Abstract
In this paper, firstly, the common equation of involute gear profile was derived with the slotting tool, based on the principle of Envelope Method & Coordinate Transform. Secondly, different equqtions of the involute and transition curve were solved with different gear profiles of slotting tool through some mathmatical substitution. Finally, the model of gear profile equation was bulit with the software Pro/E. After verification, it proved that all derived equations, which can be used to establish the accurate 3D model of gear, are correct.
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