基于响应面方法的可靠性灵敏度分析方法

简要叙述应用响应面方法获取极限状态函数(该极限状态函数具有响应面函数的特点)的过程。提出利用这种极限状态函数进行可靠性灵敏度分析的方法，并推导了计算公式。该方法的优点是：① 可用于极限状态函数未知的情况。② 此极限状态函数是形式简单的二次多项式，便于实现方差和偏导计算，使可靠性灵敏度的计算简单易行。③ 该极限状态函数包括一、二次项和交叉项的信息，使可靠性灵敏度的计算精度大大提高。④ 通用、规范，易于实现程序化。最后计算航空发动机附件传动机匣散热的可靠度及各个变量的可靠性灵敏度，为附件传动散热系统的设计提供了理论依据，算例表明了所给出的计算公式的正确和有效性。

ANALYSIS METHOD OF RELIABILITY SENSITIVITY BASED ON RESPONSE SURFACE METHODS

A process of applying the response surface method to get the ultimate state function (Which takes the characteris- tics of response surface function) is briefly depicted. A new method to analyze the reliability sensitivity through the ultimate state function is presented and the correlative formulas are de- duced. The advantages of this method are as follows: ① It is available even the ultimate state function is unknown. ② The ultimate state function, a simple quadric polynomial, is con- venient for calculating the variance, partial derivative and reli- ability sensitivity. ③ The function includes the information of linear, quadratic and crossing quadratic terms, which makes the accuracy of reliability sensitivity greatly improved. ④ Owning to its regularity, programming is achievable. Finally, the reli- ability of heat-emission of the accessory gearbox of aero-engine and reliability sensitivity of various influencing factors are cal- culated, which provides theoretical warranties for the designing of heat-emission system of accessory gearbox. The example shows these theories and formulas are rational and efficient.