络纱问题理论研究及可视化  

Theoretical research and visualization of the yarn winding problem

作　　者：陈苗 郭琴[1] CHEN Miao;GUO Qin(College of Physics and Communication Electronics,Jiangxi Normal University,Nanchang,Jiangxi 330022,China)

机构地区：[1]江西师范大学物理与通信电子学院,江西南昌330022

出　　处：《大学物理》2024年第4期65-68,80,共5页College Physics

基　　金：江西省高校教学改革重点项目(JXJG-20-2-11)资助。

摘　　要：络纱过程是纺织工艺的重要环节,在轻工业手工业中有着广泛的应用.本文将络纱过程简化为弦振动过程,分别采用傅里叶级数法和冲量定理法对络纱问题的定解问题进行求解,进而得到络纱气圈振动解,并从能量角度解释络纱气圈为驻波的原因.借助数学软件将络纱气圈的运动状态进行了可视化,探究了不同振动波速和退绕角速度下的络纱气圈形态,得到一些有趣的结论.The yarn winding process is an important part of the textile process and has a wide range of applications in the light industry and handicraft industry.In this paper,the yarn winding process is simplified as a string vibration process.The Fourier series method and the impulse theorem method are used to solve the fixed solution problem of the yarn winding problem,and then the vibration solution of the winding air loop is obtained.From the perspective of energy,the reason why the winding air loop is a standing wave is explained.With the aid of mathematical software,the motion state of the winding air loop is visualized.The shape of the winding air loop under different vibration wave velocities and unwinding angular velocities is investigated,and some interesting conclusions are obtained.

关 键 词：络纱问题 数学软件 傅里叶级数法 冲量定理法 

分 类 号：O411.1[理学—理论物理]