竹节纱横截面应力的有限元分析

Study on Stress of Cross-Section of Slub Yarn by Finite Element Method

在建立竹节纱线横截面受力数学模型的基础上,根据内力平衡条件,对竹节纱轴向上任意截取的一个横截面的应力情况进行理论分析、计算,得到了极坐标下竹节纱弹性体内应力平衡微分方程以及纤维位移与应变微分方程组;以基纱号数48.6 tex、体积质量0.75 g/cm3精梳棉纱为讨论对象,通过有限元分析软件ANSYS10.0,模拟加捻时纤维转移所引起的应力变化情况,理论上解释竹节纱加捻时应力的变化规律;采用有限元法,并结合计算机模拟,从理论角度证明了纤维在不同层的位移产生的应变由外向内递减的结论。

Targeting at establishing a mathematical model on the relations between the fiber displacement and strain in the twisting processing,a cross-section was intercepted at random.Based on differential method,the plane stress was analysed mathematically,and the stress and strain balance equations of yarn cross-section were obtained.Based on finite element analysis software ANSYS10.0 the geometry model of yarn cross-section was developed.The simulated displacement changes can intuitively reflect the relationship between the displacement and stress by computer.Using finite element analysis software ANSYS10.0,the geometric model of cross-section of slub yarn was built.The model was used to simulate the twisting stress when the fibers transfer in yarn.From a theoretical view,the paper explains the variation of twisting stress.It has been shown that the strain resulting from displacement of fibers decreases from the outer layer to the inner based on finite element method.