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The design methodology and characteristics analysis of a uniform-variable non-circular gear drive

  • Jian WangEmail author
  • Jianming Fan
  • Yong Feng
Original Paper
  • 23 Downloads

Abstract

In order to meet the requirements of the ideal kinematics characteristics of the driven gear, a new kind of uniform-variable non-circular gear is proposed. According to the ideal speed curve and acceleration curve, the concept of the uniform-variable non-circular gear is analyzed. The pitch curve equations are derived and the formulas for calculating the gear’s section length and center distance are established. A design procedure is developed and a simplified derivation of the mathematical model is presented. A few characteristics, such as pressure angles, the undercut and the contact ratio, of this new drive are analyzed. The results confirm that the proposed design method is more flexible to control the shape of the pitch curves by changing the parameters of the given speed curve and acceleration curve.

Keywords

Gear drive Uniform-variable non-circular gear Design methodology Pitch curve Transmission characteristics 

Notes

Acknowledgements

The work was supported by the National Natural Science Foundation of China under No. 51205335 and No. 51375411, the Scientific Research for the High Level Talent of Nanjing Institute of Technology under No. YKJ201702. These financial supports are gratefully acknowledged. The authors also sincerely appreciate the comments and modification suggestions made by the editors and anonymous referees.

References

  1. 1.
    Liu, D.W., Ren, T.Z.: Study on deformed limacon gear and motion optimization of its serial mechanism. J. Mech. Des. Trans. ASME 133(6), 061004-1-8 (2011)Google Scholar
  2. 2.
    Tong, S.H., Yang, D.C.H.: Generation of identical noncircular pitch curves. J. Mech. Des. Trans. ASME 120(2), 337–341 (1998)Google Scholar
  3. 3.
    Tsay, M.F., Fong, Z.H.: Study on the generalized mathematical model of noncircular gears. Math. Comput. Model. 41(4), 555–569 (2005)MathSciNetzbMATHGoogle Scholar
  4. 4.
    Liu, D.W., Ren, T.Z.: Creating pitch curve of closed noncircular gear by compensation method. J. Mech. Eng. 47(13), 147–152 (2011)Google Scholar
  5. 5.
    Zhang, X., Fan, S.: Synthesis of the steepest rotation pitch curve design for noncircular gear. Mech. Mach. Theory 102(4), 16–35 (2016)Google Scholar
  6. 6.
    Hector, F.Q.R., Salvador, C.F., Liuisa, J.N.: The synthesis of a N-lobe noncircular gear using Bézier and B-spline nonparametric curve on the design of its displacement law. J. Mech. Des. Trans. ASME 129(9), 982–985 (2007)Google Scholar
  7. 7.
    Li, H.W.: Design of noncircular gears with pitch curves variations through parabola. J. Shandong Univ. Technol. 26(6), 63–65 (2012). (in Chinese) Google Scholar
  8. 8.
    Xu, G.H., Chen, J.N.: Modeling and simulation of fourier section curves of non-circular gear and study on impact of parameters. Hydromechatronics Eng. 41(12), 69–73 (2013)Google Scholar
  9. 9.
    Ottaviano, E., Mundo, D., Danieli, G.A., et al.: Numerical and experimental analysis of non-circular gears and cam-follower systems as function generators. Mech. Mach. Theory 43(8), 996–1008 (2008)zbMATHGoogle Scholar
  10. 10.
    Guo, C.Z., Fu, W., Zhu, J.C., et al.: Design of the pitch curves of noncircular gears for quick return mechanism. Chin. J. Mech. Eng. 141(11), 221–227 (2005). (in Chinese) Google Scholar
  11. 11.
    Niu, S.C., Li, G., Li, G.Y., et al.: The design of new transmission in automatic fixation-shaping machine. J. Agric. Mech. Res. 33(2), 58–61 (2011). (in Chinese) Google Scholar
  12. 12.
    Lei, C.Y., Chen, J.N., Li, P.P., et al.: Reverse design of non-circular gear-crank slider hay baler mechanism. Trans. Chin. Soc. Agric. Eng. 28(13), 22–27 (2012). (in Chinese) Google Scholar
  13. 13.
    Fischer, X., Nadeau, J.P.: Integrated Design and Manufacturing in Mechanical Engineering. Springer, Paris (2011)Google Scholar
  14. 14.
    Lanzotti, A., Carbone, F., Grazioso, S., et al.: A new interactive design approach for concept selection based on expert opinion. Int. J. Interact. Des. Manuf. 12(4), 1189–1199 (2018)Google Scholar
  15. 15.
    Yang, S.C.: Applying envelope theory and deviation function to tooth profile design. Mech. Mach. Theory 42(5), 262–274 (2007)zbMATHGoogle Scholar
  16. 16.
    Chao, L.C., Tsay, C.B.: Tooth flank, undercutting and tooth pointing of spherical gears. Mech. Mach. Theory 46(4), 534–543 (2011)zbMATHGoogle Scholar
  17. 17.
    Kapelevich, A.: Direct Gear Design. CRC Press, Boca Raton (2013)Google Scholar
  18. 18.
    Sekar, R.P., Muthuveerappan, G.: Load sharing based maximum fillet stress analysis of asymmetric helical gears designed through direct design—a parametric study. Mech. Mach. Theory 80(10), 84–102 (2014)Google Scholar
  19. 19.
    Muni, D.V., Kumar, V.S., Muthuveerappan, G.: Optimization of asymmetric spur gear drives for maximum bending strength using direct gear design method. Mech. Based Des. Struct. Mach. 35(2), 127–145 (2007)Google Scholar
  20. 20.
    Marimuthu, P., Muthuveerappan, G.: Design of asymmetric normal contact ratio spur gear drive through direct design to enhance the load carrying capacity. Mech. Mach. Theory 95(1), 22–34 (2016)Google Scholar
  21. 21.
    Wang, J., Hou, L., Luo, S.M., et al.: Active design of tooth profiles using parabolic curve as the line of action. Mech. Mach. Theory 61(9), 47–63 (2013)Google Scholar
  22. 22.
    Wang, J., Luo, S.M., Wu, Y.: A method for the preliminary geometric design of gear tooth profiles with small sliding coefficients. ASME J. Mech. Des. 132(5), 054501-1-8 (2010)Google Scholar
  23. 23.
    Wang, J., Luo, S.M., Su, D.Y.: Active design and characteristics analysis of high contact ratio gears based on pressure angle. J. Cent. South Univ. 45(11), 3792–3799 (2014). (in Chinese) Google Scholar
  24. 24.
    Litvin, F.L., Gonzalez-Perez, I., Fuentes, A., et al.: Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. Comput. Methods Appl. Mech. Eng. 197(45), 3783–3802 (2008)zbMATHGoogle Scholar
  25. 25.
    Litvin, F.L., Fuentes, A.: Gear Geometry and Applied Theory, 2nd edn. Cambridge University Press, Cambridge (2004)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag France SAS, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringNanjing Institute of TechnologyNanjingPeople’s Republic of China
  2. 2.School of Mechanical and Automotive EngineeringXiamen University of TechnologyXiamenPeople’s Republic of China

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