A controller may associate package diameter with a commanded traverse stroke. This calculator evaluates one simple clamped linear stroke schedule between entered endpoints.
Variable Traverse Silk Machine Interactive Calculator
Enter endpoint strokes, current package diameter and design full diameter. Results describe an ideal linear command schedule—not yarn lay, winding ratio, package density or a traverse mechanism.
Equation Used
- Dfull is positive and entered package-diameter progress is clamped from zero to one.
- Stroke varies linearly between the two entered endpoints.
- The animation uses a sinusoidal display phase only; traverse frequency is not calculated.
- Winding ratio, yarn speed, crossing angle, ribboning, tension, density, package shape, guide dynamics, force, wear and safety are omitted.
Ideal Diameter-Indexed Stroke Schedule
Yarn-winding patents show that real traverse control can associate package diameter with a stroke function, while also considering winding ratio, reversal points and package formation. This calculator implements only the explicit clamped linear interpolation below.
What This Calculator Represents
The tool converts entered package diameter to a clamped progress fraction, interpolates between two entered stroke endpoints and reports the signed difference, constant reduction rate and percentage of the first endpoint.
Linear Stroke-schedule Calculation
S=Sbare-(Sbare-Sfull)u
signed cut=Sbare-S
signed rate=(Sbare-Sfull)/Dfull
ratio=100S/Sbare
This is a command schedule only, not a winding-process model.
Worked Idealized Example
For endpoint strokes 80 mm and 60 mm, current diameter 200 mm and design full diameter 200 mm, progress is 100%, scheduled stroke is 60 mm, signed cut is 20 mm, signed reduction rate is 0.100 mm/mm and the stroke is 75% of the bare endpoint.
Model Boundary
- Calculated: clamped linear diameter progress, interpolated stroke, signed difference, constant reduction rate and endpoint percentage.
- Illustrated: a guide moving across the calculated full stroke.
- Not calculated: winding ratio, traverse speed, yarn crossing angle, ribboning, tension, density, package shoulders, drive linkage, force, wear, capacity or safety.
Frequently Asked Questions
Does this predict yarn lay or ribboning?
No.
Does it calculate traverse speed?
No.
Why is diameter progress clamped?
Values below zero use the first endpoint and values above design full diameter use the second endpoint.
Can stroke increase with diameter?
Yes; enter a larger full-end stroke and the signed difference and reduction rate become negative.
Does it design a guide drive?
No.
Can it establish winding quality or safe capacity?
No.
References
- EP 1 175 364 B1: a winding controller associates instantaneous package diameter with a predetermined traverse-stroke function.
- EP 0 248 406 B1: yarn traverse apparatus considers package diameter, winding ratio, traverse stroke and ribbon regions.
- U.S. Patent 7,163,174: traverse-stroke variation follows a predetermined modification function for package formation.
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