Geometric synthesis of face helicoids

Abstract eng:
The basic problem of analytical and computer design of the spatial gears is the synthesis of their tooth surfaces. The technology of many gear pairs manufacture is based on the second Olivier´s principle. It means that one of the gear of the gear pair is generated by a tool, which is a counterpart of the other gear. For this reason we are exclusively interested in the synthesis of the active flanks of the first gear (the tool). This study is dedicated to the synthesis of face helicoids of convolute, involute and Archimedean type. These helical surfaces could be used as active flanks of the threads of flat worm and flat hob, respectively.

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