Analysis of particular solutions of an unbalanced rotor in the framework of the Jeffcott model

Within the framework of the Jeffcott model, the question of the existence of stationary movements of a rotor mounted on a flexible shaft with a ball auto-balancing device (ABD) is investigated, when the treadmills of the balancing balls are installed not only with eccentricity, but also have a horizontal axis of rotation.The necessary conditions for the existence of stationary motions are obtained, an analysis is made of special cases when the balancing system is installed with a small eccentricity and angular error.Using the software package, graphs of the dependence between the coordinates of the center of mass of the rotor and the angular parameters of the ABD were obtained.

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