Journal of Northeastern University Natural Science ›› 2019, Vol. 40 ›› Issue (5): 678-683.DOI: 10.12068/j.issn.1005-3026.2019.05.014

• Mechanical Engineering • Previous Articles     Next Articles

Reliability Sensitivity Analysis Based on Random Load and Strength Degradation

YANG Zhou1, GUO Bing-shuai1, ZHANG Yi-min1,2, GU Luo-wei1   

  1. 1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China; 2. Equipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang 110142, China.
  • Received:2018-04-12 Revised:2018-04-12 Online:2019-05-15 Published:2019-05-17
  • Contact: YANG Zhou
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Abstract: In order to solve the dynamic reliability problem caused by random load and strength degradation, the load and strength are considered as stochastic processes simultaneously. The maximum equivalent load is obtained by using the theory of sequence statistics, the strength degradation process of mechanical parts is described by Gamma process, and the dynamic reliability model is established. Consequently using the stochastic perturbation theory and the four-order moment technique, the solution formula for the dynamic reliability sensitivity is derived, solving the sensitivity problem of the parameters from arbitrary distribution. For variation, a dynamic reliability model for screw bolts was established. The dynamic curves of the sensitivity of each parameter variable vs. time were calculated with the said model, and were also verified by Monte Carlo method. The results show that the established model indicates the rule of reliability change of mechanical parts vs. time accurately.

Key words: mechanical parts, random load, Gamma process, fourth-order moment, sensitivity analysis

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