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On the dynamics of inertial drives of vibrating machines – effects of energy and frequency pulsation

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Abstract
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The dynamics of drives for vibratory machines, in particular vibrating screens, whose working components oscillations are inducted by unbalanced rotors driven by electric motors, is considered. It is shown theoretically and experimentally that the device exhibits a systematic exchange of energy between the rotor and the oscillating body. In this case, the rotational speed of the rotor is not constant, as is commonly assumed, but fluctuates during each revolution at both the initial and multiple frequencies. As a result, the acceleration of the oscillating body also acquires harmonics at multiple frequencies. Estimates of the magnitude of the frequency fluctuations are given for the most common dynamic layouts of such devices. Both the detrimental effects of the observed phenomena and possibilities for their beneficial utilization are discussed.This research was a part of the state assignment of the Ministry of Science and Higher Education of the Russian Federation for the Institute for Problems in Mechanical Engineering of the Russian Academy ofSciences (registration number: 124040800009-8).

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