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Implementation of a computational experiment for shock interaction of spherical bodies

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Parent Category: 2025

Category: Content №2 2025

Created on 26 April 2025

Last Updated on 26 April 2025

Published on 30 November -0001

Written by R. Rogatynskyi, O. Lyashuk, B. Mussabayev, I. Hevko, O. Dmytriv, A. Kozhevnykov

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Authors:

R.Rogatynskyi, orcid.org/0000-0001-8536-4599,  Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine

O.Lyashuk*, orcid.org/0000-0003-4881-8568,  Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

B.Mussabayev, orcid.org/0000-0002-1794-7554, Mukhametzhan Tynyshbayev ALT University, Almaty, the Republic of Kazakhstan

I.Hevko, orcid.org/0000-0001-5170-0857,  Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine

O.Dmytriv, orcid.org/0000-0003-0914-1267,  Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine

A.Kozhevnykov, orcid.org/0000-0002-0078-2546, Dnipro University of Technology, Dnipro, Ukraine

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

повний текст / full article

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2025, (2): 147 - 154

https://doi.org/10.33271/nvngu/2025-2/147

Abstract:

Purpose. To identify the time-dependent patterns in the kinetic and dynamic parameters of impact-based contact interactions among objects, as derived from a computational experiment to construct relevant approximation relationships for designing technological processes to load spherical bodies, specifically pellets.

Methodology. To determine the temporal laws governing changes in the kinematic and dynamic parameters of contact interactions and to develop the corresponding computational experiment model, a simulation-based approach was employed. This approach relies on solving the Hertz contact problem and modelling the relative motion of objects within a homogeneous coordinate system, based on solutions to their equations of motion.

Findings. Experiments conducted with the developed simulation model made it possible to track the temporal distribution of forces during impact interactions of spherical bodies with a plane, as well as their kinematics – specifically, the duration of contact and the changes in linear and angular velocities at the moment of impact. The computational experiment was carried out using a model of pellet interactions with technological surfaces.

Originality. Unlike the existing models, the newly developed algorithms and simulation model enable continuous monitoring of all the primary kinematic and dynamic parameters throughout the impact event, identifying both the maximum force and impact duration as well as yield an approximation function describing how impact force varies over time when spherical bodies collide with technological surfaces. The proposed algorithms also allow for the simultaneous simulation of multiple-body interactions, such as those occurring in a flow.

Practical value. The obtained results were validated for the interaction of ore pellets with technological surfaces, making it possible to determine a safe approach velocity – one that prevents pellet destruction – when contacting working surfaces. This substantially reduces pellet fragmentation during transportation and loading operations, ultimately improving the quality of ferroalloy smelting from these pellets.

Keywords: algebraic-logical functions, computational experiment, spheres, discrete element method (DEM), iron ore pellets

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