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Design and Dynamic Performance Analysis of High-Contact-Ratio Spiral Bevel Gear Based on Ease-off Technology

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Abstract

To improve the dynamic performance of spiral bevel gear transmission, an ease-off flank modification method of the high-contact-ratio spiral bevel gear is proposed. First, the high-contact-ratio spiral bevel gear is designed by increasing the angle between the contact path and the pitch cone of a pinion tooth surface with ease-off technology. Second, the meshing performance of the high-contact-ratio spiral bevel gear designed utilizing ease-off technology is compared with the HCR spiral bevel gear designed by the local synthesis method. Finally, the loaded transmission error (the main vibration excitation of the gear transmission in the low-speed range), the meshing impact (the main vibration excitation of the gear transmission in the high-speed range) and the dynamic performance of the high-contact-ratio spiral bevel gear are compared with that of a low-contact-ratio spiral bevel gear. A simulation analysis based on the ease-off technology shows that the design contact ratio of the spiral bevel gear can be improved by increasing the angle between the contact path and the pitch cone of the pinion tooth surface; compared with the local synthesis method, the high-contact-ratio spiral bevel gear transmission designed by the ease-off flank modification method has a better meshing performance; increasing the design contact ratio can effectively reduce the loaded transmission error, and meshing impact, and obtain a spiral bevel gear transmission with good dynamic performance over the whole speed range.

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References

  1. Falah, B., Gosselin, C., & Cloutier, L. (1998). Experimental and numerical investigation of the meshing cycle and contact ratio in spiral bevel gears. Mechanism and Machine Theory, 33(1–2), 21–37.

    Article  Google Scholar 

  2. Kahraman, A., & Blankenship, G. W. (1999). Effect of involute contact ratio on spur gear dynamics. ASME Journal of Mechanical Design, 121(1), 112–118.

    Article  Google Scholar 

  3. Deng, X. Z., Fan, M., & Yang, H. B. (2002). Relationship between contact ratio and load of spiral bevel gears. China Mechanical Engineering, 12(8), 878–880. Chinese.

    Google Scholar 

  4. Deng, X. Z., Fang, Z. D., & Zhang, J. L. (2002). Design of spiral bevel gears with high contact ratio. China Mechanical Engineering, 13(9), 791–795. Chinese.

    Google Scholar 

  5. Deng, X. Z., Fang, Z. D., & Yang, H. B. (2002). Strength analysis of spiral bevel gear with high contact ratio. Journal of Aerospace Power, 17(3), 367–372. Chinese.

    Google Scholar 

  6. Deng, X. Z. (2002). Research of design theory and experiments of spiral bevel gears with high contact ratio. Northwestern Polytechnical University. Chinese.

  7. Deng, X. Z., Fang, Z. D., & Wei, B. Y. (2004). Design and experiment of spiral bevel gears with high contact ratio. Chinese Journal of mechanical Engineering, 40(6), 95–99. Chinese.

    Article  Google Scholar 

  8. Wildhaber, E. (1946). Basic relationship of hypoid gears. American Machinist, 90(6), 108–111.

    Google Scholar 

  9. Baxter, L. M. (1961). Basic geometry and tooth contact of hypoid gears. Industrial Mathematics, 11, 1–28.

    Google Scholar 

  10. Litvin, F. L., & Cutman, Y. (1981). A method of local synthesis of gears grounded on the connection between the principal and geodetic curvatures of surfaces. ASME Journal of Mechanical Design, 103, 114–125.

    Article  Google Scholar 

  11. Litvin, F. L., & Zhang, Y. (1991). Local synthesis and tooth contact analysis of face-milled spiral bevel gears. NASA Lewis Research Center.

  12. Shih, Y. P., & Fong, Z. H. (2007). Flank modification methodology for face-hobbing hypoid gears based on ease-off topography. ASME Journal of Mechanical Design, 12(129), 1294–1302.

    Article  Google Scholar 

  13. Shih, Y. P. (2010). A novel ease-off flank modification methodology for spiral bevel and hypoid gears. Mechanism and Machine Theory, 45(8), 1108–1124.

    Article  Google Scholar 

  14. Shih, Y. P. (2007). Study on the flank modification of face hobbed hypoid gears. National Chung Cheng University.

  15. Standfeld, H. J. (2000). The ultimate motion graph. ASME Journal of Mechanical Design, 9(122), 316–322.

    Google Scholar 

  16. Kolivand, M., & Kahraman, A. (2009). A load distribution model for hypoid gears using ease-off topography and shell theory. Mechanism and Machine Theory, 10(44), 1848–1865.

    Article  Google Scholar 

  17. Kolivand, M., & Kahraman, A. (1946). An ease-off based method for loaded tooth contact analysis of hypoid gears having local and global surface deviations. ASME Journal of Mechanical Design, 132(7), 071004.

    Article  Google Scholar 

  18. Artoni, A., Kolivand, M., & Kahraman, A. (2010). An ease-off based optimization of the loaded transmission error of hypoid gears. ASME Journal of Mechanical Design, 1(132), 011010.

    Article  Google Scholar 

  19. Artoni, A., Gabivvini, M., & Kolivand, M. (2013). Ease-off based compensation of tooth surface deviations for spiral bevel and hypoid gears: Only the pinion needs corrections. Mechanism and Machine Theory, 1(61), 84–101.

    Article  Google Scholar 

  20. Fan, Q. (2016). Ease-off and application in tooth contact analysis for face-milled and face-hobbed spiral bevel and hypoid gears. Springer International Publishing.

  21. Wang, Q., Zhou, C., & Gui, L. J. (2018). Optimization of the loaded contact pattern of spiral bevel and hypoid gears based on a kriging model. Mechanism and Machine Theory, 122, 432–449.

    Article  Google Scholar 

  22. Ding, H., Tang, J. Y., & Zhong, J. (2016). An accurate model of high-performance manufacturing spiral bevel and hypoid gears based on machine setting modification. Journal of Manufacturing Systems, 41, 111–119.

    Article  Google Scholar 

  23. Ding, H., Tang, J. Y., & Zhou, Y. S. (2017). A multi-objective correction of machine settings considering loaded tooth contact performance in spiral bevel gears by nonlinear interval number optimization. Mechanism and Machine Theory, 113, 85–108.

    Article  Google Scholar 

  24. Ding, H., Wan, G., & Zhou, Y. S. (2017). Nonlinearity analysis based algorithm for indentifying machine settings in the tooth flank topography correction for hypoid gears. Mechanism and Machine Theory, 113, 1–21.

    Article  Google Scholar 

  25. Rong, K. B., Ding, H., & Tang, J. Y. (2020). Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 235(2), 0954405420956767.

    Google Scholar 

  26. Mu, Y. M., & Fang, Z. D. (2017). Design and analysis of high contact ratio spiral bevel gears by modified curvature motion method. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 232, 3396–3409.

    Article  Google Scholar 

  27. Mu, Y. M. (2017). An ease-off flank modification method for high contact ratio spiral bevel gears with modified curvature motion. Journal of Advanced Mechanical Design Systems and Manufacturing, 11, JAMDSM00344.

    Article  Google Scholar 

  28. Mu, Y. M., He, X. M., & Fang, Z. D. (2021). An innovative ease-off flank modification method based on the dynamic performance for high-speed spiral bevel gear with high-contact-ratio. Mechanism and Machine Theory, 162, 104345.

    Article  Google Scholar 

  29. Mu, Y. M., & He, X. M. (2021). Design and dynamic performance analysis of high-contact-ratio spiral bevel gear based on the higher-order tooth surface modification. Mechanism and Machine Theory, 161, 104312.

    Article  Google Scholar 

  30. Simon, V. (2009). Loaded tooth contact analysis and stresses in spiral bevel gear, In: Proceedings of ASME design engineering technical conference.

  31. Mu, Y. M., & Fang, Z. D. (2019). Impact analysis and vibration reduction design of spiral bevel gears. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 23, 668–676.

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Acknowledgements

We thank the support from the Fundamental Research Funds for the Central Universities (No. JUSRP12059), the Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology (No. FMZ202021), the National Science Foundation of China (No. 51975251), the Natural Science Foundation of Jiangsu Province (No. BK20160181). We also thank all reviewers and editors for their valuable comments and suggestions.

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Correspondence to Yan-Ming Mu.

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Mu, YM., He, XM. & Fang, ZD. Design and Dynamic Performance Analysis of High-Contact-Ratio Spiral Bevel Gear Based on Ease-off Technology. Int. J. Precis. Eng. Manuf. 22, 1963–1973 (2021). https://doi.org/10.1007/s12541-021-00584-0

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