
Journal for Geometry and Graphics 13 (2009), No. 1, 101112 Copyright Heldermann Verlag 2009 Two Synthesis Methods for NonCircular Cylindrical Gears Gert F. Bär Institute for Geometry, University of Technology, 01062 Dresden, Germany gert.baer@tudresden.de Two synthesis methods for the design of noncircular cylindrical gears are presented here. One of the methods generalizes the use of nlobed ellipses as pitch curves. It is shown that nlobed hyperbolas and parabolas can be used as well as internal rolling nlobed ellipses. The resulting transmission ratio is determined by the two lobe numbers of the gears and one real design parameter. The other synthesis method solves the following problem: Prescribed input and output functions of revolution of two planes rotating about two fixed points are given. Determine centrodes (pitch curves) which realize this motion between the two planes by rolling on each other. The general solution takes account of additional mechanical constraints. Keywords: Mechanism, kinematics, noncircular gears, lobed conics, pitch curves, transmission. MSC: 53A17 [ Fulltextpdf (266 KB)] for subscribers only. 