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thanks, using that i updated my mechanum wheels.
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If you're changing the rollers and looking for a quick and easy way to shape your rollers so that they form a perfect circular outline when mounted at 45 degrees, there's a simple calculator program at this link:
http://www.chiefdelphi.com/media/papers/2390
Just enter the desired wheel radius and the radius of the roller at its midpoint, and you'll get an output file (in CSV format) of X,Y data pairs that you can load into your CAD program and rotate around the x-axis to form the surface of the roller. CSV files can be opened directly in Excel, or you can open with any text editor.
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i don't think overlap is good, i think that what is ideal is an infinitesimal amount of overlap. just as when you slide to pieces of tile together with no overlap for a smooth surface, a smooth ride must have no overlap, but no gap either.
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If you don't want the rollers to overlap that's fine, but the analogy is a little off. If two pieces of tile overlap that creates a bump. If the rollers "overlap" there is no bump. Just a seamless transition period during which two rollers are touching the floor. If the rollers are contoured properly, this handoff from one roller to the next is smooth.