Vibrations in engineering and technology

Serilko Leonid – Ph.D., Associate Professor of the Department of Theoretical Mechanics, Engineering Graphics and Machine Science of the National University of Water and Environmental Engineering (Soborna St., 11, Rivne, Ukraine, 33028, e-mail: lsserilko@nuwm.edu.ua).

Sasiuk Zoia  – Ph.D., Associate Professor of the Department of Theoretical Mechanics, Engineering Graphics and Machine Science of the National University of Water and Environmental Engineering (Soborna St., 11, Rivne, Ukraine, 33028, e-mail: z.k.sasiuk@ nuwm.edu.ua).

Shchuryk Volodymyr – Ph.D., Associate Professor of the Department of Theoretical Mechanics, Engineering Graphics and Machine Science of the National University of Water and Environmental Engineering (Soborna St., 11, Rivne, Ukraine, 33028, e-mail: v.o.shchuryk@nuwm.edu.ua).

Serilko Dmitry – Ph.D., Senior Lecturer of the Department of Construction, Road, Reclamation, Agricultural Machinery and Equipment of the National University of Water and Environmental Engineering (Soborna St., 11, Rivne, Ukraine, 33028, e-mail: dl serilko@nuwm.edu.ua).

High-frequency oscillations are widely used to intensify various technological processes. An analysis of known methods was carried out to study the motion of bulk material on a sloping surface, which performs lineal or lateral oscillations. Thus, we prepared a mathematical model of bulk material motion in a rectangular gutter transmitting high-intensivity fluctuations in plane surface with largest inclination. By experiment we found out that such under such oscillations the material saves the gutter shape and therefore its movement can be considered as the motion of a solid body on a sloping surface. With the averaging-out method we obtained an approximate equation ssolution of this motion, which moderately corresponds to the results of experimental studies. Received relations of the average velocity of bulk material on gutter surface from the its inclination angle to the horizon and the material slip friction coefficient on this surface can be used in engineering calculations to solve specific practical problems.

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