it cannot always be carried out. The possibility of stabilization by rotating rigid body in unstable rotation of the Lagrange gyroscope containing an ideal fluid is shown in our study. The equations of the works [8, 9] are foundations of the motion equations for the considered mechanical system. Some results of the work have been informed on the ICTAM04 [10].