中文摘要：

基于可靠指标的几何涵义，运用随机投点法原理，提出了计算高度波动非线性功能函数的可靠指标和设计验算点的全局优化算法．该法避免了传统的可靠度分析方法（JC法）对高度波动非线性功能函数计算不收敛的麻烦，且该法不需要对功能函数求导，无需对非线性功能函数作线性化近似处理，从而提高了结构可靠度的计算精度，扩大了其适用范围，为结构可靠度分析提出了一种新的思路．最后通过实例证明了该方法的有效性和可操作性．

英文摘要：

Based on the geometric implication of the reliability index and stochastic points method, a global optimal algorithm is put forward to calculate the reliability index and the design point of the highly fluctuant nonlinear limit state function. This method avoids the disadvantages of traditional JC method and has no need to solve the derivatives of highly fluctuant nonlinear limit state functions. The nonlinear perform ance function needs not be linearized by the proposed method; and it improves the accuracy of reliability calculation and extends its suitable range so as to offer a new means for reliability analysis. Finally, some examples are given to show that this method is reliable, accurate and operable.