Engineering, Energy, Transport AIC

Polievoda Yurii – PhD, Associate Professor of the Department of Technological processes and Equipment for Processing and Food Productions of the Vinnytsia National Agrarian University (3, Sonyachna st., Vinnytsia, Ukraine, 21008, e-mail: vinyura36@gmail.com, https://orcid.org/0000-0002-2485-0611 ).
Volynets Yevhenii – post-graduate student of the 1st year of study, Faculty of Engineering and Technology, Vinnytsia National Agrarian University (3 Sunny Street, Vinnytsia, 21008, Ukraine, e-mail: evgen110596@gmail.com, https://orcid.org/0000-0002-3298-6316 ).

Vibration mechanics and vibroreology play an important role in the new section of applied vibration theory formed in recent years - the theory of vibration processes and devices.  This theory studies the patterns of excitation and vibration in different mechanical systems; it also includes the theory of machines in which vibration is used to achieve useful goals.
Based on the considered models, it was possible to describe the chaotic motion of the bulk medium layer over the vibrating plane. Such movements, well known for liquids, have indeed been observed in the case of a bulk medium, which serves as another confirmation of the possibility of modeling slow motions of a bulk medium during vibration in the form of viscous fluid motions (of course, with the above caveats and additions).
When studying the described simplest models, motion (including we are interested in slow motion) can be found by directly using the solution of the problem of vibrotransportation of the body (particles). The value of this approach is determined, however, by the possibility of its application for an approximate solution in more complex cases. In the study of slow motions of bodies interacting with both the forces of dry friction and collisions, these interactions can be modeled by the forces of viscous friction, taking into account the driving vibration force. This leads to the following vibroreological approach to modeling the behavior of the bulk medium in vibrating trays and vessels.
Of all the considered models, the most promising is the model of the behavior of the bulk medium under the influence of vibration in the form of a viscous medium.The described models can be used when considering a practically important task of vibration penetration into a free medium.

[1]    Subach, A. P. (1991). Dinamika protsessov i mashin obyemnoy obrabotki [Dynamics of processes and volumetric processing machines]. Riga [in Latvian].
[2]    Polievoda, Yu. A. (2015) Perspektyvy zastosuvannya vibratsiynykh efektiv v ridkykh tekhnolohichnykh systemakh kharchovykh i pererobnykh vyrobnytstv [Prospects for the application of vibration effects in liquid technological systems of food and processing industries]. Zbirnyk naukovykh pratsʹ Vinnytskoho natsionalnoho ahrarnoho universytetu. Collection of scientific works of Vinnytsia National Agrarian University, 1, 124–130 [in Ukrainian].
[3]    Babichev, A. P. (1194) Problemy vibratsionnoy tekhnologi [Vibration technology problems]. Vibrations in engineering and technology, 1, 1–13 [in Ukrainian].
[4]    Nikolayev, V. N. (2004). Razrabotka i obosnovaniye osnovnykh parametrov vibratsionnogo smesitelya sypuchikh kormov [Development and substantiation of the main parameters of a vibration mixer for bulk feed]. Candidate’s thesis. Chelyabinsk: Chelyabinsk State Agroengineering University [in Russian].
[5]    Blechman, I. I. (1976). Metod pryamogo razdeleniya dvizheniy v zadachakh o deystvii vibratsii na nelineynyye mekhanicheskiye sistemy [Method of direct separation of movements in problems of vibration action on nonlinear mechanical systems]. Ser. Mekhanika tverdogo tela  Ser. Rigid body mechanics, 6, 13–27 [in Russian].
[6]    Blechman, I. I. (1994). Vibratsionnaya mekhanika [Vibration Mechanics]. Moscow [in Russian].
[7]    Palamarchuk, I. P., Polievoda, Yu. A., Yanovich, V. P. (2009). Analiz matematychnoyi modeli vibrovidtsentrovoyi mashyny dlya ochyshchennya ridkoyi syrovyny [Analysis of mathematical model of vibrocentric machine for purification of liquid raw materials]. Vibratsiyi v tekhnitsi ta tekhnolohiyakh. Vibration technology issues, 4, 129–136 [in Ukrainian].
[8]    Bernik, P. S., Tsurkan, O. V. (2003). Mayatnikovyy preobrazovatel kolebatel'nogo dvizheniya vo vrashchatelnoye [Pendulum transducer of oscillatory motion into rotary motion]. Voprosy vibratsionnoy tekhnologii. Vibration technology issues, 16–20 [in Ukrainian].