基于Karhunen—Loeve正交级数对随机场进行离散,并利用Hermite混沌多项式将结构位移响应量表示成为随机场离散变量的函数,研究建立了结构抽样模拟分析的随机响应面法,进而建立了与结构失效准则相对应的极限状态函数,结合几何法提出了结构可靠度分析的随机响应面法计算格式.分析了二阶、三阶随机响应面的特性,并同可靠度分析的蒙特卡罗法进行了比较,结果表明本文方法具有更好的计算精度和计算效率.
Based on Karhunen-Loeve expansion of random field, Hermite polynomial chaos expansion to build the stochastic response surface function was utilized ,and combine with the geometric method to calculate the structural reliability. A comparison with Monte-Carlo simulation shows that the proposed method can achieve high accuracy and efficient, while analyzing the property of the second-order and the third-order stochastic response surface.