Undercutting and Contact Characteristics of Cylindrical Gears With Curvilinear Shaped Teeth Generated by Hobbing

[+] Author and Article Information
Jui-Tang Tseng

Mechanical Industry Research Laboratories,  Industrial Technology Research Institute, Hsinchu, Taiwan 310

Chung-Biau Tsay1

Department of Mechanical Engineering, Ming Hsin University of Science and Technology, Hsinchu, Taiwan 30401, R.O.C


Corresponding author.

J. Mech. Des 128(3), 634-643 (Aug 05, 2005) (10 pages) doi:10.1115/1.2181605 History: Received February 24, 2005; Revised August 05, 2005

Undercutting characteristics of the curvilinear-tooth gear, cut by a hob cutter performing motion with two independent parameters, are investigated. The tooth contact analysis (TCA) and the surface topology method are applied to study the kinematic errors (KE) and contact ellipses of the curvilinear-tooth gear under different assembly conditions. Several numerical examples are presented to demonstrate the influence of the assembly errors and design parameters of the gear on the KEs and contact ellipses of the gear pair.

Copyright © 2006 by American Society of Mechanical Engineers
Topics: Gears , Bearings
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Figure 1

Geometry of the straight-edged cutting blade and worm-type hob cutter

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Figure 2

Simulation of a generation mechanism with two-parameter motion

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Figure 3

Coordinate systems of the hob cutter and CNC hobbing machine

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Figure 7

Common tangent plane and polar coordinates

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Figure 11

Relationship between the ratio a∕b and nominal radius Rc

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Figure 12

Contact ellipses and bearing contacts on the pinion surface under horizontal axial-misalignment Δγh=3′

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Figure 13

Contact ellipses and bearing contacts on the pinion surface under vertical axial-misalignment Δγv=3′

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Figure 14

Contact ellipses and bearing contacts on the pinion surface with assembly errors Δγh=3′, Δγv=3′, and ΔC=0.2mm

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Figure 4

Location of singular points under different numbers of teeth

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Figure 5

Location of singular points under different nominal radii

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Figure 6

Simulation of gear meshing with assembly errors

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Figure 8

Measurement on surface separation

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Figure 9

Kinematic errors of the curvilinear-tooth gear pair under ideal meshing condition

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Figure 10

Contact ellipses and bearing contacts on the pinion surface under ideal assembly condition




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