Franchuk V., Zabolotnyi K., Antsiferov O., Havrilenko S. Investigation of a spatially-oscillating vibrating screen with longitudinal ridges
- Details
- Parent Category: Geo-Technical Mechanics, 2025
- Category: Geo-Technical Mechanics, 2025, Issue 175
Geotech. meh. 2025, 175, 68-83
https://doi.org/10.15407/geotm2025.175.068
INVESTIGATION OF A SPATIALLY-OSCILLATING VIBRATING SCREEN WITH LONGITUDINAL RIDGES
Dnipro University of Technology
UDC 621.926.22.001:622.732
Language: English
Abstract. The aim of the study is to improve the efficiency of classifying fine-grained bulk materials by creating a mathematical model of a vibrating screen with a corrugated screening surface operating in spatial (three-dimensional) vibration mode. The design with an inertial vibration exciter installed under the bottom of the box at an angle to the working surface is considered.
The first part presents a dynamic calculation of the screen. Linear vibrations in the vertical plane of symmetry of the screen and rotational vibrations around the horizontal and vertical axes passing through the center of gravity are considered. Lagrange equations of the second kind are compiled, taking into account inelastic resistance. Amplitude-frequency and phase-frequency characteristics are constructed. In the resonance zone, a sharp increase in the amplitudes of the screen's oscillations is observed. In the operating frequency zone, the amplitudes of the oscillations and the phase characteristics of the system stabilize.
The screen has a corrugated working surface. Therefore, the second part examines the movement of a particle of material within a single corrugation relative to a local coordinate system. Differential equations of motion of the particle along the working surface and perpendicular to the corrugation cross-section are derived. Given the initial conditions, expressions for the displacement of the particle in the specified directions are obtained. Under the action of vibration, the layer of material becomes loose. From this, it can be assumed that the movement of particles approximately characterizes the behavior of the material at individual points on the surface of the screen. Graphical dependencies of the movement of material along the working surface and in the transverse direction were obtained. Their analysis showed a relatively constant movement of particles along the box to the unloading point. Across the width of the screen, there is a significant difference in the speeds of movement in the central part and at the edges. This indicates the presence of intensified mixing of the material in the transverse direction, which has a positive effect on the quality of its classification.
The practical significance lies in the formation of recommendations for selecting the geometry of corrugations, frequency and phase excitation parameters for materials with different particle sizes, as well as in ensuring operation in the resonance range, which reduces peak inertial loads, energy consumption and wear.
The originality and value of the work lie in the construction of a consistent model that, for the first time, systematically combines the geometry of the corrugated surface and the spatial kinematics of the deck with the indicators of the loosening process, creating a basis for multi-criteria optimization of the structural and kinematic parameters of the screen.
Keywords: vibrating screen; spatial vibrations; corrugated screening surface; mathematical modeling; classification efficiency.
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About the authors
Franchuk Vsevolod, Doctor of Technical Sciences, Professor of the Department of Engineering and Design in Mechanical Engineering, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0003-0808-6606
Zabolotnyi Konstantin, Doctor of Technical Sciences, Professor of the Department of Engineering and Design in Mechanical Engineering, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0001-8431-0169
Antsiferov Oleksandr, Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Engineering and Design in Mechanical Engineering, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-0724-8792
Havrilenko Stanislav,Postgraduate Student, Department of Engineering and Design in Mechanical Engineering, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author), ORCID 0000-0003-0432-9623