• CN:11-2187/TH
  • ISSN:0577-6686

›› 2010, Vol. 46 ›› Issue (10): 188-193.

• 论文 • 上一篇    下一篇

扫码分享

机械零部件的动态可靠性灵敏度分析

王新刚;张义民;王宝艳   

  1. 东北大学机械工程与自动化学院;大庆石油学院数学系
  • 发布日期:2010-05-20

Dynamic Reliability Sensitivity Analysis of Mechanical Components

WANG Xingang;ZHANG Yimin;WANG Baoyan   

  1. School of Mechanical Engineering & Automation, Northeastern University Department of Mathematics, Daqing Petroleum Institute
  • Published:2010-05-20

摘要: 传统的零部件可靠性模型不能很好地反映变幅随机载荷和强度退化对可靠性的影响,忽略可靠度和失效率随使用时间的变化规律。研究机械零件强度、载荷和可靠度随时间的变化规律,运用随机过程和顺序统计理论建立考虑变幅随机载荷和强度退化下机械零件的动态可靠性功能方程模型,利用二阶矩和摄动方法求出机械零部件的动态可靠性指标,并计算出零部件的动态可靠度。以建立的动态可靠性数学模型为基础,将可靠性设计理论与灵敏度分析方法相结合,提出动态可靠性灵敏度设计的计算方法,讨论动态可靠性灵敏度设计问题,以扭杆为例,给出各参数动态可靠性灵敏度的变化规律,分析设计参数的改变对扭杆可靠性的影响,为机械零部件的动态可靠性设计和动态灵敏度设计提供理论依据。

关键词: 动态可靠度, 可靠性分析, 灵敏度, 失效率, 随机过程

Abstract: The traditional reliability model of components cannot well reflect the effect of loads of stochastic-changed amplitude and strength degradation on reliability due to neglecting changes of reliability and failure rate with using time. The variation rules of strength, load and reliability of mechanical components are studied with the change of time. Considering loads of stochastic-changed amplitude and strength degradation, a functional equation model for dynamic reliability of mechanical components is established on the basis of random process and order statistics theory, and then dynamic reliability index and reliability of components are obtained by using order-second moment method and perturbation method. Using the mathematical model of dynamic reliability established, and combining the reliability design theory with sensitivity analysis method, a numerical method for dynamic reliability sensitivity design is proposed, and the design of dynamic reliability sensitivity is extensively discussed. A torsion-bar is taken as an example, the variation rules of dynamic reliability sensitivity of parameters are given and the effects of design parameters on the reliability of torsion-bar are analyzed. The method presented provides the theoretical basis for reliability design of mechanical components.

Key words: Dynamic reliability, Failure rate, Reliability analysis, Sensitivity, Stochastic process

中图分类号: