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Research Papers

Effect of Convex Tooth Flank Form Deviation on the Characteristics of Transmission Error of Gears Considering Elastic Deformation

[+] Author and Article Information
Edzrol Niza Mohamad

Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto-shi, Kyoto 606-8501, Japan; Department of Engineering Design and Manufacture, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia

Masaharu Komori1

Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto-shi, Kyoto 606-8501, Japankomorim@me.kyoto-u.ac.jp

Hiroaki Murakami, Aizoh Kubo

Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto-shi, Kyoto 606-8501, Japan

Suping Fang

State Key Laboratory for Manufacturing System Engineering, Xi’an Jiaotong University, Xi’an 710049, Chinafangsuping@hotmail.com

1

Corresponding author.

J. Mech. Des 132(10), 101005 (Oct 04, 2010) (11 pages) doi:10.1115/1.4002458 History: Received December 15, 2009; Revised August 09, 2010; Published October 04, 2010; Online October 04, 2010

The transmission error of gears is an important factor for power transmissions, particularly automotive. Consequently, a lot of research has been conducted on the gear transmission. However, in contrast, there remains relatively little research clarifying the characteristics of gear transmission error and its relationship to the tooth flank form. The authors have proposed a general model for tooth meshing between gears. This expresses the transmission error theoretically from a quasi-infinite elastic model, which is composed of springs with stiffness specific to the gears. In this report, the influence of tooth flank form deviation on transmission error is further investigated by using this model. It is shown that the form of the ridge curve of the tooth flank form deviation greatly influences the actual contact ratio at the minimum point of peak-to-peak value of transmission error. The peak-to-peak value of transmission error is affected by the amplitude and the form of the ridge curve.

Copyright © 2010 by American Society of Mechanical Engineers
Topics: Gears , Errors
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References

Figures

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Figure 1

(a) Schematic model of actual tooth contact area on plane of action and (b) the actual meshing rotation angle of drive gear

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Figure 2

(a) CTFFD, curve on contact line, ridge curve, and their extended part expressed on the plane of action of a helical gear and (b) relationship between the ridge curve and contact line direction and the profile and lead directions on the plane of action

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Figure 3

Definition of ridge curve and curve on contact line

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Figure 4

(a) Effect of parameter s to define the curvature of ridge curve on the form of ridge curve and (b) effect of parameter lrx to define the reference length for the definition of ridge curve on the form of ridge curve

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Figure 5

Effect of parameter v to define the curvature of curve on contact line on the form of curve on contact line

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Figure 6

(a) Profile modification curve and (b) lead modification curve

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Figure 7

(a) Curve on contact line drawn using two different expression methods and (b) ridge curve drawn using two different expression methods

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Figure 8

Peak-to-peak value of normalized transmission error

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Figure 9

Schematic model of tooth contact condition for a pair of helical gears with or without edge contact

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Figure 10

Effect of reference length for the definition of ridge curve lrx on valley and peak positions and peak-to-peak value of transmission error at peak positions, calculated by general model

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Figure 11

Effect of reference length for the definition of ridge curve lrx on valley and peak positions, calculated by conventional computer simulation

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Figure 12

Effect of reference length for the definition of ridge curve lrx on the peak-to-peak value of transmission error at peak positions, calculated by conventional computer simulation

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Figure 13

Effect of parameter of the curvature of ridge curve s on valley and peak positions, calculated with the general model

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Figure 14

Effect of parameter of the curvature of ridge curve s on the peak-to-peak value of transmission error at peak positions

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Figure 15

Cases of apex position (x coordinate) of the ridge curve, xr0=0 and xr0≠0, where the position of the flattest curve on contact line and that of the highest stiffness are located at x=0

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Figure 16

Effect of apex position (x coordinate) of the ridge curve (xr0) on the valley and peak positions and peak-to-peak value of transmission error at peak positions

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Figure 17

Effect of reference length of curve on contact line lcy on valley and peak positions and on the peak-to-peak value of transmission error at peak positions

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Figure 18

Effect of parameter to define the curvature of curve on contact line v on valley and peak positions and the peak-to-peak value of transmission error at peak positions

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Figure 19

Difference of curve on contact line between cx=1 and cx>1

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Figure 20

Effect of parameter to express the differences of each curve on contact line cx on valley and peak positions and the peak-to-peak value of transmission error at peak positions

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Figure 21

Distribution of actual contact ratio at each valley (position of minimum peak-to-peak value of transmission error)

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Figure 22

Distribution of the actual contact ratio at each peak (position of maximum peak-to-peak value of transmission error)

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Figure 23

Effects of each parameters on the valley and peak positions and the peak-to-peak value of transmission error at peak positions

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