Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 3, Pages 32–38 (Mi vmumm150)  
Mechanics

Motion of a wheel over snow

V. G. Vil'ke, A. A. Semenov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A model of a snow layer represented by a continuous set of columns whose deformations are described by the nonlinear model of an ideal elastic-plastic continuous medium with viscous properties is proposed. The field of shear stresses at interaction of a rigid wheel with snow is specified by the law of dry friction. From the equations of motion describing the plane-parallel motion of the wheel, there are determined a zone of contact of the wheel with snow, the stationary motions of the wheel, and a mode of slipping the wheel. The research results are represented as tables and diagrams obtained by the numerical solution of the nonlinear equations of motion containing definite integrals with variable integration limits.
Key words: mechanical model of snow, motion of an undeformed wheel on snow.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI57714X0080
Received: 17.12.2014
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 3, Pages 58–64
DOI: https://doi.org/10.3103/S002713301603002X
Bibliographic databases:
Document Type: Article
UDC: 531.391
Language: Russian
Citation: V. G. Vil'ke, A. A. Semenov, “Motion of a wheel over snow”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3, 32–38; Moscow University Mechanics Bulletin, 71:3 (2016), 58–64
Citation in format AMSBIB
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