Whirling of Unsymmetrical Rotors

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Abstract
A study of the motion of elastically supported rotors having unequal diametral moments of inertia is presented. It is found that some rotors are dynamically unstable above a certain speed and that some of these may return to a stable condition at a sufficiently high speed depending on the particular magnitudes of the gyroscopic coupling and the inertia inequality. The effect on rotor stability due to nonrotating inequality in the supporting stiffnesses is studied. For small stiffness inequality this effect is only of second order; as the stiffness inequality is increased, new unstable speed regions may appear. Test results on an unsymmetrical rotor verify the theoretical predictions.

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