Curvatures and Sliding Ratios of Conjugate Surfaces-Reference-Cited by-同舟云学术

Curvatures and Sliding Ratios of Conjugate Surfaces

Published:1998-03-01 Issue:1 Volume:120 Page:126-132
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Chen N.¹

Affiliation:

1. Peerless-Winsmith, Inc. Springville, NY 14141

Abstract

A new approach for curvatures of conjugate surfaces is provided in this paper. The main characteristic of the approach is that relative curvatures and geodesic torsions of the conjugate surfaces are directly calculated in terms of the normal curvatures and geodesic torsions of the generating surface on two nonorthogonal tangents of surface curvilinears in the global surface system. Based on the curvature equations, sliding velocities and sliding ratios of the conjugate surfaces are studied. The approach is illustrated by a numerical example of a plane enveloping globoidal worm-gear drive.

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/120/1/126/5920692/126_1.pdf

Reference17 articles.

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2. Do Carmo, M. P., 1976, Differential Geometry of Curves and Surfaces, Prentice Hall, Inc.

3. Grill, J., 1993, Zur Kru¨mmungstheorie von Hu¨llfla¨chen und ihrer Anwendung bei Werkzeugen und Verzahnungen, Institut fu¨r Maschinenclemente.

4. Litvin, F. L., 1952, “Toward the Investigation of Meshing of Spatial Gearing with Instantaneous Line Tangency of Tooth Surfaces” Proc. of Theory of Mechanisms and Machines, Academy of Sciences of USSR, No. 49 (in Russian).

5. Litvin, F. L., 1968, Theory of Gearing, 2nd Edition, Nauka, (in Russian).

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