On the final motion of cylindrical solids on a rough plane
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 585-603
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The problem of a uniform straight cylinder (disc) sliding on a horizontal plane under the action of dry friction forces is considered. The contact patch between the cylinder and the plane coincides with the base of the cylinder. We consider axisymmetric discs, i.e. we assume that the base of the cylinder is symmetric with respect to the axis lying in the plane of the base. The focus is on the qualitative properties of the dynamics of discs whose circular base, triangular base and three points are in contact with a rough plane.
Mots-clés :
Amontons–Coulomb law
Keywords: dry friction, disc, final dynamics, stability.
Keywords: dry friction, disc, final dynamics, stability.
@article{ND_2012_8_3_a11,
author = {Dmitrii V. Treschev and Nadezhda N. Erdakova and Tatyana B. Ivanova},
title = {On the final motion of cylindrical solids on a rough plane},
journal = {Russian journal of nonlinear dynamics},
pages = {585--603},
publisher = {mathdoc},
volume = {8},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2012_8_3_a11/}
}
TY - JOUR AU - Dmitrii V. Treschev AU - Nadezhda N. Erdakova AU - Tatyana B. Ivanova TI - On the final motion of cylindrical solids on a rough plane JO - Russian journal of nonlinear dynamics PY - 2012 SP - 585 EP - 603 VL - 8 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2012_8_3_a11/ LA - ru ID - ND_2012_8_3_a11 ER -
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Dmitrii V. Treschev; Nadezhda N. Erdakova; Tatyana B. Ivanova. On the final motion of cylindrical solids on a rough plane. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 585-603. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a11/