Skip to main content
SpringerLink
Log in

Design of high power density for RV reducer

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

Rotate vector (RV) reducer is widely used in precision transmission field. In this paper, the high power density is introduced into the design of RV reducer. Firstly, analysis of relevant motion relations for RV reducer is given, which provides a theoretical basis for the later calculation of efficiency and volume. Secondly, meshing efficiency model of spur gear pair and cycloidal pin-gear pair is deduced. Based on the virtual power theory, a calculation method of transmission efficiency for RV reducer is introduced. Meshing efficiency of single pair of gears obtained by calculation is adopted in the model of transmission efficiency instead of the previous fix value. At the same time, the volume model of spur gear and cycloidal gear is given, and the volume model of RV reducer is built. Finally, minimum power loss and minimum volume are taken as objective functions, the optimal variables, constraints condition and optimization method are determined, and then the design of high power density for RV reducer is implemented. Three examples are provided to illustrate the proposed method. The results show that the power loss of RV reducer are reduced by 16.97%, 12.78%, 11.12%, respectively, and the volume of RV reducer are reduced by 20.62% 21.2% 28.32%, respectively.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Li T, Tian M, Hang Xu, Deng X, Jianxin Su (2020) Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error. J Braz Soc Mech Sci Eng 42:133. https://doi.org/10.1007/s40430-020-2208-7

    Article  Google Scholar 

  2. De Gevigney J, Durand F, Ville C, Changenet PV (2013) Tooth friction losses in internal gears: analytical formulation and applications to planetary gears. Proc IMechE Part J: J Eng Tribol 225:476–485. https://doi.org/10.1177/1350650112470059

    Article  Google Scholar 

  3. Laus LP, Simas H, Martins D (2012) Efficiency of gear trains determined using graph and screw theories. Mech Mach Theory 52:296–325. https://doi.org/10.1016/j.mechmachtheory.2012.01.011

    Article  Google Scholar 

  4. Yang F, Feng J, Zhang H (2015) Power flow and efficiency analysis of multi-flow planetary gear trains. Mech Mach Theory 92:86–99. https://doi.org/10.1016/j.mechmachtheory.2015.05.003

    Article  Google Scholar 

  5. Ahmadizadeh P, Mashadi B (2017) Power flow and efficiency analysis of the EM power split mechanism. J Braz Soc Mech Sci Eng 39:1947–1955. https://doi.org/10.1007/s40430-016-0582-y

    Article  Google Scholar 

  6. Salgado DR, Del Castillo JM (2014) Analysis of the transmission ratio and efficiency ranges of the four-, five-, and six-link planetary gear trains. Mech Mach Theory 73:218–243. https://doi.org/10.1016/j.mechmachtheory.2013.11.001

    Article  Google Scholar 

  7. Wang C, Cui H-Y (2013) The analysis of power circulation and the simplified expression of the transmission efficiency of 2K-H closed epicyclic gear trains. Meccanica 48:1071–1080. https://doi.org/10.1007/s11012-012-9652-0

    Article  MATH  Google Scholar 

  8. Chen C, Angeles J (2007) Virtual-Power Flow and Mechanical Gear-Mesh Power Losses of Epicyclic Gear Trains. ASME J Mech Des 129:107–113

    Article  Google Scholar 

  9. Chen C, Liang TT (2011) Theoretic Study of Efficiency of Two-DOFs of Epicyclic Gear Transmission via Virtual Power. ASME J Mech Des. https://doi.org/10.1115/1.4003568

    Article  Google Scholar 

  10. Chen C, Chen J (2015) Efficiency analysis of two degrees of freedom epicyclic gear transmission and experimental validation. Mech Mach Theory 87:115–130. https://doi.org/10.1016/j.mechmachtheory.2014.12.017

    Article  Google Scholar 

  11. Huayan Pu, Zhao J, Sun Yi, Ma S, Gong Z (2013) Efficiency analysis of epicyclic gear mechanism of the improved paddle mechanism via virtual power. Proc. of the IEEE Intl. Conf on Robotics and Biomimetics 1:2239–2244

    Google Scholar 

  12. Davies K, Chen C, Chen BK (2012) Complete Efficiency Analysis of Epicyclic Gear Train With Two Degrees of Freedom. ASME J Mech Des. https://doi.org/10.1115/1.4006526

    Article  Google Scholar 

  13. Pawelski Z, Uszpolewicz ZZG, Ormezowski GMJ (2018) Impact of the geometry accuracy of the cycloidal gear output shaft with pins of the efficiency and vibrations. Journal of KONES Powertrain and Transport 25:237–245

    Google Scholar 

  14. Pham AD, Ahn HJ (2017) Efficiency Analysis of a Cycloid Reducer Considering Tolerance. Journal of Friction and Wear 38:490–496

    Article  Google Scholar 

  15. Wang J, Luo S, Deyu Su (2016) Multi-objective optimal design of cycloid speed reducer based on genetic algorithm. Mech Mach Theory 102:135–148. https://doi.org/10.1016/j.mechmachtheory.2016.04.007

    Article  Google Scholar 

  16. A. Mihailidis, E. Athanasopoulos, E. Okkas (2014) Efficiency of a cycloid reducer. International Gear Conference, Lyon.

  17. Wang C (2019) Calculation method of meshing efficiency of spur gear pair based on meshing line integral. Journal of Shaanxi University of Technology 35:17–21 ((in China))

    Google Scholar 

  18. Yokota T, Taguchi T, Gen M (1998) A solution method for optimal weight design problem of the gear using genetic algorithms. Comput Ind Eng 35:523–526. https://doi.org/10.1016/S0360-8352(97)00044-2

    Article  Google Scholar 

  19. Savsani V, Rao RV, Vakharia DP (2010) Optimal weight design of a gear train using particle swarm optimization and simulated annealing algorithms. Mech Mach Theory 45:531–541. https://doi.org/10.1016/j.mechmachtheory.2009.10.010

    Article  MATH  Google Scholar 

  20. Chong TH, Bae I, Park GJ (2002) A new and generalized methodology to design multi stage gear drives by integrating the dimensional and configuration design process. Mech Mach Theory 37:295–310. https://doi.org/10.1016/S0094-114X(01)00078-7

    Article  MATH  Google Scholar 

  21. Marjanovic N, Isailovic B, Marjanovic V, Milojevic Z, Blagojevic M, Bojic M (2012) A practical approach to the optimization of gear trains with spur gears. Mech Mach Theory 53:1–16. https://doi.org/10.1016/j.mechmachtheory.2012.02.004

    Article  Google Scholar 

  22. Wang C, Shen T-T (2015) Study on volume modeling in process of volume optimization of helical gear. Journal of Yanshan University 39:16–21 ((in China))

    Google Scholar 

  23. Cheng W (2019) High power density design for planetary gear transmission system. Journal of Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233(16): 5647-5658. https://doi.org/10.1177/0954406219850212

  24. Jing-yu Z, Ju-jiang C (2017) Multi-objective optimization design of the RV reducer. J Shaanxi Univ Sci Technol 35:145–148

    Google Scholar 

  25. Cheng W (2021) A calculation method of transmission efficiency for RV reducer. J Eng Res (accepted)

  26. Benedict GH, Kelley BW (1961) Instantaneous coefficients of gear tooth friction. ASLE Trans 4:59–70. https://doi.org/10.1080/05698196108972420

    Article  Google Scholar 

  27. Wang C (2019) Volume models for different structures of spur gear. Aust J Mech Eng 17:145–153. https://doi.org/10.1080/14484846.2017.1381373

    Article  Google Scholar 

  28. Suzhen Wu, Weidong He, Zhuo C, Zhenbo J (2014) Study of the simulation of technology of RV reducer virtual prototype. Mech Transm 38:20–23 ((in China))

    Google Scholar 

  29. The Directed committee of Gear notebook (2002) Gear notebook, 2nd edn. China Machine Press, Beijing

    Google Scholar 

  30. Yang Weipeng (2018) Research on mechanical modeling and transmission accuracy of robot joint RV reducer. MS thesis, the South China University of Technology, Guangzhou, Guangdong.

Download references

Acknowledgements

The research obtains the financial support of Natural Science Foundation of Shandong Province (Grant No. ZR2020ME118).

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, University of Jinan, Jinan, 250022, China

    Cheng Wang

  2. School of Engineering, The University of Warwick, Coventry, CV4 7AL, UK

    Ken Mao

Authors
  1. Cheng Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ken Mao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Cheng Wang.

Additional information

Technical Editior: Zilda de Castro Silveira.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, C., Mao, K. Design of high power density for RV reducer. J Braz. Soc. Mech. Sci. Eng. 43, 291 (2021). https://doi.org/10.1007/s40430-021-03011-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-021-03011-7

Keywords

Search

Navigation