The area I find troubling is that if the printing units synchronize their repeat length with minute speed variations between the units, wouldn't any speed changes primarily be used to synchronize the basic timing between units and secondarily be used to alter the print length?
In my mind, synchronizing all the units to some reference point on the cutoff makes great sense. However, lets say that retarding the Magenta unit slightly, just for example, in order to increase it's print length, somehow bothers my sensibilities.
Maybe it's just me and my sheet-fed way of thinking, but wouldn't setting the plate and blanket packings be something that a pressman would define firstly in order to minimize web tensions between units job to job, day to day? And secondarily introduce any speed differences between the units to handle print length as needed?
otherthoughts
It is a bit difficult to picture what happens and providing the mathematical description will tend to make things more confusing. Fortunately there are simpler ways to look at the problem and I will try to answer your questions in that way.
First let me clarify some terms or comments so we are discussing the same thing.
There is a difference in the rotational speed of a print unit, the effective surface speed of the blanket and the speed of the web.
Basically in all presses, each print unit is synchronized to have the exact same rotational speed. This is done via gears or a drive shaft or servo motor drives, etc. This has to be true because if one unit was rotating faster than the others, its print would advance while the other didn't. So for register accuracy the units must have the exact same rotational speed and be positioned angularly so the print is in register.
The web going through the units does not have to go the same speed. The units do not have to have the blankets have the same effective diameter. The effective diameter of the blanket cylinder is its diameter, which can be measured with a blanket gauge relative to the bearer plus the minor affect of squeeze and web tension difference before and after the blanket nip. The blanket diameter can be changed by adding or subtracting packing. From the tests I have done, increasing the squeeze increased the effective diameter up to a point, and then it can drop off and make the effective diameter decrease. The difference in web tension before and after the blanket nip can increase the effective diameter if the tension difference is positive, ie higher tension after the nip or decrease the effective diameter if the tension difference is negative where the tension after the nip is lower than before it.
The amount the squeeze and the tension difference have on changing the effective diameter is very much related to the blanket type. Some blankets will show a larger effect than others to these variables and that is one reason why it is not a good idea to mix blanket types in a press.
The effective diameter is the mathematical values that is used to calculate the effective surface speed of the blanket with respect to the web. It is used to model how the blanket actually performs with respect to how fast it is pulling the web into the nip. The effective diameter times the rotational speed is then the effective speed of the blanket surface acting on the web.
An important thing to understand is that even though the operator sets the press up as well as they can, due to minor differences in blanket properties, blanket diameter, squeeze, etc. all print units will have slightly different effective diameters. This is normal.
So the picture is: We have a web press running a web that enters the first print unit at some infeed web tension value.
If we for the moment forget about the affect of water absorption in the web we can say:
At a nice steady state condition, the web will increase or decrease in web tension as it goes through the press depending upon the effective diameters of each unit. If one unit has a larger than average effective diameter, it will pull the web faster and the tension will increase before that unit and decrease after that unit. When the web tension between units increases there is also an increase in web speed.
So here is this press running the web at a nice steady state condition and the web tension levels between each unit can be different but are steady.
This sounds very complicated because there are changes in web tension and changes in web speed but the simplicity of this is that they all balance out. This will be true even if the moisture of the paper changes, which will change its elasticity and even its final length.
We can now look at this from the very simple perspective.
You have a press that prints 1000 meters of paper. All print units turn the exact same number of revolutions. Therefore, all units MUST print the same print repeat. They have no choice.
Therefore, your question about retarding the Magenta print unit will have no affect on print repeat or print length. Print length is a ratio or percentage of the print repeat length and it is determined by its percentage of the plate circumference. I define print length as a distance between any two points in the machine direction, in an image which is within the same print repeat but it is relative to the repeat length. Print repeat, I define as the distance measured at zero tension, say on a table, from one point in the image to the same point in the image in the next repeat, in the machine direction.
On a web press, if one wants to change the print repeat and therefore change directly measured print length, this can be done in a number of ways. Change the blanket type. Change the packing to change the blanket diameter or change the infeed tension. Changing the infeed tension is the easiest to do. Increasing the infeed tension will result in a shorter print repeat and therefore a shorter print length. Lowering the web tension will increase the print repeat and therefore the print length.
The conditions you set up the first unit to will result in a print repeat that all the other units must follow. Changing the infeed tension into the first unit will change the print repeat for all units but when this is done, the register will have to be adjusted because the images position in a the press changes slightly and the following units will need to follow that movement. That is what register controls do so well.
I hope this help you understand what I was trying to say.