Kalashnyk V. Improvement of technological processes of knitting and weaving regarding anisotropy of frictional properties of the fiber.

For the first time, on the basis of solving the system of differential equations which describe the transverse movement of the fiber on the flat guide regarding the anisotropy of friction, the expressions have been obtained for determining the shape of the axis and tension of the fiber which has enable improve filling characteristics of textile and knitting machines. For the first time, the systems of differential equations have been obtained which describe the cross-sliding of fibers on cylinder guides regarding the anisotropy of frictions. Upon integration, that has enabled obtain the equations for determining the shape and tension regarding the anisotropy of fibers frictions in the longitudinal and transverse directions.