Abstract
This paper studies the computerized tooth profile generation of involute gears cut with rack-type cutters. Based on the theory of gearing the mathematical models of generating cutter with asymmetric involute teeth and generated involute gears are given. Beveloid (conical involute) gears are considered for a generalized type of involute gearing for connecting parallel shafts. Effective limits of involute design parameters that determine the actual tip circle radii of the generated gears are investigated. An approach based on contact path of mating gears is proposed to eliminate further operations for standard value of tip circle radius. Computer simulation programs are developed to obtain graphs of generating tools and generated teeth surfaces.
Highlights
Computer simulation of involute gear generating process has been studied by various authors
In the papers about mathematical modeling of the generating and generated teeth surfaces, the limits of involute region design parameters are given for exact geometry of the cutter but obtained gear teeth profile may extend above the standard tip circle
Fundamental law of gearing states that the common normal to the transverse section of the cutter and the gear tooth surface must pass through the instantaneous center of rotation
Summary
Computer simulation of involute gear generating process has been studied by various authors. In the papers about mathematical modeling of the generating and generated teeth surfaces, the limits of involute region design parameters are given for exact geometry of the cutter but obtained gear teeth profile may extend above the standard tip circle. This fact can be observed in the papers about pinion-type generation [6,15,22,23] and rack-type generation [5,7,12,13,14] for example.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
