Theory of rolling: Solution of the Coulomb problem View Full Text


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Article Info

DATE

2014-01

AUTHORS

G. P. Cherepanov

ABSTRACT

A theory of rolling of round bodies in the normal mode with adhesion conditions satisfied on the entire contact area is proposed. This theory refines the classical Coulomb’s theory of rolling in which the rolling moment is directly proportional to the pressing force (e.g., the weight of the rolling body). The rolling moment of cylinders is found to be directly proportional to the pressing force raised to a power of 3/2, and the rolling moment of balls and tori is proportional to the pressing force raised to a power of 4/3. It is shown that the normal mode of uniform rolling can only be provided for a certain ratio of the elastic constants of the materials of the round body and the base forming an ideal pair. The Coulomb problem is solved for the cases of rolling of an elastic cylinder over an elastic half-space, of an elastic ball over an elastic half-space, of an elastic torus over an elastic half-space, and of a cylinder and ball over a tightly stretched membrane. The rolling law is derived for such cases. The rolling friction coefficients, the rolling moment, and the rolling friction force are calculated. More... »

PAGES

182-189

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0021894414010210

DOI

http://dx.doi.org/10.1134/s0021894414010210

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1049191728


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