纱线动态加捻的理论研究 第一部分:动态加捻基本方程的建立

YARN TWISTING DYNAMICS Part Ⅰ Fundamental relationships

动态加捻过程的描速是成纱原理研究的基础,它能够帮助我们理解纱线结构和特性的形成过程并揭示一些提高生产效率、改善纱线质量的途径。在本文第一部分,我们从捻度流概念和纱线微元分析入手,推导动态加捻所遵从的运动学和动力学方程。运动学方程描述了纱线回转运动与捻度分布之间的关系,而动力学方程则给出了加捻力矩与纱线捻度以及运动学参数之间的联系。将这两个方程结合起来可以描述捻度波在运动纱线中的传播过程。

A proper description of dynamic twisting process is the basis for the study of yarn formation, which can demonstrate the evolving of yarn structure and properties and help to attain high productivity and to improve yarn properties. In the first part of this study, two general equations are derived, of which the kinematic equation describes how yarn rotation is related to twist distribution in the twisting zone, and the kinetic equation gives the relationship between the kinematic paramenters and the external torques acting on the twisting yarn. When combined, these two equations can illustrate the propagation of twist in a travelling yarn.