The Synthesis of Elliptical Gears Generated by Shaper-Cutters

Author:

Figliolini Giorgio1,Angeles Jorge2

Affiliation:

1. DiMSAT, University of Cassino, G. Di Biasio 43, 03043 Cassino (Fr), ITALY

2. Dept. of Mechanical Engineering & CIM, McGill University, 817 Sherbrooke St., Montreal, Quebec H3A 2K6, Canada

Abstract

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.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference22 articles.

1. Bloomfield, B. , 1960, “Noncircular Gears,” J. Product Engineering, 31, March 14, pp. 59–66.

2. Chironis, N. P., 1965, Mechanisms, Linkages, and Mechanical Controls, McGraw-Hill, New York, pp. 241–245.

3. Rappaport, S. , 1960, “Elliptical Gears for Cyclic Speed Variations,” J. Product Engineering, March 28, pp. 68–70.

4. Emura, T., and Arakawa, A., 1992, “A New Steering Mechanism Using Noncircular Gears,” JSME Int. J., Ser. III, 35(4), pp. 604–610.

5. Dooner, D. B. , 1997, “Use of Noncircular Gears to Reduce Torque and Speed Fluctuations in Rotating Shafts,” ASME J. Mech. Des., 119, pp. 299–306.

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