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Research Papers

Contact Stress and Root Stress Analyses of Thin-Rimmed Spur Gears With Inclined Webs

[+] Author and Article Information
Shuting Li

Department of Mechanical, Electrical and Electronic Engineering,  Shimane University, Matsue 690-8504, Japanshutingli@ecs.shimane-u.ac.jp

J. Mech. Des 134(5), 051001 (Apr 06, 2012) (13 pages) doi:10.1115/1.4006324 History: Received July 08, 2011; Revised February 27, 2012; Published April 05, 2012; Online April 06, 2012

Loaded tooth contact analysis (LTCA), deformation, and stress calculations of three types of thin-rimmed spur gears with inclined webs at the left side, the center, and the right side of the tooth are conducted in this paper with finite element methods (FEM) combined with a mathematical programming method when these gears are engaged with a solid mating gear. The contact stresses on the tooth surfaces, the bending stresses at the tooth roots, and the joint stresses of the rim and the web are analyzed as the web position and the web angle are changed. It was found that the web position and the web angle of the thin-rimmed gears have a significant effect on the tooth contact stresses, the root bending stresses, and the joint stresses. The maximum contact stress of the right web gear becomes very small when the web is inclined from 0 to 30 deg, and it increases again when the web angles are changed from 45 to 60 deg. This interesting relationship between the web angle and the tooth contact stresses of thin-rimmed right inclined web gears is used to absorb the misalignment errors in the gears and improve the partial tooth contact pattern resulting from the misalignment errors. A calculation example is provided to illustrate how to improve the partial tooth contact patterns in gears with misalignment errors.

Copyright © 2012 by American Society of Mechanical Engineers
Topics: Stress , Gears , Deformation
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References

Figures

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Figure 1

Face-contact model used for loaded tooth contact analysis of gears

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Figure 2

Thin-rimmed spur gears with inclined webs and the mating gear

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Figure 3

FEM model and boundary conditions of the gears used for loaded tooth contact analysis

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Figure 4

Contour line graphs of tooth contact stress distributions of left web gears (unit: MPa)

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Figure 5

Relationship of the left web gears between the maximum contact stress and the web angle

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Figure 6

Contour line graphs of tooth contact stress distributions of center web gears (unit: MPa)

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Figure 7

Relationship of the center web gears between the maximum tooth contact stress and the web angle

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Figure 8

Contour line graphs of tooth contact stress distributions of the right web gears (unit: MPa)

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Figure 9

Relationship of the right web gears between the maximum tooth contact stress and the web angle

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Figure 10

Comparison of the maximum contact stresses of three kinds of gears

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Figure 11

Relationship of the left web gears between the web angle and the root stress distribution

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Figure 12

Relationship of the center web gears between the web angle and the root stress distribution

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Figure 13

Relationship of the right web gears between the web angle and the root stress distribution

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Figure 14

Joint stresses of the left web gears

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Figure 15

Joint stresses of the center web gears

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Figure 16

Joint stresses of the right web gears

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Figure 17

Joint stresses comparison of three kinds of gears

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Figure 18

Joint stresses of the gears with different web thickness

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Figure 19

The maximum joint stress versus web thickness

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Figure 20

Deformation of the left web gears

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Figure 21

Deformation of the center web gears

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Figure 22

Deformation of the right web gears

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Figure 23

Tooth deformation of the right web gear (web angle = 0 deg)

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Figure 24

Deformation of the loaded tooth of the right web gear (web angle = 0 deg)

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Figure 25

Contact stress distribution of center straight web gear with 0.017 deg misalignment error (unit: MPa)

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Figure 26

Contact stresses of right 30 deg inclined web gear with 0.017 deg misalignment error (unit: MPa)

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