Generation of Identical Noncircular Pitch Curves-Reference-Cited by-同舟云学术

Generation of Identical Noncircular Pitch Curves

Published:1998-06-01 Issue:2 Volume:120 Page:337-341
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Tong Shih-Hsi¹,Yang Daniel C. H.¹

Affiliation:

1. Mechanical and Aerospace Engineering Department, School of Engineering and Applied Science, University of California, Los Angeles, Los Angeles, CA 90095

Abstract

In this paper the theory and algorithm for generating pairs of identical noncircular conjugate pitch curves are presented. A set of criteria for two identical rigid bodies engaging in conjugate rolling motion is established. Based on these criteria, an algorithm is developed, which can be used to design this type of rolling pairs with almost unlimited profile varieties and any number of lobes. Geometrical conditions for having C1 (or slope) continuity at the intersections of tips and roots of lobe profiles are also established. A family of similar profiles can be designed at the same time by using a single parameter, the pitch noncircularity, via a dimensionless analysis. Results from this investigation should have applications to the design of noncircular gears and lobe pumps.

Publisher

ASME International

Subject

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

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/120/2/337/5920921/337_1.pdf

Reference17 articles.

1. Dunkerley, Mechanism, Longmans, Green, and Co. publishers, 1910.

2. Gobler H. E. , “Rollcuver Gears,” ASME Transactions, Vol. 61, 1939, pp. 223–231.

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

4. Kuczewski, M., “Designing Elliptical Gears,” Machine Design, Apr. 7, 1988, pp. 116–118.

5. Bloomfield, B., “Noncircular Gears,” Product Engineering, Mar. 14, 1960, pp. 59–66.

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