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Topology modification method of generating gear grinding based on multi-axis linkage parameter optimization

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Abstract

This paper proposes a topology modification method of generating gear grinding based on multi-axis linkage parameter optimization. In order to improve the accuracy of tooth flank modification in generating gear grinding and to reduce the transmission error of modified gear pair, a multi-objective optimization genetic algorithm is adopted to adjust machine movement. Firstly, according to the position and motion relationship among diamond wheel, worm wheel, and workpiece gear, the mathematical models of worm wheel dressing and generating gear grinding are established. The linkage relationships between motion axes are redefined to achieve topology modification. The radial feed \({F}_{\mathrm{X}1}\), tangential feed \({F}_{\mathrm{Y}1}\) of worm wheel, and gear rotational angle \({\mathrm{\varphi }}_{\mathrm{g}}\) are defined as the fourth-order polynomial function of axial feed \({F}_{\mathrm{Z}1}\). Secondly, the transmission error model of modified gear is developed. And the polynomial coefficients of each axis are optimized with the objective of minimizing total tooth flank deviation and transmission error. Finally, the effectiveness of this method is verified by three numerical examples with different parameter groups. In addition, the diamond wheel and worm wheel used in the study are standard profile, which saves the cost of gear machining and improves the efficiency of production cycle. The research results could provide a theoretical reference for the improvement of generating gear grinding process.

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All data and parameters for the simulation model used in this paper have been provided.

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Funding

The authors would like to thank the National Natural Science Foundation of China, Nos. 51875161 and 52075142, and the National key research and development plan “strategic science and technology innovation cooperation” project No. 2020YFE0201000.

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Authors and Affiliations

  1. School of Mechanical Engineering, Hefei University of Technology, Hefei, 230009, Anhui, China

    Jiang Han, Hong Jiang, Xiaoqing Tian, Guanghui Li, Tongfei You & Lian Xia

  2. Anhui Engineering Laboratory of Intelligent CNC Technology and Equipment, Hefei, 230009, Anhui, China

    Jiang Han, Hong Jiang, Xiaoqing Tian, Guanghui Li, Tongfei You & Lian Xia

Authors
  1. Jiang Han
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  2. Hong Jiang
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  6. Lian Xia
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Contributions

Jiang Han: investigation, writing (review and editing), funding acquisition. Hong Jiang: methodology, formal analysis, writing—original draft. Xiaoqing Tian: investigation, writing (review and editing), funding acquisition, project administration. Guanghui Li: data curation, formal analysis. Tongfei You: resources, validation, software. Lian Xia: investigation, supervision.

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Correspondence to Xiaoqing Tian.

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Han, J., Jiang, H., Tian, X. et al. Topology modification method of generating gear grinding based on multi-axis linkage parameter optimization. Int J Adv Manuf Technol 124, 449–466 (2023). https://doi.org/10.1007/s00170-022-10517-4

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