A traverse mechanism moves a guide laterally as material is wound. This calculator compares an entered traverse advance per turn with an entered material diameter; it does not model a winding process.
Traverse Motion Interactive Calculator
Enter material diameter, traverse pitch per turn and a selected percentage comparison band. Outputs describe only the dimensional difference and its normalization.
Equation Used
- All entered dimensions use the same units.
- Material diameter is treated only as a reference pitch.
- Pitch is the entered guide advance per spool turn.
- The selected comparison band is not an engineering tolerance or quality limit.
- Drum geometry, layer growth, material deformation, tension, fleet angle, slip and packing are omitted.
Guide Motion During Winding
A traverse guide moves laterally while a spool or drum rotates. Depending on mechanism design, guide advance can be generated by gearing, a lead screw, a reversing groove, a cam or controlled actuation.
U.S. Patent 6,830,209 describes one example: a level-wind guide with a pawl engaging a continuous helical groove that reverses direction.
What This Calculator Represents
The tool uses entered material diameter as a reference pitch and subtracts it from entered traverse pitch. It reports the signed difference, that difference relative to diameter, and its magnitude relative to an entered comparison band.
The signed difference is a length per turn; the relative difference and band ratio are dimensionless percentages. These comparisons do not establish the pitch required by a real winding system.
Pitch-to-Diameter Comparison
signed pitch difference = P - d
relative pitch difference = 100(P-d)/d
magnitude/band ratio = 100|relative difference|/B
P and d are millimetres per turn and millimetres respectively. B is an entered percentage comparison band. Positive difference means P exceeds d; negative difference means P is smaller.
Worked Dimension Example
For d=1.00 mm and P=1.00 mm/turn, the signed and relative differences are zero. With P=1.03 mm/turn, the signed difference is +0.03 mm/turn and the relative difference is +3%. Against an entered 3% comparison band, the magnitude/band ratio is 100%.
Model Boundary
- Calculated: direct pitch-minus-diameter and normalized ratios.
- User-selected: material diameter, traverse pitch and comparison band.
- Not calculated: winding pitch requirement, gaps, overlap, layer packing, drum speed, guide timing, crossover geometry, acceleration, tension, deformation, crushing, capacity, defects, tolerances or safe operating settings.
Frequently Asked Questions
Is material diameter always the required traverse pitch?
No. It is only the reference used by this comparison.
Does positive relative difference prove gaps?
No.
Does negative relative difference prove overlap?
No.
Is the selected band an allowable tolerance?
No. It is a user-entered normalization value.
Does a 100% band ratio mean failure?
No. It means only that the difference magnitude equals the entered band.
Can this tool set up production winding equipment?
No.
References
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