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.
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 uhimate state, with rome 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.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第2期270-273,共4页
Journal of Northeastern University(Natural Science)
基金
中国人民解放军总装备部预研项目(9140A19020206BQ0601)
关键词
灵敏度分析
响应面方法
Pox—Behnken取样
蒙特卡罗法
热疲劳裂纹
sensitivity analysis
RSM （response surface methodology）
gox-Behnken sampling
Monte Carlo method
cracking due to thermal fatigue
