Abstract

Conjugate-curve gears are point contact gears and the locus curves of contact points are conjugate curves. For conjugate-curve gear drive, the application of rack cutters may result in geometrical deviation between the theoretical tooth profiles and the generated tooth profiles. To discuss the deviation conditions between two tooth surfaces, generation of theoretical tooth profiles is described and the tooth profiles generated by the rack cutters are derived. General calculation method for the deviation is provided and the analysis of tooth surfaces is also carried out. Numerical examples utilizing the circular-arc curve and parabolic curve are performed, respectively. The obtained results are discussed and the influences of design parameters including the design parameter, helix angle and the radius of pitch circle on the deviation are shown. The summarized contents of this paper are finally present.

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