Outgoing dynamic force: taper roll between flanges

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AdeJS
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Maybe I've asked this before but I can't find the topic any more.

I'm looking for a way to calculate the outgoing force of a taper roll between two spinning flanges.

Staticly this is not so difficult by using the force of the flanges clamping the taper roll and the roll angle.

When the flences start to turn in opposite direction this dynamic situation gets al lot more difficult. Beside the static outgoing force also a forces is created by the corkscrew movement created by the flanges and the roll angle. This force depends on the angle and the rev's the flanges make. so far this is what I have.

I will probably be not an easy calculation, but should be possible I would think.

how to calculate the pitch and it's generated force
 

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