¹Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (St. Petersburg, Russia) ; ²REC “Mekhanobr-Tekhnika” (St. Petersburg, Russia):

Blekhman I. I.^{1, 2}, Chief Researcher, Doctor of Physical and Mathematical Sciences, Professor, iliya.i.blekhman@gmail.com
Blekhman L. I.^{1, 2}, Leading Researcher, Candidate of Engineering Sciences
Vasilkov V. B.^{1, 2}, Leading Researcher, Doctor of Engineering Sciences

REC “Mekhanobr-Tekhnika” (St. Petersburg, Russia):

Vaisberg L. A.², Scientific Advisor, Doctor of Technical Sciences, Professor, Academician of the Russian Academy of Sciences

The problems of the drive dynamics of vibrational transportation and process machines with rectilinear oscillations of the working body and inertial (unbalanced) vibration exciters are investigated. These vibrating machines are used for material transportation (e.g. vibrating conveyors, feeders) or in industrial processes involving material transportation (e.g. screening). In the analysis of energy consumption, a differentiation is made between necessary and avoidable energy requirements. The former group includes all energy related to the vibrational effects on the process load and losses occurring when overcoming the drive resistance; the latter group is the energy required when starting the machines. Using the theory of vibrational displacement and the impact theory, formulas are obtained for calculating the energy consumed in producing the vibrational effects on the material processed for the most common machine operation regimes, namely, the tossing regimes. Requirements are developed for the installed power of motors used for lifting the unbalance mass and for overcoming the resonance frequency at machine start-up. Formulas are suggested for estimating the effective coefficients of viscous resistance to oscillations and the so called added mass. i.e. the parameters used to account for the influence of the process load. The results of the calculations made using the formulas suggested are compared with the technical specifications of advanced vibrating screens. It is shown that the design motor power required is significantly less than the installed power. Possible ways of reducing or eliminating start-up energy consumption are discussed.
The authors would like to thank Candidate of Physical and Mathematical Sciences P.D. Morozov (Mekhanobr-Tekhnika REC) for assistance in performing the calculations.
The study was carried out under grant No. 17-79-30056 of the Russian Science Foundation (project of Mekhanobr-Tekhnika REC).

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