Communications - Scientific Letters of the University of Zilina 2026, 28(1):B1-B8 | DOI: 10.26552/com.C.2026.002

An Analytical Model for Calculating the Active Interaction Forces of the Working Body of Earth-Moving Machines with Sticky Soils

Nurbol Kamzanov ORCID...1, Shynbolat Tynybekov ORCID...1, Nursat Baikenzhe ORCID...1, Guldariya Naimanova ORCID...2, Bakytzhan Kyrgyzbay ORCID...2, Rustem Kozbagarov ORCID...2, *
1 Satbayev University, Almaty, Republic of Kazakhstan
2 Mukhametzhan Tynyshbayev ALT University, Almaty, Republic of Kazakhstan

In this study is presented an analytical mathematical model developed to determine the forces arising during the active penetration of machine working bodies into sticky rocks. The methodology is based on the method of element-by-element calculation of resistances, where the contact zone is divided into discrete prisms of material. As a result of the analysis, a final formula for the total penetration force is derived. This formula shows the dependence of the resistance force on the dimensions of the tool (thickness, depth, angle of sharpening) and the physical characteristics of the rock (internal friction, adhesion, stickiness). The model serves as a reliable engineering tool for the design and optimization of working bodies of earthmoving and mining equipment.

Keywords: sticky rock, working body, earth-moving machine, angle of attack, penetration depth
Grants and funding:

The authors received no financial support for the research, authorship and/or publication of this article.

Conflicts of interest:

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Received: July 31, 2025; Accepted: October 30, 2025; Prepublished online: November 10, 2025; Published: January 26, 2026  Show citation

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Kamzanov, N., Tynybekov, S., Baikenzhe, N., Naimanova, G., Kyrgyzbay, B., & Kozbagarov, R. (2026). An Analytical Model for Calculating the Active Interaction Forces of the Working Body of Earth-Moving Machines with Sticky Soils. Communications - Scientific Letters of the University of Zilina, 28(1), B1-8. doi: 10.26552/com.C.2026.002
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