Features of the dynamics of screening with spatial vibrations of the working body
K. Zabolotnyi1, https://orcid.org/0000-0001-8431-0169
О. Antsiferov1, https://orcid.org/0000-0002-0724-8792
S.Havrylenko1 https://orcid.org/0000-0003-0432-9623
1Dnipro University of Technology, Dnipro, Ukraine
Coll.res.pap.nat.min.univ. 2025, 82:165-174
Full text (PDF)
https://doi.org/10.33271/crpnmu/82.165
ABSTRACT
Purpose. To improve the efficiency of fine particle classification in vibrating screens by determining the rational dynamic parameters of designs with spatial oscillations of the working body.
Methods. A dynamic model of the vibrating screen was developed on the basis of the Lagrange equations of the second kind, taking into account mass, inertial, and elastic-damping characteristics. The amplitude–frequency characteristics were determined by the method of undetermined coefficients, while non-elastic resistances were considered according to Volterra’s principle. A parametric analysis of the influence of the screen geometry and exciter position was carried out using mathematical modelling and analytical relationships. The adequacy of the model was verified by comparison with known experimental data.
Findings. For the first time, the influence of the mutual arrangement of the drive and the dimensions of the screen on the ratio of linear and angular displacements in systems with spatial oscillations has been substantiated. This makes it possible to purposefully form particle motion trajectories and optimise their transport velocity. It was shown that correct adjustment of the parameters reduces the risk of local overloads, ensures uniform loading of the screening surface, and increases the operational stability of the equipment.
Originality. Dependencies of vibration amplitudes on the drive installation location and geometric parameters have been obtained. Regularities in the variation of the vibration displacement coefficient across the width of the screening surface have been determined. The proposed approach makes it possible to predict the behaviour of the working body under variable loading conditions and to formulate recommendations aimed at improving the efficiency of separation processes.
Practical value. The developed recommendations can be used in the design of vibrating screens for the mining and mineral processing industry. Their application will contribute to increased productivity and selectivity, reduced energy consumption of processes, lower maintenance costs, and enhanced equipment reliability. The obtained conclusions are also useful for other industries where vibration technologies are applied, in particular for the processing of bulk construction materials and in the food industry.
Keywords: vibrating screen, spatial oscillations, amplitude–frequency characteristic, vibration displacement coefficient, dynamic model.
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