Skip to main content
SpringerLink
Log in

Investigation of assembly, power direction and load sharing in concentric face gear split-torque transmission system

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

As a special transmission mechanism used in aeronautical transmission field, a concentric face gear split-torque transmission system (CFGSTTS) is investigated in this study, with the focus on the work performances of the system including assembly, power direction and load sharing. Considering the complicated layout with multiple asymmetric power branches, the assembly condition of CFGSTTS is deduced and validated. To simulate this closed-loop system whose power directions are unknown in advance, a new finite element model which greatly differs from the conventional model in analytical step, boundary condition and grid division is developed. By the application of the new model, the power directions of branches in CFGSTTS are determined. On the premise of meeting the assembly conditions, the effect of factors including load condition, distribution angle, layout form and the number of idlers on power directions in CFGSTTS is researched, and the impact of those factors on load sharing is also explored. The results reveal that the power directions in CFGSTTS are alterable, and the load sharing coefficients are affected obviously by structural parameters.

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
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21

Similar content being viewed by others

References

  1. Krantz TL, Delgado IR (1996) Experimental study of split-path transmission load sharing. NASA Tech Memo 107202:1–11

    Google Scholar 

  2. Litvin FL, Wang JC, Bossier RB Jr, Chen Y-JD, Heath G, Lewicki DG (1992) Application of face-gear drives in helicopter transmissions. NASA Tech Memo 105655:1–10

    Google Scholar 

  3. Litvin FL, Wang JC (1992) Face-gear drives: design, analysis, and testing for helicopter transmission applications. NASA Tech Memo 106101:1–18

    Google Scholar 

  4. Litvin FL, Fuentes A, Zanzi C (2002) Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis. Comput Methods Appl Mech Eng 191:1–18

    MATH  Google Scholar 

  5. Litvin FL, Fuentes A, Zanzi C, Pontiggia M (2002) Design, generation, and stress analysis of two versions of geometry of face-gear drives. Mech Mach Theory 37:1179–1211

    Article  Google Scholar 

  6. Litvin FL (1994) Gear geometry and applied theory. Prentice-Hall, Englewood

    MATH  Google Scholar 

  7. Zhou Y, Wu Y, Wang L, Tang J, Ouyang H (2019) A new closed-form calculation of envelope surface for modeling face gears. Mech Mach Theory 137:211–226

    Article  Google Scholar 

  8. Zhou Y, Wang S, Wang L, Tang J, Chen ZC (2019) CNC milling of face gears with a novel geometric analysis. Mech Mach Theory 139:46–65

    Article  Google Scholar 

  9. Liu DW, Ren TZ, Jin X (2015) Geometrical model and tooth analysis of undulating face gear. Mech Mach Theory 86:140–155

    Article  Google Scholar 

  10. Liu DW, Wang GH, Ren TZ (2017) Transmission principle and geometrical model of eccentric face gear. Mech Mach Theory 109:51–64

    Article  Google Scholar 

  11. Feng G, Xie Z, Zhou M (2019) Geometric design and analysis of face-gear drive with involute helical pinion. Mech. Mach. Theory 134:169–196

    Article  Google Scholar 

  12. Lin C, He CJ, Hu YN (2018) Analysis on the kinematical characteristics of compound motion curve-face gear pair. Mech Mach Theory 128:298–313

    Article  Google Scholar 

  13. Tang JY, Yin F, Chen XM (2013) The principle of profile modified face-gear grinding based on disk wheel. Mech Mach Theory 70:1–15

    Article  Google Scholar 

  14. Kawasaki K, Tsuji I, Gunbara H (2018) Geometric design of a face gear drive with a helical pinion. J Mech Sci Technol 32:1653–1659

    Article  Google Scholar 

  15. Guo H, Gonzalez I, Fuentes A (2019) Computerized generation and meshing simulation of face gear drives manufactured by circular cutters. Mech Mach Theory 133:44–63

    Article  Google Scholar 

  16. Shen YB, Liu X, Li DY, Li ZP (2018) A method for grinding face gear of double crowned tooth geometry on a multi-axis CNC machine. Mech Mach Theory 121:460–474

    Article  Google Scholar 

  17. Chen S, Tang J, Chen W, Hu Z, Cao M (2014) Nonlinear dynamic characteristic of a face gear drive with effect of modification. Meccanica 49:1023–1037

    Article  MathSciNet  Google Scholar 

  18. Montestruc ANPE (2011) Influence of planet pin stiffness on load sharing in planetary gear drives. J Mech Des 133:1–7

    Article  Google Scholar 

  19. Iglesias M, Fernandez del Rincon A, De-Juan A, Garcia P, Diez-Ibarbia A, Viadero F (2017) Planetary transmission load sharing: manufacturing errors and system configuration study. Mech Mach Theory 111:21–38

    Article  Google Scholar 

  20. Hong J, Talbot D, Kahraman A (2015) Effects of tooth indexing errors on load distribution and tooth load sharing of splines under combined loading conditions. J Mech Des 137:1–10

    Article  Google Scholar 

  21. Krantz TL (1996) A method to analyze and optimize load sharing of split path transmission. NASA Tech Memo 107201:1–22

    Google Scholar 

  22. Parker RG, Lin J (2004) Mesh phasing relationships in planetary and epicyclic gears. J Mech Des 126:365–374

    Article  Google Scholar 

  23. Singh A (2005) Application of a system level model to study the planetary load sharing behavior. J Mech Des 127:469–476

    Article  Google Scholar 

  24. Marques P, Martins R, Seabra J (2017) Analytical load sharing and mesh stiffness model for spur/helical and internal/external gears-towards constant mesh stiffness gear design. Mech Mach Theory 113:16–140

    Article  Google Scholar 

  25. Cao Z, Shao Y, Zuo MJ, Liang XH (2015) Dynamic and quasi-static modeling of planetary gear set considering carrier misalignment error and varying line of action along tooth width. J Mech Eng Sci 229:1348–1360

    Article  Google Scholar 

  26. Leque N, Kahraman A (2017) A three-dimensional load sharing model of planetary gear sets having manufacturing errors. J Mech Des 139:1–11

    Article  Google Scholar 

  27. Macor A, Rossetti A (2011) Optimization of hydro-mechanical power split transmissions. Mech Mach Theory 46:1901–1919

    Article  Google Scholar 

  28. Montestruc AN (2010) A numerical approach to calculation of load sharing in planetary gear drives. J Mech Des 132:1–4

    Article  Google Scholar 

  29. Mo S, Zhang Y, Wu Q (2015) Research on multiple-split load sharing of two-stage star gearing system in consideration of displacement compatibility. Mech Mach Theory 88:1–15

    Article  Google Scholar 

  30. Mo S, Ma S, Jin G, Zhang Y, Lv C, Houjoh H (2017) Research on multiple-split load sharing characteristics of 2-stage external meshing star gear system in consideration of displacement compatibility. Math Probl Eng 2017:1–9

    Article  Google Scholar 

  31. Marimuthu P, Muthuveerappan G (2016) Investigation of load carrying capacity of asymmetric high contact ratio spur gear based on load sharing using direct gear design approach. Mech Mach Theory 96:52–74

    Article  Google Scholar 

  32. Hon-Wai Chun, Robert Filler, Jie Tan (2006) Analytical determination of load distribution in a statically indeterminate face gear transmission. In: The AHS 62th Annual Forum May, pp 9–11

  33. Jie Tan (2003) face gearing with a conical involute pinion. In: ASME 2003 design engineering technical conferences and computers and information in engineering conferences, pp 2–6

  34. Litvin FL, Fuentes A, Fan Q, Handschuh RF (2002) Computerized design, simulation of meshing, and contact and stress analysis of face-milled formate generated spiral bevel gears. Mech Mach Theory 37:441–459

    Article  Google Scholar 

  35. Litvin FL, Perez IG, Fuentes A, Vecchiato D, Hansen BD, Binney D (2005) Design, generation and stress analysis of face-gear drive with helical pinion. Comput Methods Appl Mech Eng 194:3870–3901

    Article  ADS  Google Scholar 

  36. Litvin FL, Vecchiato D, Gurovich E, Fuentes A, Perez IG, Hayasaka K, Yukishima K (2005) Computerized developments in design, generation, simulation of meshing, and stress analysis of gear drives. Meccanica 40:291–324

    Article  Google Scholar 

  37. Litvin FL, Nava A, Fan Q, Fuentes A (2002) New geometry of face worm gear drives with conical and cylindrical worms: generation, simulation of meshing, and stress analysis. Comput Methods Appl Mech Eng 191:3035–3054

    Article  ADS  Google Scholar 

  38. Chang L, Liu G, Wu L (2015) A robust model for determining the mesh stiffness of cylindrical gears. Mech Mach Theory 87:93–114

    Article  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the support of the National Key Research and Development Program of China through Grant No. 2017YFB1300702. The authors gratefully acknowledge the support of the National Natural Science Foundation of China (NSFC) through Grants Nos. 51535012, U1604255, and the support of the Key Research and Development Project of Hunan province through Grant No. 2016JC2001.

Author information

Authors and Affiliations

  1. Light Alloy Research Institute, Central South University, Changsha, 410083, China

    Jianxiong Dong

  2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Jinyuan Tang

  3. School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Zehua Hu

Authors
  1. Jianxiong Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jinyuan Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zehua Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zehua Hu.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

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

Dong, J., Tang, J. & Hu, Z. Investigation of assembly, power direction and load sharing in concentric face gear split-torque transmission system. Meccanica 54, 2485–2506 (2019). https://doi.org/10.1007/s11012-019-01078-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-019-01078-0

Keywords

Search

Navigation