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Digital generating method for cylindrical helical gear based on indexable disk milling cutter

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Abstract

To solve the problem of low efficiency in digital generating machining for producing small or medium batches of helical gears, a method to improve the machining efficiency with an indexable disk milling cutter is presented in this paper. First, the mathematical model of the tooth profile and the indexable disk milling cutter are established. Second, according to the spatial free-form envelope theory, the overall planning scheme of the tool path is given; the relative position and the relative transformation matrix of the tool and tooth profile during digital generating machining using the indexable disk milling cutter are solved, the simulation cutting and actual cutting experiments are conducted, and the cutting efficiency per unit time and cutting simulation time of the two tools under the same deformation conditions is obtained through a finite element analysis experiment. The results show that the cutting efficiency of the indexable disk milling tool was 2–3 times higher than that of the end mill cutter.

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Availability of data and material

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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References

  1. Bouzakis KD, Lili E, Michailidis N, Friderikos O (2008) Manufacturing of cylindrical gears by generating cutting processes: a critical synthesis of analysis methods. CIRP Ann 57(2):676–696

    Article  Google Scholar 

  2. Chen YP, Cao HJ, Li XG, Chen P (2016) The model of spatial forming with multi-cutting-edge for cylindrical gear hobbing and its application. Journal of Mechanical Engineering 52(09):176–183

    Article  Google Scholar 

  3. Zhu LM, Lu YA (2013) Modeling swept envelopes of rotary cutting tools with application to five-axis flank milling. Journal of Mechanical Engineering 49(07):176–183

    Article  Google Scholar 

  4. Bo PB, Bartoň M, Plakhotnik D, Pottmann H (2016) Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution. Comput Aided Des 79:1–11

    Article  Google Scholar 

  5. Harik RF, Gong H, Bernard A (2013) 5-axis flank milling: a state-of-the-art review. Comput Aided Des 45(3):796–808

    Article  Google Scholar 

  6. Lo CC (1999) Efficient cutter-path planning for five-axis surface machining with a flat-end cutter. Comput Aided Des 31(9):557–566

    Article  Google Scholar 

  7. Pechard PY, Tournier C, Lartigue C, Lugarini JP (2009) Geometrical deviations versus smoothness in 5-axis high-speed flank milling. Int J Mach Tools Manuf 49(6):454–461

    Article  Google Scholar 

  8. Shih YP, Chen SD (2012) Free-form flank correction in helical gear grinding using a five-axis computer Numerical Control Gear Profile Grinding Machine. J Manuf Sci Eng 134(4)

  9. Gong H, Wang N (2011) 5-axis flank milling free-form surfaces considering constraints. Comput Aided Des 43(6):563–572

    Article  Google Scholar 

  10. Guo EG, Ren NF, Liu ZL, Zheng XT, Zhou CL (2019) Study on tooth profile error of cylindrical gears manufactured by flexible free-form milling. Int J Adv Manuf Technol 103(9):4443–4451

    Article  Google Scholar 

  11. Chiang CJ, Fong ZH (2010) Design of form milling cutters with multiple inserts for screw rotors. Mech Mach Theory 45(11):1613–1627. https://doi.org/10.1016/j.mechmachtheory.2010.06.012

    Article  MATH  Google Scholar 

  12. Zheng FY, Han XH, Lin H, Zhao WH (2021) Research on the cutting dynamics for face-milling of spiral bevel gears. Mech Syst Signal Process 153. https://doi.org/10.1016/j.ymssp.2020.107488

  13. Habibi M, Chen ZC (2016) A semi-analytical approach to un-deformed chip boundary theory and cutting force prediction in face-hobbing of bevel gears. Comput Aided Des 73:53–65

    Article  Google Scholar 

  14. Shih YP, Sun ZH, Wu FC (2017) A disk tool cutting method for bevel gear manufacture on a five-axis machine. Int J Adv Manuf Technol 94(1–4):855–865

    Google Scholar 

  15. Litvin F (2004) Gear geometry and applied theory, 2nd edn. Cambridge University Press, New York

    Book  Google Scholar 

Download references

Acknowledgements

We would like to thank Editage (www.editage.cn) for the English language editing.

Funding

We would like to thank the financial aid and support from the National Key Research and Development Program of China (No. 2020YFB2010202), the National Science Foundation of China (No. 51775073, No. 51805060), Science and Technology Research Program of Chongqing Municipal Education Commission under Grant (No. KJQN201901107), and The University Innovation Research Group of Chongqing (No. CXQT20022).

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Authors and Affiliations

  1. School of Mechanical Engineering, Chongqing University of Technology, Chongqing, 400054, China

    Weiqing Zhang, Qing Zhou, Xiaodong Guo, Rulong Tan & Ruizhi Shu

  2. Chongqing Machine Tool (Group) Co, Ltd, Chongqing, 401339, China

    Weiqing Zhang

  3. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing, 400030, China

    Weiqing Zhang

Authors
  1. Weiqing Zhang
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  2. Qing Zhou
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  3. Xiaodong Guo
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  4. Rulong Tan
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  5. Ruizhi Shu
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Contributions

WZ contributed to the conception of the study; QZ performed the experiment and wrote the manuscript; XG contributed key technical guidance and manuscript revisions; RT helped perform the analysis with constructive discussions; RS assisted machining and measurement experiments.

Corresponding author

Correspondence to Qing Zhou.

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This is an original scientific paper. I would like to declare on behalf of my co-authors that the work described is original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part.

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Zhang, W., Zhou, Q., Guo, X. et al. Digital generating method for cylindrical helical gear based on indexable disk milling cutter. Int J Adv Manuf Technol 119, 6835–6848 (2022). https://doi.org/10.1007/s00170-021-08533-x

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  • DOI: https://doi.org/10.1007/s00170-021-08533-x

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