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TECHNICAL PAPERS

Geometric Modeling and Meshing Characteristics of the Toroidal Drive

[+] Author and Article Information
Ligang Yao1

Mechanical Engineering Department, Fuzhou University, People’s Republic of China

Jian S. Dai

Department of Mechanical Engineering, King's College London, University of London, London, WC2R 2LS, United Kingdomjian.dai@kcl.ac.uk

Guowu Wei

Mechanical Engineering Department, Fuzhou University, People’s Republic of China

Huamin Li

Mechanical Engineering Department, Harbin Institute of Technology, People’s Republic of China

1

Dr. Yao is currently a postdoctoral research fellow at King’s College London.

J. Mech. Des 127(5), 988-996 (Dec 21, 2004) (9 pages) doi:10.1115/1.1906248 History: Received November 18, 2004; Revised December 21, 2004

This paper investigates the geometric properties of the toroidal drive, reveals the meshing characteristics, and develops analytical models of both axial section and normal section of the toroidal tooth profile. Based on coordinate transformation, the meshing function is obtained and leads to the necessary condition of existence of the enveloping surface. The helix and helix lead angle are then proposed for meshing between the sun-worm and planet worm-gears and both undercutting curve and meshing limit curve are introduced. This further leads to the induced normal curvature for evaluating gearing properties and the selection of the best suitable meshing parameters. The geometric analysis and analytical modeling present a tool for design, leading to three tables of numerical results and design parameters. This is then demonstrated in a three-dimensional modeling of both helical sun-worm and stationary internal gear of the toroidal drive.

Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The schematic diagram of the toroidal drive

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Figure 2

Three-dimensional modeling of the toroidal drive

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Figure 3

Coordinate system of the sun-worm and a planet worm-gear

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Figure 4

Coordinate system of the stationary internal gear and a planet worm-gear

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Figure 5

Coordinate system of a meshing ball

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Figure 6

Contact curve on the generating surface

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Figure 7

Coordinate system of the axial section tooth profile of the sun-worm

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Figure 8

Shape of the axial section tooth profile of the sun-worm

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Figure 9

Shape of the axial section tooth profile of the stationary internal gear

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Figure 10

Normal plane of the sun-worm

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Figure 11

Tooth profile of the sun-worm

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Figure 12

Normal tooth section of the sun-worm

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Figure 13

The helix representation of the sun-worm tooth

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Figure 14

Three-dimensional modeling of the sun-worm and the helix

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Figure 15

Three-dimensional modeling of the stationary internal gear

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