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边界元法比较适用于复杂结构及大体积结构问题 ,计算量小而精度较高。本文针对一次二阶矩方法的计算特点 ,采用对基本随机变量求偏导数的方法 ,以确定性边界积分方程为基础分别建立零阶式和一阶式随机边界积分方程 ,并对此随机边界积分方程作了数值处理 ,编制了计算程序。作为应用 ,以该法作为重力坝应力分析方法 ,用JC法计算可靠度 ,对重力坝的强度可靠度和沿坝基面抗滑稳定可靠度作了分析 ,研究了岩基刚度、基本随机变量离散性的影响。计算分析结果显示 ,随机边界元法能更好地反映水工结构的随机应力应变场 ,从而使反映水工结构的各种工程可靠度指标更符合实际工程状况。
Boundary element method is more suitable for complex structures and large volume structure problems, the calculation is small and high accuracy. In this paper, according to the computational characteristics of a second-moment method, a method of partial derivative of a basic random variable is used to establish the zero-order and first-order stochastic boundary integral equations based on the deterministic boundary integral equation. The stochastic boundary integral The equations were numerically processed and a calculation program was prepared. As an application, this method is used as a stress analysis method for gravity dam, and JC method is used to calculate the reliability. The strength reliability of gravity dam and the stability of anti-slide stability along the dam foundation are analyzed. The effects of stiffness, basic random variable dispersion Sexual effects. The results of calculation and analysis show that the stochastic boundary element method can better reflect the random stress and strain field of hydraulic structure, so that the reliability indexes of various engineering structures that reflect the hydraulic structure can be more in line with the actual engineering conditions.