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Mathematical Modeling of Yarn Dynamics in a Generalized Twisting System

机译:广义加捻系统中纱线动力学的数学建模

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摘要

Twisting is an important process to form a continuous yarn from short fibres and to determine the structure and properties of the resultant yarn. This paper proposes a new theoretical model of yarn dynamics in a generalized twisting system, which deals with two important phenomena simultaneously, that is, twist generation and twist propagation. Equations of yarn motion are established and the boundary value problems are numerically solved by Newton-Raphson method. The simulation results are validated by experiments and a good agreement has been demonstrated for the system with a moving rigid cylinder as the twisting element. For the first time, influences of several parameters on the twisting process have been revealed in terms of twist efficiency of the moving rigid cylinder, propagation coefficients of twist trapping and congestion. It was found that the wrap angle and yarn tension have large influence on the twisting process, and the yarn torsional rigidity varies with the twisting parameters.
机译:加捻是从短纤维形成连续纱线并确定所得纱线的结构和性能的重要过程。本文提出了一种新的广义加捻系统中纱线动力学的理论模型,该模型同时处理了两个重要现象,即加捻的产生和加捻的传播。建立了纱线运动方程,并通过牛顿-拉夫森方法数值求解了边值问题。通过实验验证了仿真结果,并证明了以移动的刚性圆柱体为扭曲元件的系统的良好一致性。第一次,从移动刚性圆柱体的扭曲效率,扭曲捕获和拥塞的传播系数方面揭示了几个参数对扭曲过程的影响。结果表明,包角和纱线张力对加捻过程影响较大,纱线的扭转刚度随加捻参数的变化而变化。

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