Skip to main content
Log in

Investigation of temperature effect on stress of flexspline

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The effect of temperature loading on the stress of a flexspline is investigated. Based on the geometric and mechanical characteristics of the harmonic gear flexspline, a circular thin shell model is presented in this paper. The theoretical solution for the flexspline under different displacement loads and different temperature fields is derived. Meanwhile, an impact factor formula, which reflects the effect of the temperatures of the inner and outer surfaces of the flexspline on the stress of the flexspline, is presented. Finally, numerical calculations by the finite element method (FEM) are adopted to verify the corresponding conclusions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Wand, C. M., Yang, P., and Zhang, L. Y. Summary of status on the harmonic gear driving technology. Journal of Mechanical Transmission, 30(4) 86–88 (2006)

    Google Scholar 

  2. Baumgartner, E. T., Bonitz, R. G., Melko, J. P., Shiraishi, L. R., and Leger, P. C. The mars exploration rover instrumentpositioning system. Proceedings, 2005 IEEE Aerospace Conference, Big Sky, Montana (2005)

    Google Scholar 

  3. Shen, Y. W. and Ye, Q. T. Theory and Design of the Harmonic Gear Drive (in Chinese), China Machine Press, Beijing (1985)

    Google Scholar 

  4. Oguz, K. and Fehmi, E. Shape optimization of tooth profile of a flexspline for a harmonic drive by finite element modeling. Materials and Design, 28, 441–447 (2007)

    Article  Google Scholar 

  5. Ostapski, W. and Mukha, I. Stress state analysis of harmonic drive elements by FEM. Bulletin of the Polish Academy of Sciences, 55, 115–123 (2007)

    MATH  Google Scholar 

  6. Ostapski, W. Analysis of the stress state in the harmonic drive enerator-flexspline system in relation to selected structural parameters and manufacturing deviations. Bulletin of the Polish Academy of Sciences, 58, 683–698 (2010)

    MATH  Google Scholar 

  7. Matyushin, E. G. and Kryzhanovskii, V. K. Friction and wear in metallic and polymer pairs of harmonic gears. Izvestiya Vysshikh Uchebnykh Zavedenii, Mashinostroenie, 2, 25–30 (1974)

    Google Scholar 

  8. Jeon, H. S and Oh, S. H. A study on stress and vibration analysis of a steel and hybrid flexspline for harmonic drive. Composite Structures, 47, 827 (1999)

    Article  Google Scholar 

  9. Folega, P. and Siwiec, G. Numerical analysis of selected materials for flexsplines. Archives of Metallurgy and Materials, 51, 185–191 (2012)

    Google Scholar 

  10. Li, B. Orthogonal experiment analysis on transmission performance of space lubricated harmonic drive. Journal of Mechanical Engineering, 48, 82–87 (2012)

    Article  Google Scholar 

  11. Vassileva, D., Kiyosawa, Y., and Suzuki, M. Sensorless torque control for a robot with harmonic drive reducers. Mechanics Based Design of Structures and Machines, 39, 253–267 (2011)

    Article  Google Scholar 

  12. Priimakov, A. G. and Rudnitskii, V. I. Experimental determination of temperature deformations of metal-polymer flexible wheels in harmonic transmissions. Soviet Engineering Research, 7, 9–11 (1987)

    Google Scholar 

  13. Chen, J., Wang, J. X., Ma, L., and Wang, H. Static analysis of filter reducer considering the thermal field effect (in Chinese). Machinery Design & Manufacture, 12, 10–12 (2012)

    Google Scholar 

  14. Kayabasi, O. and Erzincanli, F. Shape optimization of tooth profile of a flexspline for a harmonic drive by finite element modeling. Materials and Design, 28, 441–447 (2007)

    Article  Google Scholar 

  15. Chen, X. X., Lin, S. Z., and Xing, J. Z. Modeling of flexspline and contact analyses of harmonic drive. Key Engineering Materials, 597–600 (2010)

    Google Scholar 

  16. Zhang, R. and Yang, J. J. Virtual modeling and finite element analysis of flexspline based on solidworks. Applied Mechanics and Materials, 86, 218–221 (2011)

    Article  Google Scholar 

  17. He, W. and Dong, H. J. Flexspline stress analysis considering thermal field effect by FEM (in Chinese). Mechanical Science and Technology for Aerospace Engineering, 28, 955–959 (2009)

    Google Scholar 

  18. Pan, F., Dong, H. J., and Ge, W. J. Backlash analysis on the harmonic wave gear transmission under extreme environment (in Chinease). Journal of Machine Design, 27, 58–62 (2010)

    Google Scholar 

  19. Gao, H. B., Li, Z. G., and Deng, Z. Q. Sensitivity analysis of cup-shaped flexible gear parameters to its stress based on ANSYS. Journal of Mechanical Engineering, 46, 1–7 (2010)

    Article  Google Scholar 

  20. Fan, X. J. and Chen, G. G. On coupling theory of thermoelasticity (in Chinese). Mechanics Advances, 12, 339–345 (1982)

    Google Scholar 

  21. Yan, Z. D. and Wang, H. L. Thermal Stress (in Chinese), Higher Education Press, Beijing (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zheng-nan Yin  (尹征南).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10972128 and 11142004) and the Shanghai Leading Academic Discipline Project (No. S30106)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xiang, Q., Yin, Zn. Investigation of temperature effect on stress of flexspline. Appl. Math. Mech.-Engl. Ed. 35, 791–798 (2014). https://doi.org/10.1007/s10483-014-1829-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-014-1829-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Navigation