Skip to main content
Log in

An investigation on the influence of modification parameters on transmission characteristics of planetary gear system

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

A new gear tooth modification model of planetary gear system was established by considering the characteristics of tooth longitudinal crowning modification and tooth profile modification. Using this model, the influences of modification parameters on the time-varying mesh stiffness, transmission error, contact spots and dynamic response of the planetary gear system were analyzed through numerical analysis. The results show that tooth profile modification can effectively restrain the mesh stiffness sudden variation in the single and double tooth alternation of both the internal and external mesh pairs, and significantly decrease the transmission error fluctuation. However, longitudinal crowning modification has no marked influence on mesh stiffness sudden variation or transmission error fluctuation. The tooth profile modification can significantly reduce the sudden variation of tooth surface load during gear mesh course. Longitudinal crowning modification can make the tooth surface load evenly distributed in tooth width direction. When the external meshing pairs are modified at the tooth profile individually, the magnitude values of main response resonance peaks of internal meshing pairs have a great reduction, but those values of external meshing pairs change slightly. In the case of tooth profile modification of the internal meshing pairs, the phenomenon is reversed. By contrast with tooth profile modification, longitudinal crowning modification has little influence on the resonance peaks of internal and external meshing pairs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Wu, M. Zuo and A. Parey, Simulation of spur gear dynamics and estimation of fault growth, J. of Sound and Vibration, 317(3-5) (2008) 608–624.

    Article  Google Scholar 

  2. M. T. Khabou et al., Study of a spur gear dynamic behavior in transient regime, Mechanical Systems and Signal Processing, 25(8) (2011) 3089–3101.

    Article  Google Scholar 

  3. M. S. Takakoli and D. R. Houser, Optimum profile modifications for the minimization of static transmission errors of spur gears, J. of Mechanisms Transmissions and Automation in Design, 108(1) (1986) 86–95.

    Article  Google Scholar 

  4. K. Ohno and N. Tanaka, Contact stress analysis for helical gear with 3-dimensional finite element method. The profile correction amount to reduce the PV factor of helical gear teeth, Transactions of the Japan Society of Mechanical Engineers Series C, 64(628) (1998) 4821–4826.

    Google Scholar 

  5. Z. Chen and Y. Shao, Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack, Mechanism and Machine Theory, 62 (2013) 63–74.

    Article  Google Scholar 

  6. X. Xu et al., Research on dynamical characteristics of planetary gear system with tooth pitting, J. of Vibroengineering, 18(7) (2016) 4419–4429.

    Article  Google Scholar 

  7. Y. A. Tesfahunegn, F. Rosa and C. Gorla, The effects of the shape of tooth profile modifications on the transmission error bending, and contact stress of spur gears, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224(8) (2011) 1749–1758.

    Google Scholar 

  8. X. Wang et al., Multi-objective optimization modification of a tooth surface with minimum of flash temperature and vibration acceleration RMS, J. of Mechanical Science and Technology, 32(7) (2018) 3097–3106.

    Article  Google Scholar 

  9. A. Kahraman and G. W. Blanlkenship, Effect of involute tip relief on dynamic response of spur gear pairs, J. of Mechanical Design, 121(2) (1999) 313–315.

    Article  Google Scholar 

  10. A. Kahraman and G. W. Blanlkenship, Gear dynamics experiments, Part-III: Effect of involute tip relief, ASME Power Transmission and Gearing Conf., 88 (1996) 389–391.

    Google Scholar 

  11. A. S. Pramono, Experimental study of the influence of tooth profile modifications on spur gear dynamic strain and vibration, Key Engineering Materials, 306–308 (2006) 79–84.

    Article  Google Scholar 

  12. G. Liu and R. G. Parker, Dynamic modeling and analysis of tooth profile modification for multimesh gear vibration, J. of Mechanical Design, 130(12) (2008) 121402 (1–13).

    Article  Google Scholar 

  13. S. Liu et al., Effects of tooth modifications on mesh characteristics of crossed beveloid gear pair with small shaft angle, Mechanism and Machine Theory, 119 (2018) 142–160.

    Article  Google Scholar 

  14. S. Wang et al., Effects of gear modifications on the dynamic characteristics of wind turbine gearbox considering elastic support of the gearbox, J. of Mechanical Science and Technology, 31(3) (2017) 1079–1088.

    Article  Google Scholar 

  15. M. Feng et al., An improved analytical method for calculating time-varying mesh stiffness of helical gears, Meccanica, 53(4-5) (2018) 1131–1145.

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank Project Nos. 2018YFB 2001300 supported by the National Key R&D Projects of China, Nos. 51775060 supported by the National Natural Science Foundation of China, Nos. cstc2018jcyjAX0087 supported by the Chongqing Research Program of Frontier and Application Foundation, and Nos. cstc2017rgzn-zdyfX0038 of Key Research and Development Project in Chongqing.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiangyang Xu.

Additional information

Recommended by Associate Editor Hyeong-Joon Ahn

Xiangyang Xu received his B.S. in mechanical engineering from Zhengzhou University, Zhengzhou, China, in 2004. He then received his M.S. and PhD. in mechanical engineering from Chongqing University, Chongqing, China, in 2009 and 2012. He has been an Associate Professor at Chongqing Jiao-tong University since 2014. His research interests include mechanical transmission theory, experiments and its application.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xu, X., Fan, X., Diao, P. et al. An investigation on the influence of modification parameters on transmission characteristics of planetary gear system. J Mech Sci Technol 33, 3105–3114 (2019). https://doi.org/10.1007/s12206-019-0605-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-019-0605-6

Keywords

Navigation