DETERMINING THE THREAD TENSION ON A WEAVING LOOM

Abstract

The research is made into optimization of yarn tension on a weaving loom using mathematical models, which is aimed at improving fabric quality. The focus of the work is to develop a method for calculating the optimal thread tension to reduce breakage, especially in production of fabrics from natural silk. The relevance of the study lies in the need to enhance the quality of textile produce and reduce costs by optimizing the manufacturing process. The problem is in the lack of precise mathematical models that enable control on the yarn tension at various stages of the weaving process. The research methodology is based on variation calculus, where a functional is introduced to assess distribution of tension, and Euler's equation is solved to minimize it. As a result, an optimal model for yarn tension distribution, that can be applied to various types of fabrics and looms, has been achieved. Scaling of the �indings is possible for the bene�it of the industrial textile sector, especially in manufacture of delicate materials. Conclusions show that the proposed model helps ensure even tension distribution, reduce defects, and improve fabric quality.