Research Article
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Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission

Year 2021, Volume: 5 Issue: 1, 52 - 57, 31.03.2021
https://doi.org/10.30939/ijastech..837414

Abstract

Finite element based tooth contact analysis of a rack and pinion system of an impulse continuously variable transmission is performed in this study. The rack and pinion system are designed with involute profile herringbone tooth profiles. The involute profile herringbone tooth profile is a type of concave-convex pro-files, which can be used for heavy load conditions. A contact load distribution model of the rack gear with involute profile herringbone tooth profiles is devel-oped to analyze normal loads of any mashing position of the rack pinion system based on the minimum elastic potential energy theory. With the aim of improving the rack and pinion system design, the actual operation of gears under the terms of the three-dimensional tooth contact analysis is conducted. A rack gear with herringbone tooth profiles and a pinion are used to tooth contact analysis. Based on comparing the results of this analysis, a new type of rack gears with concave-convex involute tooth profile are advantages and disadvantages in terms of the contact stress.

Supporting Institution

Maryland Energy Innovation Institute

Project Number

Energy Innovation Seed Grant

References

  • Srivastava, N., and Haque, I. (2009). A review on belt and chain continuously variable transmissions (CVT): Dynamics and control. Mechanism and Machine Theory, 44(1), 19-41.
  • Hu, Y. H., Li, G., Zhu, W.D., and Cui, J. K. (2020). An elastic transmission error compensation method for rotary vector speed reducers based on error sensitivity analysis. Applied Sciences, 10(2), 481.
  • Yan, J., Li, G., and Liu K. (2020). Development trend of wind power technology. International Journal of Advanced Engineering Research and Science, 7(6), 124-132.
  • Zhu, Y., and Liu, K. C. (2003). The present situation of research and development of impulse stepless speed variator. Packaging and Food Machinery, 21 (5): 11-14.
  • Li, G. (2020). Design and modeling of an impulse continuously variable transmission with a rotational swashplate. International Journal of Automotive Science and Technology, 4(4), 307-313.
  • Xu, M., Zhang, X., Hu, G., and Li, G. (2016). The structure design and flow field simulation of a fire water monitor driven by worm gear with bevel gear. Machine Tool & Hydraulics, 6, 57-61.
  • Gu, K., Wang, Z. H., Li, G., and Liu, X. R. (2017). Optimization of geometric parameters of the straight conjugate internal gear pump based on GA. Electronic Science and Technology, 30(6), 39-42.
  • Zhang, X. L., Wang, Z. H., and Li, G. (2012). Research on virtual hobbing simulation and study of tooth surface accuracy of involute helical gears. Applied Mechanics and Materials, 155, 601-605.
  • Li, G., Wang, Z. H., Zhu, W. D., and Kubo, A. (2017). A function-oriented active form-grinding method for cylindrical gears based on error sensitivity. International Journal of Advanced Manufacturing Technology, 92(5-8), 3019-3031.
  • Wang, Z. H., Zhu, W. M., Li, G., and Geng, Z. (2014). Optimization of contact line for form-grinding modified helical gears based on neural network. China Mechanical Engineering, 25(12), 1665-1671.
  • Li, G. (2019). An active forming grinding method for cylindrical involute gears based on a second-order transmission error model. SCIREA Journal of Mechanical Engineering, 2(1), 1-14.
  • Li, G., and Zhu, W. D. (2019). An active ease-off topography modification approach for hypoid pinions based on a modified error sensitivity analysis method. ASME Journal of Mechanical Design, 141(9), 093302.
  • Li, G., Wang, Z. H., and Kubo, A. (2017). Error-sensitivity analysis for hypoid gears using a real tooth surface contact model. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231(3), 507-521.
  • Zhang, W. X., Wang, Z. H., Liu, X. R., Li, G., Wan, P. L., and Wang, W. (2017). Research on optimization of temperature measuring point and thermal error prediction method of CNC machine tools. Journal of Shaanxi University of Technology (Natural Science Edition), 33(3), 18-24.
  • Wang, Z. H., Cao, H., Li, G., and Liu, X. R. (2017). Compensation of the radial error of measuring head based on forming grinding machine. Journal of Mechanical Transmission, 41(3), 143-146.
  • Wang, Z. H., Song, X. M., He, W. M., Li, G., Zhu, W. M., and Geng, Z. (2015). Tooth surface model construction and error evaluation for tooth-trace modification of helical gear by form grinding. China Mechanical Engineering, 26(21), 2841-2847.
  • Li, G., Wang, Z. H., and Kubo, A. (2014). Tooth contact analysis of spiral bevel gears based on digital real tooth surfaces. Chinese Journal of Mechanical Engineering, 50(15), 1-11.
  • Wang, Z. H., Wang, J., Ma, P. C., and Li, G. (2014). Dynamic transmission error analysis of spiral bevel gears with actual tooth surfaces. Journal of Vibration and Shock, 33(15), 138-143.
  • Wang, Z. H., Wang, J., Wang, Q. L., and Li, G. (2014). Transmission error of spiral bevel gear based on finite element method. Journal of Vibration and Shock, 33(14), 165-170.
  • Li, G., Wang, Z. H., and Kubo, A. (2016). The modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm. International Journal of Precision Engineering and Manufacturing, 17(3), 281-292.
  • Li, G., and Zhu, W. D. (2021). Design and power loss evaluation of a noncircular gear pair for an infinitely variable transmission. Mechanism and Machine Theory, 156, 104137.
  • van Berkel, K., Hofman, T., Vroemen, B., and Steinbuch, M. (2012). Optimal control of a mechanical hybrid powertrain. IEEE Transactions on Vehicular Technology, 61(2), 485-497.
  • Huang, D. Q., Wang, Z. H., Li, G., and Zhu, W. D. (2019). Conjugate approach for hypoid gears frictional loss comparison between different roughness patterns under mixed elastohydrodynamic lubrication regime. Tribology International, 140, 105884.
  • Li, G., Wang, Z. H., and Zhu, W. D., (2019). Prediction of surface wear of involute gears based on a modified fractal method. ASME Journal of Tribology, 141(3), 031603.
  • Li, G., Wang, Z. H., Geng, Z., and Zhu, W. M. (2015). Modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm. Chinese Journal of Mechanical Engineering, 51(7), 77-84.
  • Wang, Z. H., Yuan, K. K., and Li, G. (2016). Optimization identification for dynamic characteristics parameters of slid-ing joints based on response surface methodology. China Mechanical Engineering, 27(5), 622-626.
  • Hu, Y. H., Li, G., and Hu, A. M. (2019). Iterative optimization of orbital dynamics based on model prediction. Frontiers in Artificial Intelligence and Applications, 320, 76-86.
Year 2021, Volume: 5 Issue: 1, 52 - 57, 31.03.2021
https://doi.org/10.30939/ijastech..837414

Abstract

Project Number

Energy Innovation Seed Grant

References

  • Srivastava, N., and Haque, I. (2009). A review on belt and chain continuously variable transmissions (CVT): Dynamics and control. Mechanism and Machine Theory, 44(1), 19-41.
  • Hu, Y. H., Li, G., Zhu, W.D., and Cui, J. K. (2020). An elastic transmission error compensation method for rotary vector speed reducers based on error sensitivity analysis. Applied Sciences, 10(2), 481.
  • Yan, J., Li, G., and Liu K. (2020). Development trend of wind power technology. International Journal of Advanced Engineering Research and Science, 7(6), 124-132.
  • Zhu, Y., and Liu, K. C. (2003). The present situation of research and development of impulse stepless speed variator. Packaging and Food Machinery, 21 (5): 11-14.
  • Li, G. (2020). Design and modeling of an impulse continuously variable transmission with a rotational swashplate. International Journal of Automotive Science and Technology, 4(4), 307-313.
  • Xu, M., Zhang, X., Hu, G., and Li, G. (2016). The structure design and flow field simulation of a fire water monitor driven by worm gear with bevel gear. Machine Tool & Hydraulics, 6, 57-61.
  • Gu, K., Wang, Z. H., Li, G., and Liu, X. R. (2017). Optimization of geometric parameters of the straight conjugate internal gear pump based on GA. Electronic Science and Technology, 30(6), 39-42.
  • Zhang, X. L., Wang, Z. H., and Li, G. (2012). Research on virtual hobbing simulation and study of tooth surface accuracy of involute helical gears. Applied Mechanics and Materials, 155, 601-605.
  • Li, G., Wang, Z. H., Zhu, W. D., and Kubo, A. (2017). A function-oriented active form-grinding method for cylindrical gears based on error sensitivity. International Journal of Advanced Manufacturing Technology, 92(5-8), 3019-3031.
  • Wang, Z. H., Zhu, W. M., Li, G., and Geng, Z. (2014). Optimization of contact line for form-grinding modified helical gears based on neural network. China Mechanical Engineering, 25(12), 1665-1671.
  • Li, G. (2019). An active forming grinding method for cylindrical involute gears based on a second-order transmission error model. SCIREA Journal of Mechanical Engineering, 2(1), 1-14.
  • Li, G., and Zhu, W. D. (2019). An active ease-off topography modification approach for hypoid pinions based on a modified error sensitivity analysis method. ASME Journal of Mechanical Design, 141(9), 093302.
  • Li, G., Wang, Z. H., and Kubo, A. (2017). Error-sensitivity analysis for hypoid gears using a real tooth surface contact model. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231(3), 507-521.
  • Zhang, W. X., Wang, Z. H., Liu, X. R., Li, G., Wan, P. L., and Wang, W. (2017). Research on optimization of temperature measuring point and thermal error prediction method of CNC machine tools. Journal of Shaanxi University of Technology (Natural Science Edition), 33(3), 18-24.
  • Wang, Z. H., Cao, H., Li, G., and Liu, X. R. (2017). Compensation of the radial error of measuring head based on forming grinding machine. Journal of Mechanical Transmission, 41(3), 143-146.
  • Wang, Z. H., Song, X. M., He, W. M., Li, G., Zhu, W. M., and Geng, Z. (2015). Tooth surface model construction and error evaluation for tooth-trace modification of helical gear by form grinding. China Mechanical Engineering, 26(21), 2841-2847.
  • Li, G., Wang, Z. H., and Kubo, A. (2014). Tooth contact analysis of spiral bevel gears based on digital real tooth surfaces. Chinese Journal of Mechanical Engineering, 50(15), 1-11.
  • Wang, Z. H., Wang, J., Ma, P. C., and Li, G. (2014). Dynamic transmission error analysis of spiral bevel gears with actual tooth surfaces. Journal of Vibration and Shock, 33(15), 138-143.
  • Wang, Z. H., Wang, J., Wang, Q. L., and Li, G. (2014). Transmission error of spiral bevel gear based on finite element method. Journal of Vibration and Shock, 33(14), 165-170.
  • Li, G., Wang, Z. H., and Kubo, A. (2016). The modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm. International Journal of Precision Engineering and Manufacturing, 17(3), 281-292.
  • Li, G., and Zhu, W. D. (2021). Design and power loss evaluation of a noncircular gear pair for an infinitely variable transmission. Mechanism and Machine Theory, 156, 104137.
  • van Berkel, K., Hofman, T., Vroemen, B., and Steinbuch, M. (2012). Optimal control of a mechanical hybrid powertrain. IEEE Transactions on Vehicular Technology, 61(2), 485-497.
  • Huang, D. Q., Wang, Z. H., Li, G., and Zhu, W. D. (2019). Conjugate approach for hypoid gears frictional loss comparison between different roughness patterns under mixed elastohydrodynamic lubrication regime. Tribology International, 140, 105884.
  • Li, G., Wang, Z. H., and Zhu, W. D., (2019). Prediction of surface wear of involute gears based on a modified fractal method. ASME Journal of Tribology, 141(3), 031603.
  • Li, G., Wang, Z. H., Geng, Z., and Zhu, W. M. (2015). Modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm. Chinese Journal of Mechanical Engineering, 51(7), 77-84.
  • Wang, Z. H., Yuan, K. K., and Li, G. (2016). Optimization identification for dynamic characteristics parameters of slid-ing joints based on response surface methodology. China Mechanical Engineering, 27(5), 622-626.
  • Hu, Y. H., Li, G., and Hu, A. M. (2019). Iterative optimization of orbital dynamics based on model prediction. Frontiers in Artificial Intelligence and Applications, 320, 76-86.
There are 27 citations in total.

Details

Primary Language English
Subjects Mechanical Engineering
Journal Section Articles
Authors

Gang Li 0000-0003-2793-4615

Zhi Geng 0000-0002-4513-9984

Project Number Energy Innovation Seed Grant
Publication Date March 31, 2021
Submission Date December 8, 2020
Acceptance Date January 17, 2021
Published in Issue Year 2021 Volume: 5 Issue: 1

Cite

APA Li, G., & Geng, Z. (2021). Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission. International Journal of Automotive Science And Technology, 5(1), 52-57. https://doi.org/10.30939/ijastech..837414
AMA Li G, Geng Z. Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission. ijastech. March 2021;5(1):52-57. doi:10.30939/ijastech.837414
Chicago Li, Gang, and Zhi Geng. “Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission”. International Journal of Automotive Science And Technology 5, no. 1 (March 2021): 52-57. https://doi.org/10.30939/ijastech. 837414.
EndNote Li G, Geng Z (March 1, 2021) Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission. International Journal of Automotive Science And Technology 5 1 52–57.
IEEE G. Li and Z. Geng, “Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission”, ijastech, vol. 5, no. 1, pp. 52–57, 2021, doi: 10.30939/ijastech..837414.
ISNAD Li, Gang - Geng, Zhi. “Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission”. International Journal of Automotive Science And Technology 5/1 (March 2021), 52-57. https://doi.org/10.30939/ijastech. 837414.
JAMA Li G, Geng Z. Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission. ijastech. 2021;5:52–57.
MLA Li, Gang and Zhi Geng. “Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission”. International Journal of Automotive Science And Technology, vol. 5, no. 1, 2021, pp. 52-57, doi:10.30939/ijastech. 837414.
Vancouver Li G, Geng Z. Tooth Contact Analysis of Herringbone Rack Gears of an Impulse Continuously Variable Transmission. ijastech. 2021;5(1):52-7.


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