The synthesis of elliptical gears is formulated using envelope theory by means of a suitable shaper-cutter with involute tooth profile. A general algorithm producing the pitch curves of elliptical gears and their rack with any number of lobes is proposed. Evolutes of pitch curves can be also obtained in order to choose a suitable shaper-cutter, even for pitch curves with concave-convex profiles. The complete synthesis of both meshing elliptical gears and their rack is reported, several graphical results being shown for design and analysis purposes. Computer animations are also available.
The Synthesis of Elliptical Gears Generated by Shaper-Cutters
Contributed by the Reliability Stress Analysis and Failure Prevention Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received May 2002; rev. April 2003. Associate Editor: J. C. Moosbrugger.
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Figliolini, G., and Angeles, J. (January 22, 2004). "The Synthesis of Elliptical Gears Generated by Shaper-Cutters ." ASME. J. Mech. Des. December 2003; 125(4): 793–801. https://doi.org/10.1115/1.1631573
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