隐式极限状态方程可靠性研究

基金项目: 国家航空基金资助项目(00B53010);国家航天基金资助项目(2003CH0502,N5CH0001);陕西省自然科学基金资助项目(2003CS0501)

Reliability Analysis for Implicit Limit State Equation

School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China

摘要: 针对非线性隐式极限状态方程失效概率的计算，提出了精度更高的改进的均值二次法，并提出了与响应面法相结合的改进均值法，给出了所提方法的实现策略．具体算例表明，改进的均值二次法的精度较改进的均值一次法有明显提高，而改进均值法与响应面法结合后的精度改善更为明显，并且这种结合方法对响应面法的插值点位置不敏感，插值点在较大范围内变化均能得到稳健的高精度结果，从而说明所提方法的有效性．
- 可靠性 /
- 响应面法 /
- 失效概率
Abstract: In order to obtain the failure probability of the implicit limit state equation accurately,advanced mean value second order(AMVSO)method was presented,and advanced mean value(AMV) in conjunction with the response surface method(RSM)was also presented.The implementations were constructed on the basis of the advanced mean value first order(AMVFO)method and the RSM. The examples show that the accuracy of the AMVSO is higher than that of the AMVFO.The results of the AMV in conjunction with the RSM are not sensitive to the positions of the sampling points for determining the response surface equation,which illustrates the robustness of the presented method.
- reliability /
- response surface method /
- failure probability

[1]	Faravelli L.Response surface approach for variability analysis[J].J Engng Mech,Div,ASCE,1989,115(2)：2763—2781. doi: 10.1061/(ASCE)0733-9399(1989)115:12(2763)
[2]	Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problem[J].Structural Safety,1990,7(1)：57—66. doi: 10.1016/0167-4730(90)90012-E
[3]	Rajashekhar M R,Ellingwood B R.A new-look at the response surface approach for reliability analysis[J].Structural Safety,1993,12(3)：205—220. doi: 10.1016/0167-4730(93)90003-J
[4]	Wu Y T,Wirching P H. New algorithm for structural reliability estimations[J].J Engng Mech,Div ASCE,1987,113(9)：1319—1336. doi: 10.1061/(ASCE)0733-9399(1987)113:9(1319)