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EN
The method of “in-plane generating trajectories” is a method designed to study the enveloping profiles associated with a pair of rolling centrodes. This method assumes knowledge the analytical form of the in-planes trajectories described by the points onto the profiles to be generated. These trajectories are known in the reference system of the generating tool, which may be a rack-gear, a gear-shaped or a rotary cutter tool. The envelope of these trajectories represents the profile of the generating tool. An original method for determining the enveloping condition is presented in this paper. Application for ordered curling of non-involute profiles were developed based on the specific enveloping condition. A new solution is proposed. This solution uses the capabilities of the CATIA graphical environment. Graphical solutions are proposed versus analytical solutions in order to validate the proposed method.
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