The general calculation model of the screen system was determined - the material is based on the study of the interaction processes between the sieve and the crushed stone that was on the screen. The selected model of vibration movement of loose material made it possible to determine the qual-itative and quantitative characteristics of the dynamic impact on the working body. The sorting process is presented as some orderly process of movement of a large number of different particles in a layer on a sieve. The main provisions for the calculation of the main parameters of the screen are formulated, which ensure the specified modes of the process of sorting the material and obtaining the appropriate fractional composi-tion of crushed stone. The prerequisite for choosing the calculation scheme "screen-sieving material" is the determination of the vibrational movement of a material particle along a vibrating hard surface inclined to the horizon at an angle that carries out rectilinear oscillations at an angle to the plane of the screen. At the same time, weight, friction force and normal reaction act on the particle. The proposed model made it possible to determine the speed of transportation in the case when the screening screen performs a circular motion, which is the addition of two independent oscillations with different amplitudes and frequencies. The sorting process is significantly affected by the probability of grains passing through the holes of the sieve. This prob-ability depends on the size of passing particles, the dynamic parameters of screen vibrations, the design of the sieve, the shape of the sieve openings, the coefficient of the live section (the ratio of the area of the openings in the light to the total area of the sieve. The average speed of passage of particles through the sieve is determined by the frequency of contact of particles with the surface and the ratio of particle sizes and the hole. The frequency of particle contact with the sieve is affected by the amplitude and frequency of vibrations of the sieve surface. The probability of a particle passing through the sieve hole during one collision can be estimated based on the calculation charts.
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