A theoretical description of the winding path of yarn on a warp-wind ring and traveler package with a tilted ring is derived. Amplitude and maximum helix angle of the periodic motion of the winding point are given in terms of ring tilt, ring diameter, yarn speed, spindle speed, and instantaneous bobbin diameter.
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References
1.
EfremovE. D., A Differential Equation of Motion for the Winding Point, Tech. of Textile Industry, U.S.S.R., No. 2, 91–96 (1960).
2.
EfremovE. D., Movement of the Winding Point Along the Generator of a Cylindrical Bobbin, Tech. of Textile Industry, U.S.S.R., No. 3, 90–102 (1962).
