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Research Papers: Power Transmissions and Gearing

Flank Correction for Spiral Bevel and Hypoid Gears on a Six-Axis CNC Hypoid Generator

[+] Author and Article Information
Yi-Pei Shih

 Luren Precision Co., Ltd., No. 1-1, Li-Hsin 1st Rd., Hsinchu Science Park, Hsinchu, Taiwan, R.O.C.

Zhang-Hua Fong1

Department of Mechanical Engineering, National Chung Cheng University, No. 168, University Road, Min-Hsiung, Chia-Yi, Taiwan, 621, R.O.C.imezhf@ccu.edu.tw

1

Corresponding author.

J. Mech. Des 130(6), 062604 (Apr 16, 2008) (11 pages) doi:10.1115/1.2890112 History: Received May 20, 2007; Revised December 02, 2007; Published April 16, 2008

Because the contact patterns of spiral bevel and hypoid gears are highly sensitive to tooth flank geometry, it is desirable to reduce the flank deviations caused by machine errors and heat treatment deformation. Several methods already proposed for flank correction are based on the cutter parameters, machine settings, and kinematical flank motion parameters of a cradle-type universal generator, which are modulated according to the measured flank topographic deviations. However, because of the recently developed six-axis Cartesian-type computer numerical control (CNC) hypoid generator, both face-milling and face-hobbing cutting methods can be implemented on the same machine using a corresponding cutter head and NC code. Nevertheless, the machine settings and flank corrections of most commercial Cartesian-type machines are still translated from the virtual cradle-type universal hypoid generator. In contrast, this paper proposes a flank-correction methodology derived directly from the six-axis Cartesian-type CNC hypoid generator in which high-order correction is easily achieved through direct control of the CNC axis motion. The validity of this flank-correction method is demonstrated using a numerical example of Oerlikon Spirac face-hobbing hypoid gears made by the proposed Cartesian-type CNC machine.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Coordinate systems for the face-hobbing cutter head

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Figure 2

Coordinate systems for the universal face-hobbing hypoid gear generator

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Figure 3

Coordinate systems for the Gleason Phoenix six-axis machine

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Figure 4

Kinematic relationships of the Gleason Phoenix machine axes for the uncorrected Spirac hypoid gears

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Figure 5

Simulated tooth surfaces of the Spirac hypoid gears according to the proposed mathematical model of a Cartesian-type hypoid generator

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Figure 6

Flank topographic deviations for the numerical example

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Figure 7

Flank sensitivity topographies corresponding to the cutter parameters: pinion

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Figure 8

Flank sensitivity topographies corresponding to the cutter parameters: gear

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Figure 9

Flank sensitivity topographies corresponding to the zero-degree Taylor coefficients for the six-axis movement: pinion

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Figure 10

Flank sensitivity topographies corresponding to the first-degree Taylor coefficients for the six-axis movement: pinion

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Figure 11

Flank sensitivity topographies corresponding to the zero-degree Taylor coefficients for the six-axis movement: gear

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Figure 12

Kinematic relationships of the Gleason Phoenix machine axes after correction

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Figure 13

Simulated flank topographic deviations of the Oerlikon Spirac gears after correction

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