I think you should consider building a simple test slide, with guides, ball 
screw, servo, and a simple timing belt and pulley reduction.
That way you can try different reduction ratios and encoder resolutions and 
measure the speeds you can get and how smooth the motion is.

I think you will find out the timing belt and a moderate reduction around 
40 or 50 to 1 with a servo encoder in the (2500 to 5000) line count range 
will get you what you what you need.

5TPI * 50-1 * 5000 lines * 4quad = 5000000 counts per inch
Or 0.0000002 inches per count

Which at 0.00025IPM would be 1250 counts per minute or ~20 counts per second.


One cheap way to get an idea of the motion smoothness would be a laser 
pointer swinging on a knife edge pivot and a lever arm hanging down that is 
being pushed by the slide.  All setup on a good sized surface plate.
Then just watch the spot on a wall 50 feet away.






__________
Andre' B.  Clear Lake, Wi.



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