Issue №2, Vol. 23
Trushevsky P., Kunitskaya O., Okhlopkova M., Perfiliev P., Revyako S., Makuev V. Mathematical model of the process of cleaning felling residues from mineral contamination in a drum-type installation // Resources and Technology. 2026. №2, Vol. 23. P. 28‒48.



DOI: 10.15393/j2.art.2026.9103

Mathematical model of the process of cleaning felling residues from mineral contamination in a drum-type installation

Trushevsky
   Pavel
Siberian Biougol LLC, pavel.trushevskii@mail.ru
Kunitskaya
   Olga
Arctic State Agrotechnological University, ola.ola07@mail.ru
Okhlopkova
   Marfa
Northeastern Federal University named after M. K. Ammosov, omk1268@mail.ru
Perfiliev
   Pavel
Northern (Arctic) Federal University named after M.V. Lomonosov, p.perfilev@narfu.ru
Revyako
   Sergey
Novocherkassk Engineering and Land Reclamation Institute, Don State Agrarian University, revyako77@mail.ru
Makuev
   Valentin
Mytishchi Branch of Bauman Moscow State Technical University, makuev@mgul.ac.ru
Key words:
felling residues; clearing of cutting areas; crushing of felling residues; cleaning of felling residues
Summary: Effective processing of felling residues in most cases involves their grinding, which is performed using mobile chopping machines. However, there is a problem of felling residues contamination with soil particles, which leads to rapid wear of chopping machines knives. The analysis showed that pre-cleaning of felling residues from mineral particles can significantly reduce the cutting speed. Previously, the use of mobile drum-type installations, much similar to mobile ham drums, was proposed as a simple and effective means of cleaning chopping residues. This article presents a mathematical model based on the approximation of the rotation body generatrix, which models the elements of processed felling residues. The model is based on spline interpolation, taking into account the geometric dimensions of the object of labor (diameter at the point of the vertex cut and length, taperage), as well as the parameters of their distribution. The authors claim that the distribution of the parameters of the models of felling residues formed during harvesting of pine wood corresponds to the logarithmically normal distribution law. The use of the obtained results seems promising when conducting research in the field of simulation modeling of waste processing of logging operations and lean forest management, improving the planning and management of a complex cycle of timber processing.

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