A method for the design of general analytical noncircular multi-lobe internal pitch pairs is presented. The method is based on a reshaping algorithm. A selected monotonic function can be assigned as the initial profile for the outer rotor of the designed pitch pair. This initial function will then be reshaped to satisfy that the number of lobes must be an integer. This final pitch function can then be obtained analytically. To archive smooth profile design, the C1 continuous conditions on pitch rotors are established. A dimensionless parameter geometrically interpreted as the noncircularity of pitch rotor is introduced for the systematic design of pitch pairs. Results from this research have applications to the design of noncircular gears.

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