纱路运行中局部悬链线的形态与张力

对于纺织生产过程中经常遇到的局部悬链线纱路,本文探讨了确定这种局部形态悬链线的具体数学表达式、纱线张力、曲线科率以及偏离直线最大偏距的计算方法,绘制了一系列曲线图来表示它们之间的变化关系.由于采用无量纲参变数表达形式,使其具有一定的普遍意义.按照这些曲线图或算式,结合实测悬链线的形态参数,便可推算出它的张力大小.

Configuration and Tension Variation in the Local Catenary Yarn Path

For the local catenary yarn path frequently encountered in textile processing, this paper studies the mathematical expression of its geometrical configuration and tension variation, as well as the curve inclination angle and its maximun suspending deflection. The final mathematical equaions and graphical curves are all presented in dimensionless forms, as they are more general and universal than dimensional expressions and graphs. On the other hand, we can also find out the catenary yarn tension from experimentally measured geometrical parameters by calculations based on those graphs or mathematical expressions as given in the paper.