Abstract

Outer and inner constructions, having important effects upon the quality of woven fabrics, are completed by the behaviors of the warp & weft yarns during the following weaving periods;(I) Behaviors of the warp & weft yarns during the weft inserting motion.(II) Behaviors of the warp & weft yarns during interlacing period which is effected by the beating motion.(III) Relaxation of the warp & weft yarns which built the fabric constructions at an equilibrated state being not influenced by the beating motion.The calculation concerning the behaviors of the warp & weft yarns when the reed leaves the cloth-fell and while the reed is beating the cloth-fell during the above-mentioned period (II) is shown in this report.When the reed leaves the cloth-fell, the equilibrated position of the last weft yarn inserted is calculated by the following equation; where β (=α0): Shedding angle (q. v. Fig. 1) α1: Interlacing angle (q. v. Fig. 1) μ: Frictional coefficient between warp & weft yarnsThen the interlacing angle of the weft yarn beaten at the cloth-fell before n beatings, is calculated by the following formula;Moreover, while the reed beats the cloth-fell, the interlacing angle concerning the weft yarn beaten last is calculated by the following formula too; where T0: Tension of warp yarn before the reed beats the cloth-fell T0′: Tension of warp yarn increased owing to the beating k: T0′/T0 And, for n, after the weft yarn last beates up the cloth-fell, we obtained the following equation:Therefore, by n>1 we can calculate from the equation (2)-(4) easily the interlacing angles α1, α2, ……αn and α1′, α2′, ……αn′ with which one warp crosses each weft before and after each beating, when numerical values of β, k and μ are givenThen, comparing α1, α2, ……αn with α1′, α2′, ……αn′, we observed the theoretical interlacing phenomena between the warp & weft yarns, and established a guide for future experimental studies.

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