A traverse ratio can be compared with an integer as a simple proximity check. This calculator reports that distance for two entered ratios.
Variable Traverse Silk Machine Guide-bar Interactive Calculator
Enter two ratios in spindle revolutions per guide stroke. Results report each value and its absolute distance from the nearest integer—not ribboning probability, yarn lay or machine performance.
Equation Used
- Each entered value is treated as spindle revolutions per one guide stroke.
- The nearest integer is selected with ordinary rounding and distance is nonnegative.
- The two cases are independent and are not classified as safe or unsafe.
- Spindle speed, guide speed, yarn width, crossing angle, ribbon duration, tension, package geometry, drive dynamics and safety are omitted.
Nearest-Integer Ratio Check
Yarn-winding patents treat winding ratio, traverse stroke, package diameter and ribbon regions as parts of a larger control problem. This calculator performs only the nearest-integer arithmetic stated below.
What This Calculator Represents
The tool rounds each entered traverse ratio to its nearest integer and reports the absolute difference. It does not determine whether a winding process will form ribbons.
Ratio-proximity Calculation
nB=round(RtB); distanceB=abs(RtB-nB)
All values use revolutions per guide stroke.
Worked Arithmetic Example
For RtA=6.00, the nearest integer is 6 and distance is 0.00. For RtB=5.87, the nearest integer is 6 and distance is 0.13 rev/stroke.
Model Boundary
- Calculated: two nearest integers and two absolute arithmetic distances.
- Illustrated: spindle phase markers over one normalized guide stroke.
- Not calculated: ribboning probability or duration, yarn lay, crossing angle, winding speed, tension, package density, guide-bar geometry, drive design, wear, capacity or safety.
Frequently Asked Questions
Does zero distance prove ribboning?
No; it only means the entered ratio is an integer.
Does a larger distance prove safe winding?
No.
Does the calculator use spindle or guide speed?
No.
Does it calculate crossing angle?
No.
Does it model a guide bar?
No.
Can it establish machine settings?
No; use validated process and equipment guidance.
References
- EP 0 248 406 B1: yarn traverse control considers winding ratio, traverse stroke, package diameter and ribbon occurrence regions.
- U.S. Patent 6,027,060: traverse-speed and winding-ratio behavior are evaluated against package diameter.
- U.S. Patent 7,163,174: package formation uses a predetermined traverse-stroke modification function.
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