Theoretical and experimental studies for the evaluation of yarn transportation issues and suit thread stiffness in textile industry
Abstract
Differential equations of thread motion must satisfy initial and boundary conditions as well as holonomic and nogolonomic bonding conditions. Holonomic and nogolonomic bonds lead to the nonlinearity of the differential equations of yarns where the law of deformation is linear. This, in turn, limits the ability to obtain analytical solutions to the differential equations of motion of yarns. Because of this, most studies consider yarns to be an environment that can only resist elongation. Methods of theoretical and experimental research and evaluation of the bending strength of the suit thread material are proposed in this article. Besides that, yarn transportation issues were also discussed according to the loss of yarn deformation. An algorithm for calculating and the results of numerical experimental studies of the dependence of bending deformation on the main deformation parameters of the filament material are presented. The developed methods of theoretical and experimental study of internal forces, bending deformation and bending stiffness coefficient can be used in designing new filament materials and assessing the strength of specified materials.