东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (2): 270-273.DOI: -

• 论著 • 上一篇    下一篇

响应面方法在可靠性灵敏度计算中的应用

史妍妍;孙志礼;闫明;   

  1. 东北大学机械工程与自动化学院;沈阳工业大学机械工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-02-15 发布日期:2013-06-22
  • 通讯作者: Shi, Y.-Y.
  • 作者简介:-
  • 基金资助:
    中国人民解放军总装备部预研项目(9140A19020206BQ0601)

Application of response surface methodology in sensitivity calculation of reliability

Shi, Yan-Yan (1); Sun, Zhi-Li (1); Yan, Ming (2)   

  1. (1) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China; (2) Shenyang University of Technology, Shenyang 110178, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-02-15 Published:2013-06-22
  • Contact: Shi, Y.-Y.
  • About author:-
  • Supported by:
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摘要： 简要叙述了应用响应面方法获取极限状态函数(该极限状态函数具有二次多项式响应面函数的特点)的过程.提出了利用这种极限状态函数进行可靠性灵敏度分析的方法,举例证明该方法可用于极限状态函数未知的情况,并推导了相关计算公式.用响应面方法获取的极限状态函数天然地包括一、二次项和交叉项的信息,不仅使可靠性灵敏度的计算简单易行,而且使计算精度大大提高.最后以热疲劳裂纹为例,计算了其不发生失稳扩展的可靠度及各个随机变量的可靠性灵敏度.

关键词: 灵敏度分析, 响应面方法, Box-Behnken取样, 蒙特卡罗法, 热疲劳裂纹

Abstract: A process of applying the response surface methodology (RSM) to the acquisition of the function in ultimate state, which is characterized with the quadratic polynomial response surface function, is briefly described. A new method is proposed to analyze the sensitivity of reliability via the function in ultimate state. An example is given to prove that the method proposed is available to the unknown function in ultimate state, with some formulae deduced. The function in ultimate state obtained by RSM, as a simple quadric polynomial, naturally includes the information on linear, quadratic and cross quadratic terms, thus making the sensitivity calculation of reliability easy to do and its accuracy very high. With the cracking due to thermal fatigue exemplified, the reliability without destabilized extension happening is calculated, as well as its sensitivity with different random variables.

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