Quote:
Originally Posted by TheOtherGuy
I found the cross section of two ellipses of vertical radius equal to the radius of the wheel and a horizontal radius of the wheel radius * sqrt(2).
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The correct profile is actually closer to a parabola than an ellipse. If you're a purist, you might find these of interest:
roller profile parabola vs ellipse comparison:
http://www.chiefdelphi.com/media/papers/download/2750
parabolic profile roller projection to XY plane forms circular arc :
http://www.chiefdelphi.com/media/papers/download/2751
Equations for "bump-free" mecanum roller profile:
http://www.chiefdelphi.com/media/papers/download/2749
Win32 "bump-free" mecanum roller profile calculator:
http://www.chiefdelphi.com/media/papers/download/2770
bump-free mecanum roller equations (alternate derivation):
http://www.chiefdelphi.com/media/papers/download/2777