ANALYSIS METHOD OF RELIABILITY SENSITIVITY BASED ON RESPONSE SURFACE METHODS

YAN Ming  SUN Zhili  YANG Qiang

(School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110004)

Abstract: A process of applying the response surface method to get the ultimate state function (Which takes the characteristics 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 deduced. 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 convenient for calculating the variance, partial derivative and reliability 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 reliability 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.

Key words: Sensitivity analysis  Response surface method  Box-Behnken sampling  Monte Carlo methods  Accessory gearbox

CLC No: TB114.3

国防十五规划预研基金资助项目(APTD-1002-005). Received 20061020, received in revised form 20070720