Journal of Failure Analysis and Prevention

, Volume 16, Issue 5, pp 783–789 | Cite as

Structure Design and Optimization of Deep Cavity Rollers of Rotary Steering Spindle System

  • Xiaodong Zhang
  • Huiping Lu
  • Bo Li
Technical Article---Peer-Reviewed


The center shaft of rotary steering spindle system is bendable under bias force. A severe partial load effect occurs among rollers, the inside and outside circles of the first cantilever bearing. Simulation analysis was conducted by loading boundary condition of the spindle under bias force. Furthermore, three different types of deep cavity rollers, which were cylindrical, conical, and spherical, respectively, were analyzed by finite element method. The effects of deep cavity angles, radius, and offset on mechanical properties of bearing were studied. The data obtained by simulation analysis were trained and predicted by Back Propagation (BP) neural network, and then the BP neural network model was incorporated into fmincon function. Thereby, structure optimization of rollers was established based on BP neural network model and fmincon function. The results show that structure of the conical deep cavity roller gets optimal mechanical performance. After being optimized, maximum stress of edge region and elliptical area decreases, respectively, by 22 and 17% than before, indicating that structure optimization method of the neural network and fmincon function can be used in optimization of deep cavity rollers. This method can quickly search for the optimal solution with sufficient engineering accuracy, ease of use, and adaptability.


Structure design and optimization BP neural network Fmincon function Stress concentration 



This work was supported financially by Applied and Basic Research Project in Sichuan province of China (2014JY0229) and Graduate Student Innovation Fund of Southwest Petroleum University (CXJJ2015017).


  1. 1.
    S. Minett, D. Stroud, J. Paget, Real-time whirl detector aids drilling optimization. SPE 135110 (2010)Google Scholar
  2. 2.
    Q. Zhou, B.L. Liu, Y. Li, Research on the effects of bending of cantilever bearing of rotary steering tool spindle. J. Petrol. Mach. 38(10), 14–17 (2010)Google Scholar
  3. 3.
    S. Stuart, Application of Point the Bit Rotary Steerable System in Directing Drilling Prototype Well-bore Profile. SPE62591 (2000)Google Scholar
  4. 4.
    D. Stroud, Roller reamer fulcrum in point-the-bit-rotary steerable system reduces stick-slip and backward whirl.SPE 151603 (2011)Google Scholar
  5. 5.
    H.B. Liu, Partial load effect analysis of axle journal bearing of railway cargo. Southwest Jiao tong University (2014)Google Scholar
  6. 6.
    Y.X. Mao, X.J. Shen, X.Y. Chen et al., Contact stress of roller bearing load distribution calculation and design of roller crown. J. Mech. Eng. 20(16), 1918–1922 (2009)Google Scholar
  7. 7.
    S. Kenji, S. Masamichi, S. Masaaki, Roller bearing and a method of process the same United Stated 6318897. 2001-11-20Google Scholar
  8. 8.
    P.M. Johns, R. Gohar, Roller bearing under radial and eccentric loads. Tribol. Int. 14(3), 131–136 (1981)CrossRefGoogle Scholar
  9. 9.
    Y.G. Wei, Z.L. Ge, Q.Y. Jiang, Partial load analysis of high speed passenger car axle box bearing and the bearing roller asymmetric modification. Lubr. Seal. 12(2), 9–12 (2002)Google Scholar
  10. 10.
    Y.G. Wei, X.J. Zhang, X.M. Liu, Element analysis of deep cavity short cylindrical roller bearing finite of passenger car axle box. J. Dalian Railw. Inst. 20(4), 26–29 (1999)Google Scholar
  11. 11.
    Y.G. Wei, New type of rolling element bearing, deep hole hollow cylindrical roller bearing performance of theoretical study. J. Mech. Eng. 9(2), 107–111 (2005)CrossRefGoogle Scholar
  12. 12.
    J. Zhang, Z. Liang, C.J. Han et al., Numerical studies of deep hole hollow roller bearing for cone bit. J. Mech. strength 4(5), 723–727 (2014)Google Scholar
  13. 13.
    J. Zhang, Z. Liang, C.J. Han et al., Deep hole hollow thrust tapered roller bearing design and contact analysis. J. Huazhong Univ. Sci. Technol. 42(6), 28–32 (2014)Google Scholar
  14. 14.
    J.S. Du, B.L. Liu, Q.T. Li et al., Mechanical model and optimization of rotary steering system offset mandrel. J. Petrol. Mach. 4(8), 28–31 (2008)Google Scholar
  15. 15.
    J.H. Yu, J.W. Yao, Innovation design of elastic composite cylindrical roller bearing based on TRIZ contradiction matrix. Mechanical 39(2), 1–3 (2012)Google Scholar
  16. 16.
    D.Y. Xue, Y.Q. Chen, Higher Application of Mathematical Problem by MATLAB Solving (Tsinghua University Press, Beijing, 2008)CrossRefGoogle Scholar
  17. 17.
    W. Yang, Q.S. Yao, J.H. Yu et al., Study of the elastic composite cylindrical roller bearing performance. J. Mech. Transm. 37(5), 6–9 (2013)Google Scholar
  18. 18.
    G.D. Zhang, K.Q. Gu, The nonlinear structural optimization based on genetic algorithms and parametric modeling. J. Comput. Mech. 20(6), 764–768 (2003)Google Scholar

Copyright information

© ASM International 2016

Authors and Affiliations

  1. 1.School of Mechatronic EngineeringSouthwest Petroleum UniversityChengduChina

Personalised recommendations