广义随机空间内的结构可靠度渐近分析方法

Asymptotic analysis method for structural reliability in generalined random space

本文在笔者提出的广义随机空间内的一次可靠度分析方法基础上，应用拉普拉斯型积分渐近理论，提出了广义随机空间内的结构可靠度渐近分析方法．该方法比较简便、实用，对于工程中大量的连续随机变量可靠度分析问题，尤其是极限状态方程非线性程度较高及随机变量概率分布偏倚程度较大的问题，可得到精度令人满意的分析结果．

Applying Laplace asymptotic approximation of inegrals, an asymptotic analysis method for structural reliability in generalized random space is proposed based on authors previous paper(6). Analytic results show that the proposed method is simple in calculation and has enough accuracy for reliability analysis of engineeing problem with continuous random variables.