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RESEARCH PAPERS

Fourth-Order Kinematic Synthesis for Face-Milling Spiral Bevel Gears With Modified Radial Motion (MRM) Correction

[+] Author and Article Information
Pei-Yu Wang

Department of Mechanical Engineering, National Chung-Cheng University, 160 San-Hsin, Chai Yi, 621, Taiwan, R.O.C.

Zhang-Hua Fong1

Department of Mechanical Engineering, National Chung-Cheng University, 160 San-Hsin, Chai Yi, 621, Taiwan, R.O.C.imezhf@ccu.edu.tw

1

To whom all correspondence should be addressed.

J. Mech. Des 128(2), 457-467 (Mar 03, 2005) (11 pages) doi:10.1115/1.2168466 History: Received September 05, 2003; Revised March 03, 2005

The use of a fourth-order motion curve is proposed by Stadtfeld and Gaiser to reduce the running noise of a bevel gear set recently. However, the methodology of synthesizing the tooth surfaces was not clearly shown in the literature. In this work, we proposed a methodology to synthesize the mating tooth surfaces of a face-milling spiral bevel gear set transmitting rotations with a predetermined fourth-order motion curve and contact path. A modified radial motion (MRM) correction in the machine plane of a computer numerical control (CNC) hypoid generator is introduced to modify the pinion tooth surface. With MRM correction, an arbitrary predetermined contact path on the pinion tooth surface with predetermined fourth-order motion curve can be achieved. Parameters of MRM correction are calculated according to the predetermined contact path and motion curve. As shown by the numerical examples, the contact path and the motion curve were obtained as expected by applying the MRM correction. The results of this work can be applied to the pinion, which is generated side-by-side (for example, fixed setting method, formate method, and Helixform method) and can be used as a basis for further study on the motion curve optimizations.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Coordinate systems applied for the universal hypoid generator

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Figure 2

The normal section of the head cutter blade

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Figure 3

Coordinate systems applied for simulation of meshing

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Figure 4

Instantaneous axis of rotation of surfaces ΣP and ΣG

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Figure 5

Motion curve and the “Z” shaped paths on pinion tooth surface

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Figure 6

Enlarged view of contact path on the pinion tooth surface

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Figure 7

The ease-off topography between the ideal and the proposed MRM corrections of pinion

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Figure 8

The results of TCA

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Figure 9

The machine settings with MRM correction

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Figure 10

The ease-off topography between the ideal and the proposed MRM corrections of pinion

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Figure 11

The results of TCA

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