Abstract
Currently, disintegrators are one of the types of equipment used for grinding and mixing various materials. The advantages of disintegrators are the ability to control the speed of rotation of the rotors and change the geometric parameters to obtain a grinding product with the desired grain composition, as well as the simplicity of the design. In this paper, as a result of theoretical research, analytical expressions and are obtained, which define the radial size between adjacent rows of impact elements of the grinding chamber with a periodically varying distance. This change in the radial size has a high-frequency character, which determines the destruction of material particles under the influence of tangential stresses arising in them. To perform the necessary transformations, the article presents a design scheme of the disintegrator grinding chamber with a changing radial distance between adjacent rows. In the inter-row space, due to the inequality of the circumferential velocities of moving particles, tangential stresses acting on these particles occur. According to the result of, the value of tangent stresses in the inter-row space depends on the circumferential velocity of the particle, the coefficient of pseudo-viscous flow grinding and the value of the inter-row distance. The value of the row spacing, due to its periodic nature, can be represented as a function of the amplitude of the change in this distance and the angle measured from the initial direction of the axis. By solving a first-order differential equation with separable variables, it is possible to determine the initial and final value of the particle velocity in the region (0 ≤φ≤ /2) of an inter-row space of variable cross-section. The destruction of a material particle in an area with a periodically changing distance will be carried out if the change in the kinetic energy of the particle exceeds the work on its destruction as a result of collision.
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