THE THEORETICAL ANALYSIS OF THE DYNAMICS OF THE TENSION FORCE OF THE YARN PRODUCED IN THE WORKING MACHINES DURING THE WEAVING PROCESS

Homidov Qahramon Abdullajonovich

Lecturer of Namangan State Technical University

Keywords: Yarn, resistance force, speed, expression, load, elasticity, deformation, breakage force, tension, weaving, differential equation, tension force.


Abstract

In the weaving process, yarns are typically used in a processed and sized form. High-quality woven fabrics are widely used across various industries, including textiles, transportation, construction, and other industrial sectors. Therefore, it is crucial to accurately define and study the mechanical properties of the yarns. Calculating the resistance forces that arise during the weaving process and analyzing them under different conditions is one of the main and urgent issues in the textile industry. During the weaving process, the tension force of the yarn increases significantly due to the opening of the warp, which may lead to the breakage of the yarn. To reduce the increase in tension force, spring-like mechanisms are employed. This article develops a dynamic model of the forces acting on the weaving yarn and formulates the corresponding differential equation. The resulting differential equation is solved analytically, its graph is plotted, and the mechanical meaning of the solution is discussed in detail.


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