本文介绍了响应面法在结构可靠性分析中的应用，特别是当性能函数未知时使用迭代序列响应面法的情况。文中详细阐述了如何在Matlab中实现响应面法的插值及BP人工神经网络程序，并对这三种方法进行了对比分析。由于Matlab的基本元素为矩阵，提供了丰富的矩阵运算工具箱，因此采用响应面函数进行编程可以充分利用这些优势，使得可靠性计算更加高效便捷。
摘要：
The response surface method for structural reliability analysis can be used when performance function is unknown, in which the iterative sequence response surface method of quadratic polynomial is often used. This paper introduces how to realize the programs of the response surface method of interpolation and BP artificial neural network(ANN) in Matlab. The contrast analysis is made among the three methods. The basic element of Matlab is matrix which provides many kinds of operation and calculation of matrix including some toolboxes in common use for the numerical computation of reliability. The advantages of matrix operation and various toolboxes can be fully used if the response surface function is adopted and programmed in Matlab. It is very efficient and convenient to program in Matlab for the reliability calculation. Because of the above advantages of Matlab, its extensive use in the structural reliability analysis will push forward the theory and application of structural reliability.
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