relation between speed and tension

[a151218]

I want to know about relation between speed and tension.If there are two roller on the machine and there are all speed control.

The function of rollers does to carry the material. So I need control the tension avoid to break the material.In order to build the tension,

the first roller speed have to slower than the second roller.I want to know the different of the rollers speed that can build how many tension?

I know that it can control tension use PID function.But I just want to know relation between the different of the rollers speed and tension and the

formula.please help!!

 

The data See the following drawing.

[imatfaal]

There must be slippage or skidding - so you will need to specify coefficients of friction (actually you would need to anyway). Either the speed of the material matches the tangential velocity of both rollers and it breaks- or it is faster than the LH roller or slower than the RH roller. As you are saying that it mustn't break then one or both of the rollers has a tangential velocity different from the velocity of the material.

 

Your density is practically impossible (it's orders of magnitude less than Helium). I think in fact it is another quantity entirely as the units are incorrect - you need kg/m^3.

 

 

The width of that stuff is pretty impressive - almost a metre! Running through rollers at a high speed - either those rollers on the diagram are huge or your diagram is a bit dodgy. Or is it width in the dimension into the paper?

[J.C.MacSwell]

unless there is skidding or slipping as imatfaal suggests the material is being stretched by almost 10%. If that is in the elastic range for the material the tension is can be calculated if the coefficient of elasticity is known, but if the material is being drawn or squeezed permanently at one or both sets of rollers then the tension is indeterminate...it would depend on how much of the stretching is permanent, the normal forces at the rollers and properties in the plastic range as well.