The yarn winding process is an important part of the textile process and has a wide range of applica-tions 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 mathe-matical software,the motion state of the winding air loop is visualized.The shape of the winding air loop under dif-ferent 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
Key words
yarn winding problem/mathematical software/Fourier series method/the impulse theorem method
维普
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