УДК 621.01/.03 DOI: 10.21440/0536-1028-2019-4-114-123

Belovodskii V. N., Bukin S. L. Polyharmonic opportunities of vibrating machines with cardan joint in inertial drive transmission. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal = News of the Higher Institutions. Mining Journal. 2019; 4: 114–123 (In Russ.). DOI: 10.21440/0536- 1028-2019-4-114-123

Introduction. A number of studies have found that polyharmonic oscillations excited in the working bodies of vibrating machines can significantly intensify various technological processes. It is revealed that the more saturated the frequency spectrum of oscillations, the higher is the probability of occurrence of resonant movements of particles of the medium being processed.
Research aim is to study the nature of oscillations of the working body of a single-mass vibrator with Hooke’s joint in the transmission of an unbalanced vibration exciter, as well as to get an idea of the polyharmonic capabilities of such machines. Methodology includes the representation of vibrating machine working body motion mathematical model in the form the second order linear differential equation. A feature of the oscillating system is the effect on it of the exciting force of the centrifugal vibration exciter, which is driven by an electric motor through a cardan shaft. The solution of the problem was carried out by a numerical method with an original determination of the "almost-period" and the following frequency content of the oscillations of the working body.
Results. The non-periodic nature of oscillations is revealed, the method of investigating their frequency content based on the "almost-period" determination as the moment of phase trajectory "closure" is proposed and tested. According to the results of the study, the oscillation features of the vibrating machines with an inertial drive were revealed, their advantages and disadvantages were noted.
Conclusions. In the spectrum of the oscillation of the working body of the vibrating machine, harmonic components with close frequencies are dominant. To the considered scheme positive features, the global stability of the formed polyharmonic motion modes can be attributed.

Key words: vibrating machine; vibration exciter; Hooke’s joint; frequency content; "almost periodic"; polyharmonic.

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