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An intelligent method for contact fatigue reliability analysis of spur gear under EHL

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Abstract

To complete the contact fatigue reliability analysis of spur gear under elastohydrodynamic lubrication (EHL) efficiently and accurately, an intelligent method is proposed. Oil film pressure is approximated using quadratic polynomial with intercrossing term and then mapped into the Hertz contact zone. Considering the randomness of the EHL, material properties and fatigue strength correction factors, the probabilistic reliability analysis model is established using artificial neural network (ANN). Genetic algorithm (GA) is employed to search the minimum reliability index and the design point by introducing an adjusting factor in penalty function. Reliability sensitivity analysis is completed based on the advanced first order second moment (AFOSM). Numerical example shows that the established probabilistic reliability analysis model could correctly reflect the effect of EHL on contact fatigue of spur gear, and the proposed intelligent method has an excellent global search capability as well as a highly efficient computing performance compared with the traditional Monte Carlo method (MCM).

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References

  1. PENG X Q, LIU G, WU L Y, LIU G R, LAM K Y. A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending [J]. Computational Mechanics, 1998, 21(3): 253–261.

    Article  MATH  Google Scholar 

  2. ZHANG Y M, LIU Q L, WEN B C. Practical reliability-based design of gear pairs [J]. Mechanism and Machine Theory, 2003, 38(12): 1363–1370.

    Article  MATH  Google Scholar 

  3. CHEN Tao, SUN Wei. Multi-source data fusion based small sample prediction of gear random reliability [J]. Journal of Mechanical Science and Technology, 2012, 26(8): 2547–2555.

    Article  Google Scholar 

  4. ALEMAYEHU F M, EKWARO-OSIR S. Uncertainty considerations in the dynamic loading and failure of spur gear pairs [J]. Journal of Mechanical Design, 2013, 135(8): 1–7.

    Article  Google Scholar 

  5. LI Chang, HAN Xing. Analysis of reliability sensitivity for gear engagement based on response surface methods [J]. Journal of Aerospace Power, 2011, 26(3): 711–715. (in Chinese)

    MathSciNet  Google Scholar 

  6. ZHANG Peng-shun, LU Si-cong. Elastohydrodynamic theory and its application [M]. Beijing: Higher Education Press, 1995. (in Chinese)

    Google Scholar 

  7. WEN Shi-zhu, YANG Pei-ran. Elastohydrodynamic lubrication [M]. Beijing: Tsinghua University Press, 1992. (in Chinese)

    Google Scholar 

  8. GAO C K, QI X M, SNIDLE R W, EVANS H P. Effect of film thickness ratio on gearing contact fatigue life [C]// IUTAM Symposium on Elastohydrodynamics and Microelastohydrodynamics. Berlin: Springer, 2006: 423–434.

  9. TOWNSEND D P. Lubrication considerations in gear design [R]. Ohio: Lewis Research Center Cleveland, 1970.

    Google Scholar 

  10. LU Yao-hui, WU Ping-bo, YANG Fei, GUAN Qing-hua. Reliability and parametric sensitivity analysis of railway vehicle bogie frame based on Monte Carlo numerical simulation [C]// High Performance Computing and Applications. Berlin: Springer, 2010: 280–287.

  11. DUBI A. Monte Carlo applications in systems engineering [M]. WEI Jun-hu, translated. Xi’an: Xi’an Jiaotong University Press, 2007. (in Chinese)

    Google Scholar 

  12. DENG Jian, GU De-sheng, LI Xi-bin, YUE Zhong-qi. Structural reliability analysis for implicit performance functions using artificial neural network [J]. Structural Safety, 2005, 27(1): 25–48.

    Article  Google Scholar 

  13. HOSNI ELHEWY A, MESBAHI E, PU Y. Reliability analysis of structures using neural network method [J]. Probabilistic Engineering Mechanics, 2006, 21(1): 44–53.

    Article  Google Scholar 

  14. CHENG Jin. An artificial neural network based genetic algorithm for estimating the reliability of long span suspension bridges [J]. Finite Element in Analysis and Design, 2010, 46(8): 658–667.

    Article  Google Scholar 

  15. GUI Jin-song, LIU Hong, KANG Hai-gui. An intelligent method for structure reliability analysis based on response surface [J]. China Ocean Engineering, 2004, 18(4): 653–661.

    Google Scholar 

  16. HUANG Ping, LUO Jian-bin, WEN Shi-zhu, A new numerical approach for calculating EHL film thickness and pressure [J]. Lubrication Engineering, 1998(6): 10–14. (in Chinese)

  17. HUANG Ping. Numerical calculation methods of elastohydrodynamic lubrication [M]. Beijing: Tsinghua University Press, 2013. (in Chinese)

    Book  Google Scholar 

  18. GAO Chuang-kuan. Study of involute gearing mixed elastohydrodynamic lubrication [D]. Taiyuan: Taiyuan University of Technology, 2005. (in Chinese)

    Google Scholar 

  19. LI Hua-kui. Reliability analysis of the truck rear axle and finite element analysis of the gear under the EHL [D]. Qingdao: Qingdao Technological University, 2012: 21–42. (in Chinese)

  20. ZHANG Yan-hua. Finite element analysis of accelerating gear of wind-power-generating under the EHL [D]. Qingdao: Qingdao Technological University, 2009: 35–59. (in Chinese)

  21. HU Yun, LIU Shao-jun, DING Sheng. Contact fatigue life on spur gear with consideration of elastohydrodynamic [J]. Journal of Central South University, 2014, 45(12): 4187–4193. (in Chinese)

    Google Scholar 

  22. SUN Zhi-li, CHEN Lang-yu. Theory and method of utility mechanical reliability design [M]. Beijing: Science Press, 2003. (in Chinese)

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Yun Hu  (胡贇), Shao-jun Liu  (刘少军), Ji-hua Chang  (常继华) & Jian-ge Zhang  (张建阁)

  2. State Key Laboratory for High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Yun Hu  (胡贇), Shao-jun Liu  (刘少军), Ji-hua Chang  (常继华) & Jian-ge Zhang  (张建阁)

Authors
  1. Yun Hu  (胡贇)
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  2. Shao-jun Liu  (刘少军)
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  3. Ji-hua Chang  (常继华)
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  4. Jian-ge Zhang  (张建阁)
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Corresponding author

Correspondence to Yun Hu  (胡贇).

Additional information

Foundation item: Project(CX2014B060) supported by Hunan Provincial Innovation for Postgraduate, China; Project(8130208) supported by General Armament Pre-research Foundation

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Hu, Y., Liu, Sj., Chang, Jh. et al. An intelligent method for contact fatigue reliability analysis of spur gear under EHL. J. Cent. South Univ. 22, 3389–3396 (2015). https://doi.org/10.1007/s11771-015-2879-x

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  • DOI: https://doi.org/10.1007/s11771-015-2879-x

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