Institute for Problems in Mechanical Engineering of RAS (St. Petersburg, Russia):

Blekhman I. I., Head of Laboratory, Doctor of Physical and Mathematical Sciences, Professor, iliya.i.blekhman@gmail.com
Blekhman L. I., Leading Researcher, Candidate of Engineering Sciences, liblekhman@yandex.ru
Vasilkov V. B., Leading Researcher, Doctor of Engineering Sciences, vlvasilkov@yandex.ru

The vibrational transportation rate is one of the main process parameters to be established when designing and calculating vibrational transportation and process machines. The theory of vibrational displacement usually enables a satisfactory description of the displacement rate for single bodies or a layer of granular material on a vibrating surface. This requires considering numerous regimes associated with a combination of various types of motion and making complex calculations or using special nomograms. Any derivation and use of formulas for calculating the vibrational transportation rate for each regime would be impractical, especially since this does not correspond to the parametrization accuracy. It is, therefore, suggested to consider a simpler «rough» model and to use simple approximating formulas. As a result, simple formulas have been obtained for evaluating the vibrational transportation rate in regimes with intensive tossing, typical for most traditional transportation and process machines, as well as for a number of new machines with more intensive vibration effects. Incidentally, expressions were obtained for an important process quantity — the relative flight duration of the material. Finally, the paper provides considerations on the research methodology for similar cases of complex system behavior.
The study was completed under the state assignment of the Ministry of Science and Higher Education of the Russian Federation covering research and development on topic No. АААА-А18-118011990283-5.

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