Mathematical modeling of wear processes of working bodies of earthmoving machines in abrasive soils
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Abstract
The study is devoted to the development of a comprehensive mathematical model for predicting the wear of working bodies of earthmoving machines when interacting with abrasive soils. The paper presents a multifactorial stochastic model that takes into account the geometric parameters of cutting elements, the physical and mechanical properties of soils and the operating conditions of equipment. A combined approach is applied, including finite element methods, Markov process theory, and regression analysis of experimental data. The empirical base of the study includes the results of field tests of seven types of earthmoving machines in various ground conditions with a total output of 12,400 m3. It was found that the intensity of abrasive wear increases exponentially with an increase in the content of quartz particles measuring 0.1-2.0 mm with a correlation coefficient of 0.847. The developed model demonstrates the accuracy of wear forecasting at the level of 87.3% for the period of operation up to 2000 hours. The mathematical description includes a second-order differential equation relating the wear rate to the contact stresses and abrasiveness of the medium. The practical significance of the work lies in the possibility of optimizing the geometric parameters of the working bodies and predicting the remaining resource with an error of no more than 12%. The research results provide a scientific basis for improving the designs of earthmoving equipment and increasing the efficiency of construction production.
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References
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