Journal of Northeastern University Natural Science ›› 2016, Vol. 37 ›› Issue (4): 532-537.DOI: 10.12068/j.issn.1005-3026.2016.04.017

• Mechanical Engineering • Previous Articles     Next Articles

Gear Contact Fatigue Reliability Based on Response Surface and MCMC

TONG Cao, SUN Zhi-li, CHAI Xiao-dong, WANG Jian   

  1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China.
  • Received:2015-01-30 Revised:2015-01-30 Online:2016-04-15 Published:2016-04-05
  • Contact: TONG Cao
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Abstract: A parameterized model of the gear with assembly and manufacturing errors was established for the gear contact failure, and the dynamic tooth surface contact stress was simulated by using the large-deformation explicit dynamics simulation software. Then, the response performance function of the gear was built by the stress-strength interference model. A reliability analysis method based on response surface and the Markov chain Monte Carlo(MCMC) was proposed to improve the precision of the response performance function, and the dependability sensitivity analysis was conducted to quantify the effects of assembly errors, machining errors and stochastic external loads on gear transmission reliability. Finally, the correctness of this method was verified by comparing the results of 100000 Monte Carlo simulations with the results of the as-proposed method.

Key words: respond surface, Markov chain Monte Carlo(MCMC), gear tooth contact fatigue, assembly error, machining errors, reliability sensitivity

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