It is the intent of this presentation to determine all rigid-body positions of two conical involutes that mesh together, with no backlash. That information then serves to provide a simple, general approach in arriving at two key setting parameters for a hobbing machine when cutting a conical (beveloid) gear. A numerical example will show application of the presented results in a case study scenario. Conical involute gears are commonly seen in gearboxes for medium-size marine applications - onboard engines with horizontal crankshafts and slightly sloped propeller axes - and in automatic packaging applications to connect shafts with concurrent axes whenever the angle between these axes is very small (a few degrees).
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