A mathematical model of the motion of grinding bodies in a milling drum, a distinguishing characteristic of which is the consideration of two inertial forces associated with the drum’s rotation and its displacement using a carrier along a circular path, is developed. The model is represented as a system of differential equations of the relative motion of the grinding bodies. A zone analysis is conducted for the mechanical trajectory of a single grinding body along a flat bottom, which transitions to the conical section and vertical wall of the milling drum. The relationship between the variation in the maximum height of ascent of a milling body along the walls of the drum and its angular velocity is derived.
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Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, No. 7, pp. 7–10, July, 2009.
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Vaitekhovich, P.E., Semenenko, D.V. & Yukhnevich, D.V. Motion specifics of grinding bodies in vertical planetary mills. Chem Petrol Eng 45, 395 (2009). https://doi.org/10.1007/s10556-009-9199-7
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DOI: https://doi.org/10.1007/s10556-009-9199-7