响应面重构的若干方法研究及其在可靠度分析中的应用

在地下隧洞稳定的可靠性分析中，得到极限状态方程的解析表达式往往是非常困难的。因而本文基于数值模拟研究了响应面重构的若干方法，以模拟实际工程中常见的功能函数不能明确的可靠度计算问题。重点探讨了有理多项式技术和人工神经网络方法在响应面重构中的应用，并与目前常用的两种响应面方法进行了比较分析。最后,通过程序编制和算例分析对响应面重构的若干方法研究进行了验证。

Research on response surface restructure method and its application in reliability analysis

Usually it is very difficult to get an analytical expression of the limit state equation in the reliability analysis for stability of the underground tunnel. Therefore, on basis of a numerical simulation, some methods for response surface restructure are established, which can simulate the reliability problems with the closed\|formed performance function in the practical engineering. The application of the rational polynomial technique and the neural network scheme in response surface method are mainly discussed, and the comparison with the two kinds of response surface methods commonly used is also made. Some analytical results show that the methods have good efficiency and accuracy.