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Research Papers: Design of Direct Contact Systems

A New Method of Motion Rule Synthesis for Face Gear Manufacturing by Plane-Cutter

[+] Author and Article Information
Xian-long Peng

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Building 10#, 58# Yan ta Road,
Xi'an 710054, Shaan Xi, China
e-mail: pxljsh@126.com

Qin-yu Niu

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Building 10#, 58# Yan ta Road,
Xi'an 710054, Shaan Xi, China
e-mail: 417594863@qq.com

Wei Guo

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Building 10#, 58# Yan ta Road,
Xi'an 710054, Shaan Xi,
China e-mail: 710699041@qq.com

Zong-de Fang

School of Mechatronics,
Northwestern Polytechnic University,
Mailbox 554#, 127# You Yi Road,
Xi'an 710072, Shaan Xi, China
e-mail: fauto@nwpu.edu.cn

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 24, 2017; final manuscript received August 22, 2017; published online December 13, 2017. Assoc. Editor: Hai Xu.

J. Mech. Des 140(2), 023302 (Dec 13, 2017) (9 pages) Paper No: MD-17-1174; doi: 10.1115/1.4037762 History: Received February 24, 2017; Revised August 22, 2017

The application of a Gleason Coniflex cutter (plane-cutter) to a modern Phoenix bevel gear machine tool in face gear manufacturing has an advantage of involving a universal cutter or grinder and an available existing machine. It is valuable to research this method for face gear manufacturing. First, the principle of the application of the plane-cutter in face gear manufacturing is presented. Then, the geometry of the cutter is defined, and the model of the face gear generated by this method in abstract is established. Third, a method that uses a predesigned contact path for the synthesis with the motion parameters of the plane-cutter is proposed; controllable transmission errors are considered in this process. Fourth, based on the equivalence principle of the position and direction, the computer numerical control (CNC) motion rules of all spindles of the machine are determined, and the surface generated by the machine is presented. Finally, numerical simulation of an example demonstrates that although the surface generated by the plane-cutter, to a certain extent, deviates from the theoretical surface generated by the traditional method, the surface, in meshing with the standard involute surface of the pinion, presents a good geometric meshing performance based on tooth contact analysis (TCA), except for a shortened contact ellipse.

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References

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Figures

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Fig. 1

The geometrical and motion relation between the plane-cutter and the face gear

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Fig. 2

Contact line and contact point between surfaces Σp, Σm, Σ2, the approximation of L2m by single contact line L2p

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Fig. 3

Definition of the plane-cutter

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Fig. 6

Phoenix machine tool for face gear generation by plane-cutter

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Fig. 7

Coordinate systems for face gear generation on the Phoenix machine tool

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Fig. 8

Tooth surfaces Σ2pC and their deviations in case 1 and 2

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Fig. 10

Contact path, bearing contact, and contact ellipses

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Fig. 9

The variation of tooth surface under the influence of the predesigned transmission errors

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Fig. 11

Transmission errors in cases 1 and 2 after transmission errors predesign

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Fig. 5

Predesign contact path on the generated surface Σ2p

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Fig. 4

Coordinate systems applied in the face gear generation

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