Vibrations in engineering and technology

Olshansky Vasiliy Pavlovich - Professor of the Department of Theoretical Mechanics and Machine Parts, Kharkiv National University of Agriculture, Dr. Sci. (Phys.-Math).

Kharchenko Serhii – Candidate of Technical Sciences, Lecturer of the Department of Technological Systems Optimization named after T. P. Evsyukov Kharkiv Petro Vasylenko National Technical University of Agriculture (St. Alchevskih, 44, Kharkov, Ukraine, 61002, e-mail: kharchenko_mtf@ukr.net). 

On the basis of continual hydrodynamic model it is removed the closed formulas for calculation of speed of grain stream on the surface of vertical cylindrical sieve of the vibrocentrifuge, in supposition, that distribution of closeness on the thickness of small particles grainy mixture layer finely depends on the rate of movement of friable material. A linear differential equation of Bessel's type is comprised for the speed of the steady motion and his analytical solution in the cylindrical functions of zero index is built. It is shown that in border case, without accounting porosity change, the shown out formula passes to the well-known expression got before within the framework of hydrodynamic model for the homogeneous vibrofluidized mixture. Possibility of use in engineering calculations of also approximate decision received as a result of simplification of the differential equation of grain stream is investigated. On numerical examples, influence of various factors on the speed of the movement of mix on a sieve and its productivity on tails fraction is investigated.

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