Warping and beam-winding machines align many yarns into a sheet and wind that sheet onto a beam. As effective winding diameter grows, beam rpm must fall to preserve the same surface speed.
Warp-dressing Machine Interactive Calculator
Enter target warp-sheet speed and empty/full effective beam diameters. Results are ideal no-slip endpoint conversions—not a diameter-build profile, tension controller, drive sizing or dressing-process model.
Equation Used
- Target linear speed is constant and shared by both endpoint calculations.
- Effective empty and full winding diameters are entered.
- Surface speed equals circumference times rpm with no slip.
- The full diameter used is at least the empty diameter.
- Yarn count/diameter, packing, compression, traverse, tension, inertia, acceleration, braking, drive torque/power, sizing chemistry, drying, moisture, guides, breaks, controls and quality are omitted.
Warp-Sheet Beam Winding
U.S. Patent 7,017,244 describes a beam winder/warping machine that aligns many yarns in a planar sheet and winds them onto a beam. U.S. Patent 2,674,778 describes tension and braking changing during beam winding. These sources show why a two-diameter speed conversion is only one small part of the machine.
What This Calculator Represents
The tool converts entered empty and full diameters to circumference and calculates the no-slip rpm needed at each endpoint for one target sheet speed.
Two-Endpoint Surface-Speed Schedule
rpm=v/(pi D)
Diameter is entered; winding build and intermediate control are not predicted.
Worked Endpoint Example
For 600 m/min, D0=200 mm and D1=800 mm, circumferences are 0.63 and 2.51 m/rev, giving ideal endpoint speeds of 955 and 239 rpm.
Assumptions and Limits
- Calculated: two circumferences and two ideal no-slip rpm values.
- Illustrated: empty and full beam endpoints with a warp sheet.
- Not calculated: winding build, tension, torque, power, acceleration, braking, sizing, drying, controls or quality.
Frequently Asked Questions
Are intermediate rpm values calculated?
No.
Is full diameter predicted from yarn length?
No; it is entered.
Are yarn tension and slip included?
No.
Does this size a motor or brake?
No.
Are dressing chemistry and drying included?
No.
Can this commission a warping machine?
No.
References
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