Research on the dynamics of transitional regimes in an inertial screen with two motor vibrators

Abstract

Purpose. Analysis of mathematical models of vibrating screens, using the theory of oscillations and mathematical modeling to study the impact of initial start-up parameters and the dynamics of transient processes on the operation of the screen. Methodology. This research is dedicated to the analysis of mathematical models that describe the startup process and subsequent operation of a vibratory screen. Methods of oscillation theory, system dynamics, and mathematical modeling are applied to analyze the vibratory processes of screens. Special attention is given to studying the impact of initial startup parameters on the operation of the screen, including amplitude, frequency, and phase of oscillations. Within the framework of this work, detailed graphs are constructed that reflect the displacement of different points of the structure, as well as the trajectories of their movement during operation, using the Mathcad software. Results. Transitional modes of startup and steady operation are analyzed, with motion dynamics equations for both phases detailed. Displacement graphs for key screen points over time and changes in screen movement across operational modes are highlighted. Scientific novelty. The study defines a mathematical model for the motion of a screen with two motor-vibrators during startup and steady operation. It introduces a graph showing the screen points' displacement over time, from startup to steady mode, and illustrates the trajectories of these points under various operational modes. This research advances material classification techniques, enhancing process optimization and equipment efficiency. Practical significance. This research enhances vibratory material sorting by analyzing screen dynamics across operating modes, leading to optimized workflows, lower energy use, and improved sorting efficiency. It also bolsters equipment reliability and reduces the risk of failures, cutting down on maintenance and repair expenses.