One of my college lecturers giving the Theory of Machines course had some very large Perspex gears segments – just a few teeth but accurately profiled . Watching the interaction of pairs of these gear segments at a size big enough to see what was going on was very instructive indeed .
He had examples of involute gears of different pressure angles and also cycloidal , lobal and conformal gears .
Apart from just seeing how the teeth interacted it was possible to see how the gear meshing action varied with depth of engagement errors .
Anyone that thinks a gear is a gear and they all work the same way would be astonished if they tried a similar experiment for themselves .
Two further things that the lecturer pointed out by a simple additional demonstration with a segment of a disk of Perspex were that in the local zone of contact of the various types of gear teeth they all had more or less the same curvature and that it was the local flank angle of the gear teeth that made the meshing gears different in action and more/less sensitive to depthing errors .
Further note :
Exact cycloidal gears or gear cutters can be generated using the actual properties of a cycloid – one planetary gear meshing a fixed gear and with the planetary gear carrying a cutter . However the arc approximation commonly used is so close to the ideal that it will serve for most practical purposes .
Michael Williams
Edited By MICHAEL WILLIAMS on 28/03/2012 11:37:50