Ball mill mechanics
- professor
Abstract
The subject of study of the present article is the mechanical side of ball mill operation. It is not our task to consider questions of technological character.For this purpose, we shall analyze the existing theories of the ball mill, beginning with the generally accepted one, developed in the works of Prof. L. B. Levenson and Davis, which has become widespread, giving a number of approximate working formulas justified by practice.Let us proceed to analyze the theory of the ball mill in its essence. In doing so, let us restrict ourselves to the consideration of a cylindrical ball mill consisting of a drum with a horizontal axis of rotation O (Fig. 1) and loaded with a mixture of balls and ore. At a proper angular velocity of rotation of the drum, which is assumed to be constant, and the corresponding value of the mill loading, the following mode is established after some time. The balls, initially rotating together with the drum as one unit, at some point begin their movement relative to the drum and, falling downward, crush the ore by impact. Thus, we are dealing with the established motion of the system consisting of balls and ore. Contact between the latter is accompanied by mutual pressure of the contacting bodies, which disappears during the period of their free parabolic motion.
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