Skip to main content
SpringerLink
Log in

Design and investigation of a cycloid helical gear drive

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

Abstract

In this paper, an original analysis of the geometric design of a parallel-axis cycloid helical gear drive and an investigation on its basic meshing characteristics are presented. This type of gear drive consists of a pinion with one tooth and a cycloid-helix gear in continuous line contact along the whole length of the tooth. Firstly, mathematical formulations of their tooth surfaces are derived based on the envelope theory and homogeneous coordinate transformation. Secondly, the undercutting analysis is applied to determine the design constraint to avoid the undercutting on the cycloid-helix gear tooth surface. Then, the meshing characteristics including the contact lines, surface of action, induced normal curvature are analyzed. Numerical example is presented to demonstrate the influence of design parameters on the contact stress distribution. Finally, the loaded tooth contact analysis is performed to simulate the tooth contact condition and to validate the stress distribution by the finite element method.

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

Similar content being viewed by others

References

  1. C. B. Tsay and Z. H. Fong, Computer simulation and stress analysis of helical gears with pinion circular arc teeth and gear involute teeth, Mechanism and Machine Theory, 26 (2) (1991) 145–154.

    Article  Google Scholar 

  2. F. L. Litvin and A. Fuentes, Gear geometry and applied theory, Cambridge University Press (2004).

    Book  MATH  Google Scholar 

  3. F. L. Litvin, V. Kin and Y. Zhang, Limitations of conjugate gear tooth surfaces, Journal of Mechanical Design, 112 (2) (1990) 230–236.

    Article  Google Scholar 

  4. C. B. Tsay, Helical gears with involute shaped teeth geometry, computer simulation, tooth contact analysis, and stressanalysis, Journal of Mechanisms Transmissions and Automation in Design Transactions of the ASME, 110 (4) (1988) 482–491.

    Article  Google Scholar 

  5. T. Yeh, D. C. H. Yang and S. H. Tong, Design of new tooth profiles for high-load capacity gears, Mechanism and Machine Theory, 36 (10) (2001) 1105–1120.

    Article  MATH  Google Scholar 

  6. C. F. Chen and C. B. Tsay, Tooth profile design for the manufacture of helical gear sets with small numbers of teeth, International Journal of Machine Tools & Manufacture, 45 (12–13) (2005) 1531–1541.

    Article  Google Scholar 

  7. F. L. Litvin, N. X. Chen, J. Lu and R. F. Handschuh, Computerized design and generation of low-noise helical gears with modified surface topology, Journal of Mechanical Design, 117 (2A) (1995) 254–261.

    Article  Google Scholar 

  8. C. K. Chen and C. Y. Wang, Compensating analysis of a double circular-arc helical gear by computerized simulation of meshing, Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 215 (7) (2001) 759–771.

    Google Scholar 

  9. F. L. Litvin and C. B. Tsay, Helical gears with circular arc teeth simulation of conditions of meshing and bearing contact, Journal of Mechanisms Transmissions and Automation in Design-Transactions of the ASME, 107 (4) (1985) 556–564.

    Article  Google Scholar 

  10. Y. Zhang, Q. Wang, H. Ma, J. Huang and C. Zhao, Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity, Journal of Mechanical Science and Technology, 27 (11) (2013) 3231–3242.

    Article  Google Scholar 

  11. J. Wei, P. Gao, X. Hu, W. Sun and J. Zeng, Effects of dynamic transmission errors and vibration stability in helical gears, Journal of Mechanical Science and Technology, 28 (6) (2014) 2253–2262.

    Article  Google Scholar 

  12. J. Wei, W. Sun and L. Wang, Effects of flank deviation on load distributions for helical gear, Journal of Mechanical Science and Technology, 25 (7) (2011) 1781–1789.

    Article  Google Scholar 

  13. X. S. Xie and H. C. Yang, Kinematic errors on helical gear of triple circular-arc teeth, Journal of Mechanical Science and Technology, 28 (8) (2014) 3137–3146.

    Article  Google Scholar 

  14. M. Liu, C. Zhu, H. Liu and C. Wu, Parametric studies of lubrication performance of a helical gear pair with non-Newtonian fluids, Journal of Mechanical Science and Technology, 30 (1) (2016) 317–326.

    Article  Google Scholar 

  15. H. Zeyin, L. Tengjiao, L. Tianhong, D. Tao and H. Qiguo, Parametric modeling and contact analysis of helical gears with modifications, Journal of Mechanical Science and Technology, 30 (11) (2016) 4859–4867.

    Article  Google Scholar 

  16. S. Oh, S. Oh, J. Kang, I. Lee and S. Lyu, A study on modeling and optimization of tooth microgeometry for a helical gear pair, International Journal of Precision Engineering and Manufacturing, 14 (3) (2013) 423–427.

    Article  Google Scholar 

  17. Q. Zhang, J. Kang, W. Dong and S. Lyu, A study on tooth modification and radiation noise of a manual transaxle, International Journal of Precision Engineering and Manufacturing, 13 (6) (2012) 1013–1020.

    Article  Google Scholar 

  18. S. C. Yang, Mathematical model of a stepped triple circular-arc gear, Mechanism and Machine Theory, 44 (5) (2009) 1019–1031.

    Article  MATH  Google Scholar 

  19. F. L. Litvin, A. Fuentes, I. Gonzalez-Perez, L. Carnevali and T. M. Sep, New version of Novikov-Wildhaber helical gears: computerized design, simulation of meshing and stress analysis, Computer Methods in Applied Mechanics and Engineering, 191 (49–50) (2002) 5707–5740.

    Article  MATH  Google Scholar 

  20. D. Liang, B. K. Chen and Y. N. Gao, The generation principle and mathematical model of a new involute-helix gear drive, Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 227 (12) (2013) 2834–2843.

    Google Scholar 

  21. B. K. Chen, D. Liang and Y. Gao, Geometry design and mathematical model of a new kind of gear transmission with circular arc tooth profiles based on curve contact analysis, Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 228 (17) (2014) 3200–3208.

    Google Scholar 

  22. J. H. Yun, M. S. Jeong, S. K. Lee, J. W. Jeon, J. Y. Park and G. M. Kim, Sustainable production of helical pinion gears: environmental effects and product quality, International Journal of Precision Engineering and Manufacturing Green Technology, 1 (1) (2014) 37–41.

    Article  Google Scholar 

  23. V. V. Stanovskoy, S. M. Kazakyavichyus, T. A. Remneva and V. M. Kuznetsov, Toothed wheel gearing (variants) and a planetary toothed mechanism based thereon (variants), USA Patents US20100095792 A1 (2012).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmission, Chongqing University, No.174, Shazhengjie, Shapingba, Chongqing, 400044, China

    Xuan Li, Chaoyang Li, Bingkui Chen & Dong Liang

Authors
  1. Xuan Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chaoyang Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bingkui Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dong Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chaoyang Li.

Additional information

Recommended by Associate Editor Ki-Hoon Shin

Xuan Li is currently a Ph.D. student at State Key Laboratory of Mechanical Transmission, Chongqing University, China. He spent two years as a Visiting Scholar at University of Cincinnati, USA. His research interests include gear design and dynamics.

Chaoyang Li received his doctor's degree in engineering from the State Key Laboratory of Mechanical Transmission, Chongqing University, China. Dr. Li is currently an Associate Professor in School of Mechanical and Engineering at Chongqing University. His research areas of interest include gear design, optimization and manufacturing.

Bingkui Chen is currently a Professor and Director for the State Key Lab of Mechanical Transmissions at Chongqing University, China. He is also Vice Director of the CMES Gear Technical Committee and a member of the CMES Gear Manufacturing Committee. Prof. Chen has conducted pioneering research related to gear geometry, kinematics, dynamics and manufacturing.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, X., Li, C., Chen, B. et al. Design and investigation of a cycloid helical gear drive. J Mech Sci Technol 31, 4329–4336 (2017). https://doi.org/10.1007/s12206-017-0831-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-017-0831-8

Keywords

Search

Navigation