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Calculation and analysis of contact ratio of helical curve-face gear pair

  • Chao LinEmail author
  • Xiaoyong Wu
Technical Paper

Abstract

Helical curve-face gear pair is a new type of gear pair consisting of a helical non-circular gear and a helical curve-face gear, which can transfer the movement of variable transmission ratio between intersecting axes. According to the spatial gear engagement theory and the spatial coordinate transformation theory, the transformation matrix of helical curve-face gear pair and the unit normal of helical cutter are deduced. Based on the meshing theory, the meshing equation of helical curve-face gear pair is built. Equations of instantaneous contact ratio of helical curve-face gear pair are proposed by transforming helical curve-face gear pair into helical non-circular rack and pinion. Besides, the influences of basic parameters of helical cutter and helical curve-face gear pair on contact ratio are analyzed. The tooth surface coordinate data of helical curve-face gear pair is obtained by using the gear measuring center, and the comparison findings between experimental and theoretical results are the experiment data basically agree with the theoretical calculation value, and error is within 5%, so the calculation method of contact ratio is verified.

Keywords

Helical non-circular gear Helical curve-face gear Contact ratio Calculation Analysis 

Notes

Acknowledgements

The author would like to appreciate the supports from the National Natural Science Foundation of China (51675060 and 51275537) and the Chongqing University Postgraduates’ innovation project (CYB15019).

References

  1. 1.
    Lin C, Gong H, Nie N, Zen Q, Zhang L (2012) Geometry design, three-dimensional modeling and kinematic analysis of orthogonal fluctuating gear ratio face gear drive. Proc Inst Mech Eng Part C 227:779–793. doi: 10.1177/0954406212453382 CrossRefGoogle Scholar
  2. 2.
    Gabiccini M, Guiggiani M, Di Puccio F (2004) Geometry and kinematics of face gears mating with a helical involute pinion. Università di Pisa, PisaGoogle Scholar
  3. 3.
    Litvin F, Wang J, Bossler R, Chen Y, Heath G, Lewicki D (1994) Application of face-gear drives in helicopter transmissions. J Mech Design 116:672. doi: 10.1115/1.2919434 CrossRefGoogle Scholar
  4. 4.
    Litvin F, 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. doi: 10.1016/s0094-114x(02)00050-2 CrossRefzbMATHGoogle Scholar
  5. 5.
    Litvin F, Gonzalez-Perez I, Fuentes A, Vecchiato D, Hansen B, Binney D (2005) Design, generation and stress analysis of face-gear drive with helical pinion. Comput Method Appl Mech 194:3870–3901. doi: 10.1016/j.cma.2004.09.006 CrossRefzbMATHGoogle Scholar
  6. 6.
    Tang J, Liu Y (2012) Loaded meshing simulation of face-gear drive with spur involute pinion based on finite element analysis. J Mech Eng 48:124–131 (Chinese) CrossRefGoogle Scholar
  7. 7.
    Li Z, Zhu R (2009) Impact of assembly deflection error on contact characteristics of orthogonal face gear drive. Acta Aeronaut Astronaut Sin 30:1353–1360 (Chinese) Google Scholar
  8. 8.
    Liu D, Ren T, Jin X (2015) Geometrical model and tooth analysis of undulating face gear. Mech Mach Theory 86:140–155. doi: 10.1016/j.mechmachtheory.2014.12.004 CrossRefGoogle Scholar
  9. 9.
    Lin C, Liu Y (2015) Characteristic analysis and application of composite motion curve-face gear pair. J Braz Soc Mech Sci. doi: 10.1007/s40430-015-0432-3 Google Scholar
  10. 10.
    Lin C, Zeng D (2015) Design, generation and tooth width analysis of helical curve-face gear. J Adv Mech Des Syst Manuf. doi: 10.1299/jamdsm.2015jamdsm0066 Google Scholar
  11. 11.
    Lin C, Fan Y, Wang Y, Cao X, Cai Z (2014) A five-axis CNC machining method of orthogonal variable transmission ratio face gear. J Adv Mech Des Syst Manuf. doi: 10.1299/jamdsm.2014jamdsm0040 Google Scholar
  12. 12.
    Litvin F (1994) Gear Geometry and applied theory. Englewood Cliffs, New JerseyzbMATHGoogle Scholar
  13. 13.
    Arakawa A, Emura T (1995) Contact ratio of noncircular gears. Trans Jpn Soc Mech Eng Series C 61:2093–2099. doi: 10.1299/kikaic.61.2093 (Japanese) CrossRefGoogle Scholar
  14. 14.
    Dong J, Tang J (2015) Study on contact ratio calculation of face gear with modification based on gear tooth contact analysis. J Mech Trans 39:8–10 (Chinese) Google Scholar
  15. 15.
    Wang N (2014) The study of bevel non-circular gears’ engagement and transmission. Donghua University, Shanghai (Chinese) Google Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2017

Authors and Affiliations

  1. 1.The State Key Laboratory of Mechanical TransmissionsChongqing UniversityChongqingPeople’s Republic of China

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