Raising Drum Kinematics & Pile Action Balance

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

How the result is derived

Step by step, from the values you type to the figure on screen.

1. The 8 inputs are read from the form on every keystroke: Cylinder Diameter, Cylinder Speed, Fabric Speed, Fabric Wrap Angle, Roller Diameter, Pile Roller Speed, Counter-Pile Roller Speed and Passes.
2. Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
3. The validated values are substituted into the expression above, which resolves Pile Slip Speed together with every supporting figure in one pass — no value is carried over from a previous entry.
4. The supporting outputs — Cylinder Surface Speed, Carrier Slip, Pile Roller Peripheral Speed, Counter-Pile Peripheral Speed, Counter-Pile Slip Speed, Pile to Counter-Pile Balance, Contact Arc Length, Time in Contact, Relative Travel per Pass, Relative Travel, All Passes and Throughput — come from the same pass, so they always describe the same case as the headline figure.
5. Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.

What each input means

Where to read each value on the floor, the unit it must be in, and the range the tool accepts.

What the tool returns

The headline figure and every supporting value it is built from.

Worked example

The tool loads with this case already solved — the Pile Slip Speed shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.

How to use it

1. Work through the input groups in order — Cylinder & Cloth and Rollers. The defaults are a realistic case, so you can change one value at a time and watch what moves.
2. There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
3. Read Pile Slip Speed in the dark results panel — that is the headline figure, expressed in m/min.
4. Check the supporting rows underneath (Cylinder Surface Speed, Carrier Slip, Pile Roller Peripheral Speed, Counter-Pile Peripheral Speed, Counter-Pile Slip Speed, Pile to Counter-Pile Balance, Contact Arc Length, Time in Contact, Relative Travel per Pass, Relative Travel, All Passes and Throughput) before acting on the headline — they are where an implausible input usually shows itself first.
5. Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.

Where this is used

• Process planning — establishing Pile Slip Speed before a trial is booked, so machine time and material in Finishing, Coating, Lamination & Functional Performance are committed against a calculated figure rather than an estimate.
• Costing and quotation — Pile Slip Speed is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
• Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Cylinder Diameter) shows how much of the gap in Pile Slip Speed each variable explains.
• Teaching and study — the accepted ranges bracket normal Finishing, Coating, Lamination & Functional Performance practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

• This is kinematics and nothing else: it says how far the wire travels over the cloth, not what that travel does to it, which depends on wire specification, point angle, working depth, fibre type and moisture in ways no closed form captures. Two machines with identical slip speeds and different wire will not produce the same hand. Fabric speed is taken as the delivery-roller setting, which assumes the cloth does not slide on the cylinder; that holds while tension is adequate and fails exactly when a light fabric is run too slack, and a cloth slipping on the cylinder is raising itself unevenly along its length rather than uniformly. The counter-pile figure is reported as a signed slip so its direction is visible: a positive counter-pile slip means the roller is not opposing the cloth at all and both sets are raising, which is a legitimate aggressive setting and not the balanced action the name implies. Relative travel accumulates across passes as a first approximation only, since each pass presents an already-raised surface to the wire and removes less than the one before.
• Every input is bounded to the range normal practice occupies (Cylinder Diameter 0.3 to 3 m, Cylinder Speed 1 to 200 rpm and Fabric Speed 1 to 120 m/min, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
• The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
• Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.

Questions people ask