Yarn strength behaviour at different gauge lengths

Abstract

<span style="font-size: 16.0pt;font-family:Fd839219-Identity-H;mso-bidi-font-family:Fd839219-Identity-H">A theoretical model has been developed for predicting yarn strength at different gauge lengths as a summation of two mutually independent stationary, ergodic, Markovian and Gaussian stochastic processes and then experimentally verified with different cotton yarns produced from different spinning technologies. A new methodology to measure yarn strength at a

<span style="font-size: 16.0pt;font-family:Fd839219-Identity-H;mso-bidi-font-family:Fd839219-Identity-H">gauge length longer than that of the longest fibre in yarn has been devised and special data evaluation techniques developed.

<span style="font-size: 16.0pt;font-family:Fd839219-Identity-H;mso-bidi-font-family:Fd839219-Identity-H">With this, it is possible to obtain a new characterization of yarn strength as well as to predict actual yarn strength behavior at different gauge lengths. It is experimentally observed that the strengths of neighbouring short sections along a yarn are

<span style="font-size: 16.0pt;font-family:Fd839219-Identity-H;mso-bidi-font-family:Fd839219-Identity-H">correlated and this correlation is different in different yarns. Depending on the degree of this correlation, the empirical

<span style="font-size:16.0pt;font-family:Fd839219-Identity-H;mso-fareast-font-family: " times="" new="" roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:="" fd839219-identity-h;mso-ansi-language:en-us;mso-fareast-language:en-us;="" mso-bidi-language:ar-sa"="">equations relating yarn strength and gauge length are found to be different in different yarns.</span></span></span></span></span>