The generating of two spiral bevel gears by the plane-top generating wheel with essentially different parameters of the head-cutter installation and motion is considered. For this case the necessary and sufficient conditions providing coincidence of normal vectors and surface curvatures in the designed point are presented as the vector equations system. The relations among blade pressure angle, head-cutter radius, radial distance, tool installation angle, machine centre to back, blank offset and velocity ratio are obtained. The developed methods make the opportunity to design equivalent machine-tool settings, to extend manufacturing possibilities of gear-cutting machines and to raise the load rating of the gear drive.

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