Vibrations in engineering and technology

Lanets Oleksii – Doctor of Technical Sciences, Professor, Director of the Institute of Engineering Mechanics and Transport of the Lviv Polytechnic National University (St. Bandery St., Lviv, Ukraine, 79013, e-mail: iimt.nulp@gmail.com);
Borovets Volodymyr – Candidate of Technical Sciences, Аssistant Professor of the Department of Mechanics and Automation of Mechanical Engineering at the Institute of Engineering Mechanics and Transport of the Lviv Polytechnic National University (St. Bandery St., Lviv, Ukraine, 79013, e-mail:
volbor1@gmail.com);
Maistruk Pavlo – Student of the Institute of Engineering Mechanics and Transport of the Lviv Polytechnic National University (St. Bandery St., Lviv, Ukraine, 79013, e-mail: pmaystruk@gmail.com);
Derevenko Iryna – Candidate of Technical Sciences, Аssistant Professor of the Department of General Technical Disciplines and Labor Protection, Vinnytsia National Agrarian University (3, Solnyschaya St., Vinnytsia, Ukraine, 21008, e-mail: i.a.derevenko@gmail.com).

An integral component in the calculation of vibration machines is the establishment of drive power necessary to set in motion an oscillating system with specified characteristics. However, difficulties often arise at this stage. The inertial characteristics of the drive directly affect the power consumption. Therefore, when calculating it, you must already know the size of the drive, which is still unknown, since it is only being installed.
This question is especially relevant for low-frequency oscillatory systems with an inertial drive, in which the inertial parameters of the drive are proportional to the masses of the oscillatory systems. In such oscillatory systems, ignoring the mass of the drive when setting the consumed power to set the mechanical oscillating system in motion can lead to the fact that the vibrating machine will not be able to provide the expected (calculated) technical and technological parameters, since the massive drive oscillates with the whole system, will take on its own propulsion a significant proportion of the energy.
The article justifies the analytical relation¬ships for calculating the power of vibration machines with inertial drive, taking into account the mass of vibrator motors. For this, systems of equations are solved that interconnect analytical expressions for calculating the powers necessary to bring the oscillatory systems into motion, taking into account the mass of vibrator motors. The solution to such systems is the value of the required drive power (vibrator motors) and its mass, which is already consistent with the masses of unified vibrator motors produced by manufacturers.
The obtained analytical dependences make it quite easy to determine the power of the drives in one-, two- and trimass oscillation systems of vibration machines with an inertial drive. Using the formulas obtained in the article, it is possible to precisely establish the necessary drive power to set the oscillatory system in motion and uniquely select the mass of the vibrator motor.

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