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Research Papers

A New Method of Designing the Tooth Surfaces of Spiral Bevel Gears With Ruled Surface for Their Accurate Five-Axis Flank Milling

[+] Author and Article Information
Yuansheng Zhou

State Key Laboratory of High Performance
Complex Manufacturing,
Central South University,
Changsha 410083, Hunan, China
e-mail: zyszby@hotmail.com

Zezhong C. Chen

Department of Mechanical and
Industrial Engineering,
Concordia University,
Montreal, QC H3G1M8, Canada
e-mail: zcchen@encs.concordia.ca

Jinyuan Tang

State Key Laboratory of High Performance
Complex Manufacturing,
Central South University,
Changsha 410083, Hunan, China
e-mail: jytangcsu@163.com

1Corresponding authors.

Manuscript received November 9, 2015; final manuscript received October 18, 2016; published online January 24, 2017. Assoc. Editor: Guillaume Fromentin.

J. Manuf. Sci. Eng 139(6), 061004 (Jan 24, 2017) (12 pages) Paper No: MANU-15-1562; doi: 10.1115/1.4035079 History: Received November 09, 2015; Revised October 18, 2016

The advantages of the five-axis flank milling of (developable) ruled surfaces include that (1) the machined surfaces could be very accurate and smooth and (2) the machining efficiency is high. Currently, spiral bevel gears are machined on the machine tools specially used for gear manufacturing. The disadvantages are that the cost is high for small batch, prototype, or repair. If a small group of spiral bevel gears are needed, the current methods are not valid. Thus, it is expected to machine the gears on five-axis computer numerical control (CNC) milling centers. Unfortunately, when tooth surfaces are designed based on the conventional gear manufacturing methods, they cannot be accurately machined in five-axis flank milling. This work is to develop the new technique for the five-axis flank milling of spiral bevel gears. First, a new method of designing the tooth surface of spiral bevel gears with ruled surface is proposed. Second, the cutter locations and orientations are calculated for five-axis flank milling the tooth surfaces. Third, the actual tooth surfaces are accurately represented with the cutter envelope surface in five-axis flank milling. It is confirmed that the difference of the actual tooth surface and the designed tooth surface is within the tolerance. Then, a pinion is generated to mesh with the gear, and the tooth contact analysis (TCA) is conducted. The good result demonstrates that the proposed method is valid, thus it can be used in industry.

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References

Figures

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Fig. 1

The lengthwise curve and profile of a tooth surface

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Fig. 2

The circular lengthwise curve of the crown gear

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Fig. 3

The circular lengthwise curve of the spiral bevel gear: (a) front view and (b) top view

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Fig. 4

The profile definition of the ruled tooth surface

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Fig. 5

Three-dimensional gear model with ruled tooth surfaces design

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Fig. 6

Definition of the conical cutter surface

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Fig. 7

Tool position and orientation corresponding to a point on the contact path

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Fig. 8

Tool paths planned for one tooth slot: (a) tool path for convex tooth surface and (b) Tool path for concave tooth surface

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Fig. 9

The envelope surface of the cutter upper surface: (a) for convex tooth surface and (b) for concave tooth surface

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Fig. 10

The comparison between designed and simulate machined models

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Fig. 11

Geometric deviation analysis of the proposed designed model

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Fig. 14

TCA results:(a) gear contact path, (b) pinion contact path, and (c) transmission errors

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Fig. 13

The assembly of gear and pinion models

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Fig. 12

Geometric deviation analysis of the generated face-milled model

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