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STABILIZATION BY ROTATING RIGID BODIES FOR UNSTABLE ROTATION OF A RIGID BODY WITH CAVITIES CONTAINING A FLUID

机译:通过旋转刚体的刚体旋转稳定旋转,该刚体具有含有流体的空腔的刚体的不稳定旋转

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摘要

On XII International congress on theoretical and applied mechanics (ICTAM 1972) A. Y. Ishlinsky [1] has set the problem about definition of conditions for stability of uniform rotations of system in two heavy gyroscopes of Lagrange. The interesting effect of stabilization in unbalanced gyroscope of Lagrange by the second rotating [2, 3] has been found in the works of Donetsk school on mechanics under supervision of P.V.Kharlamov. In S. L. Sobolev's known work [4] it is shown that the Lagrange gyroscope if contains the perfect fluid is rather unstable. Therefore, the problem on the possibility of stabilization in unstable rotation of the gyroscope in question by one or two rotating rigid bodies has been put out. The possibility for stabilization by rotating rigid bodies in unstable rotation of the Lagrange gyroscope containing a perfect fluid is shown in our study. The case of free motion and the case when the Lagrange gyroscope with fluid rotates about a fixed point are considered. The equations of the works [5, 6] are foundations of the conclusion on the motion equations for the considered mechanical system.
机译:关于XII国际理论和应用力学大会(ICTAM 1972)A. Y.Ishlinsky [1]对拉格朗兰两种重型陀螺仪均匀旋转旋转稳定性的定义进行了解决。第二次旋转的稳定性陀螺仪中的稳定性稳定的有趣效果[2,3]已经发现了P.V.Kharlamov监督机制的顿涅茨克学校作品中。在S.L.SoboLev的已知工作[4]中显示了拉格朗日陀螺仪,如果含有完美的流体是相当不稳定的。因此,放出了通过一个或两个旋转刚体的陀螺仪所讨论的陀螺旋转不稳定旋转可能性的问题。在我们的研究中,示出了通过旋转刚性旋转含有完美流体的拉格朗日陀螺仪的不稳定旋转稳定的可能性。考虑了自由运动的情况和当具有流体旋转绕固定点的拉格朗日陀螺仪时的情况。作品[5,6]的方程是关于考虑机械系统的运动方程的结论的基础。

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