Journal of Mechanical Science and Technology

, Volume 32, Issue 11, pp 5089–5096 | Cite as

Driving shaft fatigue optimization design of Ω type profile twin-screw pumps

  • Zhi-Jie LiuEmail author
  • Yu-Chong Zhao
  • Zhi-Qiang Gan
  • Dong-Lin Hui


Under changeable pumped medium and working environment, the twin-screw pump is prone to be broken by fatigue failures. A structure optimization design model and method of the driving shaft are presented based on response surface methodology and finite element analysis. In this model, the shaft diameter, chamfering degree and the shaft extension of the power end are selected as optimization variables, the limit values of the variables and maximal normal deformation of the spindle are considered as the constraint conditions, and the minimization of the equivalent alternating stress on the dangerous shaft section is taken as the optimization objective so as to improve the shaft fatigue reliability. The optimization results of a case show that the equivalent alternating stress on the dangerous spindle section reduces by 26.2 %, and the maximal normal deformation decreases by 25.2 % compared with the original design. In addition, the infinite life reliability and fatigue safety factors both meet the design requirements.


Twin-screw pump Fatigue life Fatigue reliability design Driving shaft design Response surface methodology 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    P. Gambhire, P. Pawar and S. B. Naik, Theoretical fatigue analysis of lubricating oil pump rotor shaft, International Journal of Engineering and Innovative Technology, 2 (10) (2013) 201–205.Google Scholar
  2. [2]
    A. Ince and G. Glinka, A generalized fatigue damage parameter for multiaxial fatigue life prediction under proportional and non–proportional loadings, International Journal of Fatigue, 62 (2) (2014) 34–41.CrossRefGoogle Scholar
  3. [3]
    S. Shawki, Early failure of high pressure screw pumps: Shaft fracture, Journal of Failure Analysis and Prevention, 13 (5) (2013) 595–600.CrossRefGoogle Scholar
  4. [4]
    S. J. Wu and Y. L. Xu, Analysis of fatigue for light vehicle gear box main shaft based on ANSYS, Tractor & Farm Transporter, 35 (5) (2008) 32–33.Google Scholar
  5. [5]
    X. G. Wu, B. L. Zheng and Q. Yang, Application of damage summation to fatigue analysis of crank shaft, Journal of Tongji University (Natural Science), 36 (5) (2008) 655–658.Google Scholar
  6. [6]
    J. Du, X. H. Niu and Y. L. He, Fatigue analysis on mainshaft in MW level wind turbine, Casting Forging Welding, 40 (23) (2011) 211–216.Google Scholar
  7. [7]
    G. J. Hu, Thermal fatigue analysis of main shaft of nuclear pump, Dalian University of Technology, Dalian, China (2012).Google Scholar
  8. [8]
    R. A. Gujar and S. V. Bhaskar, Shaft design under fatigue loading by using modified goodman method, International Journal of Engineering Research and Applications, 3 (4) (2013) 1061–1066.Google Scholar
  9. [9]
    D. P. Li, J. Xue and X. Liu, Fatigue analysis of the screw conveyor shaft based on S–N curve, Railway Construction Technology, 10 (2014) 107–109.Google Scholar
  10. [10]
    C. J. Tang, J. Zhang and J. Li, Fatigue analysis of transmission gear shaft based on Workbench, Automobile Applied Technology, 1 (2) (2014) 1–4.Google Scholar
  11. [11]
    N. N. Sun, G. X. Li and S. Z. Bai, Analysis of crankshaft fatigue based on Stain–Life theory, Chinese Internal Combustion Engine Engineering, 35 (6) (2014) 60–64, 83.Google Scholar
  12. [12]
    Y. F. Li, Z. Q. Lv, W. Cai, S. P. Zhu and H. Z. Huang, Fatigue life analysis of trubine disks based on load spectra of aero–engines, International Journal of Trubo & Jet–Engines, 33 (1) (2016) 27–33.Google Scholar
  13. [13]
    N. Gates and A. Fatemi, Multiaxial variable amplitude fatigue life analysis including notch effects, International Journal of Fatigue, 91 (2) (2016) 337–351.CrossRefGoogle Scholar
  14. [14]
    H. Z. Huang, C. G. Huang, Z. Peng, Y. F. Li and H. Yin, Fatigue life prediction of fan blade using nominal stress method and cumulative fatigue damage theory, International Journal of Turbo & Jet Engines, Doi:–2017–0015.Google Scholar
  15. [15]
    H. Z. Huang, H. K. Wang, Y. F. Li, L. Zhang and Z. Liu, Support vector machine based estimation of remaining useful life: Current research status and future trends, Journal of Mechanical Science and Technology, 29 (1) (2015) 151–163.CrossRefGoogle Scholar
  16. [16]
    A. Niesłony and M. Böhm, Mean stress effect correction using constant stress ratio S–N curves, International Journal of Fatigue, 52 (7) (2013) 49–56.CrossRefGoogle Scholar
  17. [17]
    Z. Lv, H. Z. Huang, H. K. Wang, H. Gao and F. J. Zuo, Determining the Walker exponent and developing a modified Smith–Watson–Topper parameter model, Journal of Mechanical Science and Technology, 30 (3) (2016) 1129–1137.CrossRefGoogle Scholar
  18. [18]
    W. Peng, Y. F. Li, Y. J. Yang, J. Mi and H. Z. Huang, Bayesian degradation analysis with inverse Gaussian process models under time–varying degradation rates, IEEE Transactions on Reliability, 66 (1) (2017) 84–96.CrossRefGoogle Scholar
  19. [19]
    W. Peng, Y. F. Li, Y. J. Yang, S. P. Zhu and H. Z. Huang, Bivariate analysis of incomplete degradation observations based on inverse Gaussian processes and copulas, IEEE Transactions on Reliability, 65 (2) (2016) 624–639.CrossRefGoogle Scholar
  20. [20]
    H. Gao, H. Z. Huang, Z. Lv, F. J. Zuo and H. K. Wang, An improved Corten–Dolan’s model based on damage and stress state effects, Journal of Mechanical Science and Technology, 29 (8) (2015) 3215–3223.CrossRefGoogle Scholar
  21. [21]
    K. Kim and Y. S. Lee, Dynamic test and fatigue life evaluation of compressor blades, Journal of Mechanical Science and Technology, 28 (10) (2014) 4049–4056.CrossRefGoogle Scholar
  22. [22]
    Z. R. Wu, X. T. Hu, Z. X. Li and Y. D. Song, Prediction of multiaxial fatigue life for notched specimens of titanium alloy TC4, Journal of Mechanical Science and Technology, 30 (5) (2016) 1997–2004.CrossRefGoogle Scholar
  23. [23]
    J. Mi, Y. F. Li, W. Peng and H. Z. Huang, Reliability analysis of complex multi–state system with common cause failure based on evidential networks, Reliability Engineering & System Safety, 174 (2018) 71–81.CrossRefGoogle Scholar
  24. [24]
    X. Y. Li, H. Z. Huang and Y. F. Li, Reliability analysis of phased mission system with non–exponential and partially repairable components, Reliability Engineering & System Safety, 175 (2018) 119–127.CrossRefGoogle Scholar

Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Zhi-Jie Liu
    • 1
    Email author
  • Yu-Chong Zhao
    • 1
  • Zhi-Qiang Gan
    • 2
  • Dong-Lin Hui
    • 3
  1. 1.Naval Architecture & Ocean Engineering CollegeDalian Maritime UniversityDalian, LiaoningChina
  2. 2.Tianjin Pumps & Machinery Group Co.TianjinChina
  3. 3.Hisense Electric Co., LTDQingdao, ShandongChina

Personalised recommendations