Calculation of Frictional Forces in the Theory of Fibre Tension Accumulation and Transport Mechanisms

Abstract

The mechanisms that draw, accumulate, or transport chemical fibres act on their movement and stress-strain state with normal and frictional forces of interaction between fibres and the cylinders of the mechanisms. The auxiliary problem of determining the parameters characterizing the interaction between one of the cylinders in a mechanism and the part of the fibre abutting it is solved here. The solution of the problem was constructed by the small-parameter method, where the friction coefficient of the fibre against the cylinder was used as the parameter. The spatial position of the fibre, velocity of its particles, and tension in each cross section were determined in zeroth and first-order approximations.