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Article

Computer Aided Analysis of Bending Strength of Involute Spur Gears with Asymmetric Profile

[+] Author and Article Information
Kadir Cavdar1

Assistant Professorcavdar@uludag.edu.trResearch Assistantkarpat@uludag.edu.trProfessorbabalik@uludag.edu.trMechanical Engineering Department, Uludag University, TR 16059 Bursa Turkey

Fatih Karpat, Fatih C. Babalik

Assistant Professorcavdar@uludag.edu.trResearch Assistantkarpat@uludag.edu.trProfessorbabalik@uludag.edu.trMechanical Engineering Department, Uludag University, TR 16059 Bursa Turkey

1

To whom correspondence should be addressed.

J. Mech. Des 127(3), 477-484 (Jun 30, 2004) (8 pages) doi:10.1115/1.1866158 History: Received December 10, 2003; Revised June 30, 2004

This paper presents a method for the determination of bending stress minimization of involute spur gears. A computer program has been developed to investigate the variation of bending stress and contact ratio depending on the pressure angle on the drive side. Since asymmetric tooth is not standard, the tooth model, which was introduced by DIN 3990/Method C and ISO/TC 60, has been adjusted for asymmetric tooth by the authors. The determination of the tooth form and stress concentration factors for asymmetric tooth has been accomplished for each different parameter (pressure angles, tool radius, rack shift, etc.). The sample results, which were obtained by using a developed computer program, are illustrated with numerical examples.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Coast and drive sides of asymmetric involute tooth

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Figure 2

Contact line of asymmetric gears

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Figure 3

Tooth model for bending stress (8)

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Figure 4

Comparison of the maximum tooth bending stress points

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Figure 5

Flowchart of the computer program

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Figure 6

Sample matrix of the program (zn1=20)

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Figure 7

(a) Alteration graphic of YFa*YS*Yε depending on pressure angle on drive side and tooth number results. (b) Sample graphic of YFa*YS*Yε depending on pressure angle on drive side (for zn1=20.

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Figure 8

(a) Alteration of contact ratio depending on pressure angle on drive side and tooth number results. (b) Alteration of tooth thickness depending on pressure angle on drive side and tooth number results.

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Figure 9

Results of bending stress analysis obtained by using FEM

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Figure 10

Alteration of YFa*YS depending on pressure angle of drive side

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Figure 11

Effect of tool radius on multiplication of YFa and YS

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Figure 12

Variation of single tooth contact length of tooth

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Figure 13

Changes in the length of contact and zone of single tooth contact

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