Vibrations in engineering and technology

Stepanenko Sergey - Candidate of Technical Sciences, Senior Researcher, Head of the Department of Advanced Technologies and Technical Means for Harvesting, Processing and Storage of Grain and Oilseeds Crops of the National Research Center "Institute of Mechanization and Electrification of Agriculture" (11 Vokzalnaya St., town. Glevakha, Vasilkovsky district, Kiev region, Ukraine e-mail: Stepsnenko_s@ukr.net).

Kotov Boris - Doctor of Technical Sciences, Professor of the Department of Agroengineering and Systems Engineering of Podolsk State Agrarian and Technical University (Shevchenko St., 13, Kamenets-Podolsky, 32316, e-mail: eetsapk@pdatu.edu.ua). 

Rud Anatolii - Candidate of Technical Sciences, Professor, Professor of the Department of Agroengineering and Systems Engineering of Podolsk State Agrarian and Technical University (32316, Khmelnytsky region, Kamyanets-Podilsky, 13 Shevchenko str.) 

Zamrii Mykhailo – Assistant of the Department of General Technical Disciplines and Occupational Safety of Vinnitsa National Agrarian University, service address: Vinnitsa st. Sonyachna 3, VNAU 21008

A mathematical description of the movement of caryopses in the composition of the components of grain material (CGM) on the surface of a stepped vibrating feeder is given when CGM is introduced into the aspiration channel of the separator under the action of vibrations on the CGM. The trajectories of movement of grains on the surface of the vibrating feeder with different sizes were obtained. 

The obtained equation of the movement of seeds under the action of vibrations makes it possible to determine the dependence of the speed of movement of the material in the CGM layer on a number of factors: the geometric parameters of the vibrating feeder, the angle of material feeding, the initial kinematic mode of the grain material, the indicator of the kinematic mode of the vibrating feeder, and the friction coefficient of the CGM. 

The process of movement of grain material on the stepped surface of the vibrating feeder has been substantiated, which makes it possible to determine the rational parameters of introducing the CGM into the aspiration channel of the separator and uniform distribution in the channel with the subsequent possibility of its fractionation.

The dependence of the function of the flow rate of grain material on the stepped surface of the vibrating feeder is obtained, which makes it possible to determine the parameters of the distribution of grain material over the sectional area of the aspiration channel of the separator.

The estimation of the absolute speed of grain material movement on the stepped surface of the vibrating feeder is made on the basis of a mathematical model constructed by hydrodynamic analogy, which in turn predetermines the analysis of the recombination of caryopses along the thickness of the vibrated layer of grain material.

According to the established mathematical models, graphical dependences of the absolute speed of movement on time, the trajectories of the array of particles, the calculated trajectories of particles of grain material, which are fed into the pneumatic channel under initial conditions, were built.

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