织造过程中经纱振动特性的分析

Analyzing the vibrating characteristics of warp yarns during weaving

采用非线性振动方法分析经纱运动的波动过程,对织造过程中的经纱黏弹性本构关系选用Kelvin模型,根据牛顿定律建立经纱横向与纵向的振动微分方程。运用分离变量法,分离时间和空间变量,并利用Galerkin方法离散运动方程,讨论过渡曲线的稳定区变化趋势,同时,采用四阶龙格库塔方法,得到运动方程的数值解,并讨论纱线材料特性与各种参数对横向运动纱线的影响趋势,给出控制经纱振动的指导方法。

This paper adopts nonlinear vibration method to analyze the fluctuation process of warp yarn during weaving and Kelvin model to analyze the constitutive relation of its visco elasticity. A differential equation of warp yarn vibration in lengthwise and crosswise is established based on Newton law. Using variable-separating methocl, it separates time variable from space variable, and Galerkin equation of discrete motion is used in discussion on the change trend of stable zone of the transition curve. And the numerical solution of the equation of motion is obtained using 4-order Runge-Kutta method. Furthermore, the effect of material properties of warp yarn and various parameters on the crosswise motion of the yarn is investigated, and the method to control the vibration of warp yarn is given.