Abstract
This chapter presents a general mathematical model for the investigation of hobs suitable for generating cylindrical and conical worms, worm gears, and face gear generators. By bringing together the models that are developed for the investigation of cylindrical helicoidal surfaces and the tools that are prepared for the investigation of conical helicoidal surfaces, a general kinematic model can be obtained. The general kinematic mathematical model for analyzing hobs suitable for generating cylindrical and conical worms and worm gears and face gear generators can be used for the investigation of meshing for both conical and cylindrical helicoidal surfaces. The chapter also presents a block diagram to determine geometric data of a generator milling cutter for worm gear.
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