Mathematical modeling reveals how vibratory rollers affect soil compaction, improving construction efficiency.
Introduction . The article is devoted to modeling the process of interaction between a vibratory roller and deformable soil during compaction of technological layers of a highway. The relevance of the study is determined by the need to improve the quality and durability of the earth bed of roads and railroads, which directly depends on the efficiency of soil compaction. Methods and Materials . The research using the method of mathematical modeling of the oscillating system “roller vibration roller - deformable medium” is presented. The system includes interacting elements possessing rigid and viscous properties. These properties correspond to the rheological characteristics of the working body of the roller and the medium deformed by it. The model is based on the system of second-order differential equations describing the interaction between the masses of the vibratory roller and the ground medium taking into account their elastic- plastic and viscous properties. Results . For the first time relations between viscous friction coefficient and stiffness of deformed soil on the influence of external deforming force have been presented. On the basis of these data the system of differential equations of motion of oscillating masses has been considered, which allows determining average values of vibration accelerations in the volume of compacted soil. A functional dependence specifying the mass of actively deformed soil depending on vibration parameters, geometric characteristics of the roller and soil type has been proposed for the first time. Discussion and conclusion . The obtained results can be used to substantiate the rational frequency of vibration exciter vibrations and other mode parameters of road rollers, which helps to improve the efficiency of transportation construction. The improved mathematical model of interaction between the roller’s vibrating roller blade and deformed soil makes it possible to determine the values of vibration accelerations of particles of deformed soil. The results of the study can be used to improve the efficiency of road-building machinery, in particular, in the design of road rollers.
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Savelyev et al. (2025) studied this question.
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