A-36 overcut interference in internal gears

J.W. Polder

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    Abstract

    Overcut means tip interference of a pinion and an internal gear outside the line of action. Until 1969, the phenomenon was described by an involute theory with fixed centre distance, either kinematically [1. ..6] or geometrically [8]. The cutting process was neglected or confused with radial assembly. Inspired by a partly correct comment in [4], the mystery of tip interference [9] was solved by a study of interference at changing centre distance [10, 11]. Now, the theory includes the cutting process when the cutter moves in an arbitrary direction (oblique retraction). A reference centre distance defines a cycloidal tip curve, whilst a conjugate centre distance defines the generated involute that recovers the excavation of the reference cycloid. The conjugation of centre distances provides an effective mathematical tool, which is developed into easy computation procedures.
    Original languageEnglish
    Title of host publicationInternational symposium on gearing and power transmissions, Japan, August 30–September 3, 1981, Tokyo
    Pages205-210
    Publication statusPublished - 1981

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