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Mathematical model of slotting manufacture and simulation for cosine gears

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Abstract

A slotting method for cosine gears was proposed by using the involute cutter based on the conjugate theories of digital surface and gear meshing. The slotting model between the cosine tooth surface represented by discrete points and the cutter figuration determined by analytic function was built for their geometrical relationship and conjugate motion during the machining process. Conjugate points in the cutter section corresponding to the discrete points on the cosine gear tooth surface and the conjugate movements were solved. By using the flexible control of the CNC procedure, the active control of the cutting trace of the slotting cutter was accomplished and the envelop forming of the cosine gear was obtained. Based on the software C++ and Matlab, the computer aided manufacturing (CAM) system of the cosine gear was developed, and the simulation of the slotting process was accomplished. Several examples were provided to illustrate the approach. The result of the simulation demonstrates that the proposed slotting method is feasible.

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Authors and Affiliations

  1. School of Mechanical & Automotive Engineering, Xiamen University of Technology, Xiamen, 361024, China

    Jian Wang  (王建) & Shan-ming Luo  (罗善明)

  2. School of Physics and Mechanical & Electrical Engineering, Xiamen University, Xiamen, 361005, China

    Jian Wang  (王建)

  3. Jianglu Maching and Electronics Group Co., Ltd., Xiangtan, 411100, China

    Pan Xu  (徐攀)

Authors
  1. Jian Wang  (王建)
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  2. Shan-ming Luo  (罗善明)
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  3. Pan Xu  (徐攀)
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Corresponding author

Correspondence to Shan-ming Luo  (罗善明).

Additional information

Foundation item: Projects(51205335, 50975242, 51375411) supported by the National Natural Science Foundation of China; Project(2013J01209) supported by the Natural Science Foundation of Fujian Province, China

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Wang, J., Luo, Sm. & Xu, P. Mathematical model of slotting manufacture and simulation for cosine gears. J. Cent. South Univ. 21, 933–941 (2014). https://doi.org/10.1007/s11771-014-2021-5

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  • DOI: https://doi.org/10.1007/s11771-014-2021-5

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