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Member

Join Date: Oct 2007
Location: BANGALORE,INDIA
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To calculate rolled outer diameter

11/13/2007 10:35 PM

Hi All,

Can any body help me in one calculation.

I need to roll a film thickness of .025mm onto a plastic core OD of 75 mm.

What will be the wound OD after rolling 30mtrs?

I have mounted this roll on the driver, from there it will be rolled onto the another empty plastic core with a constant feed of 2 mtr/min.

One more question:

How the driver speed can be varied to maintain this constant feed rate as the driver OD keep on decreasing

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#1

Re: To calculate rolled outer diameter

11/13/2007 11:18 PM

L * d = pi(Rmax2-Rmin2) where:

L = length on roll

d = film thickness

pi = 3.14.....

Rmax = Rolled radius

Rmin = Core radius

(watch units!)

so: 30,000 * 0.025 = 3.14(Rmax2 - 1406.25) => Rmax = 40.56

Rolled diameter = 81.12mm (I actually got 81.21 by another method, but that should get you in the ballpark.)

As for keeping the linear tape speed constant, I'm not sure how tape feeds accomplish this currently. One method that comes to mind would be an idler roller that rides on one roll or the other that is connected to a lever that controls a potentiometer on the motor. Slightly crude, but a start. Perhaps someone else has a better idea.

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#2
In reply to #1

Re: To calculate rolled outer diameter

11/13/2007 11:30 PM

Hi

Thank you CSM Engineer.

Greatful to you getting needy info.

Regards

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#3
In reply to #2

Re: To calculate rolled outer diameter

11/13/2007 11:40 PM

You are most welcome. If you are interested, what you're doing is calculating the length of an Archimedes Spiral. The formula I gave you is an approximation to use when your material thickness is much, much less than your roll diameters. There is a calculus formula to calculate exactly. For more information, you can look here.

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#4
In reply to #1

Re: To calculate rolled outer diameter

11/15/2007 7:32 AM

What CSM is describing for controlling speed is called a dancer and although crude, it is still the most common method for film tension control. Your idler roller mounted on the pivot arm can be counter balanced and then tension applied with an air cylinder as well.

Another option instead of the potentiometer is to use an off centre cam on the lever's pivot and then use a proximity sensor.

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#5
In reply to #4

Re: To calculate rolled outer diameter

11/15/2007 11:12 AM

Thanks, Poison. I thought I had seen this system in use before, but had no idea what it was called. It's good to still be learning new things.

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#6

Re: To calculate rolled outer diameter

11/16/2007 10:21 PM

There is another simple system - to use spring loaded disc clutch.Film tension is maintained by machine operator adjusting clutch spring tension.

Ratnagiri

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#7
In reply to #6

Re: To calculate rolled outer diameter

11/16/2007 10:26 PM

That works for film tension control, but how do you automatically maintain a constant linear film speed as the feed and take-up roll diameters change?

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#8

Re: To calculate rolled outer diameter

11/17/2007 10:35 PM

A good way (probably not the best) to control the film feed speed would be to remove the drive from the feed roll and instead drive a pinch roller applied against the feed roll to drive the film at a constant speed.

Then you can mount a small (relatively cheap) shaft-end-encoder on the feed roll shaft to be used as a speed feedback to a motor controller used to drive the take-up roll. So when the feed roll speeds up as film is removed the take-up roll will reduce speed inversely as the roll size changes thus maintaining a constant speed.

Just an idea. Hope this helps.

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