Abstract
This paper proposes a new type of rack-cutter can generates the circular and noncircular conjugate tooth profiles. Based on the envelope theory and coordinate transformation method, the mathematical and geometric models for the conforming rotors design are proposed. A selected smooth continuous curve equation can be assigned as the initial profile for the rack-cutter. Results from this research can be successfully applied to different kinds of tooth profile design of gerotor pumps and rotary machines.
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