【摘要】 针对边坡稳定可靠性涉及多参数相关且具有空间变异性、极限状态方程非显式等难题,建立土质边坡稳定可靠性分析的分层离散随机场矩法。基于局部平均理论,根据土性参数的竖向分层特性,将层内参数简化为随机变量,不同层的参数通过方差函数体现其竖向空间变异性,提出高效的土性参数分层离散随机场模型,可有效模拟土性参数的竖向变异性以及多参数相关性。将边坡稳定可靠性功能函数简化为土性参数的降维近似函数,采用点估计的高阶矩法,建立土质边坡稳定可靠性分析的离散随机场矩法。算例分析结果与MCS以及多重随机响应面法结果高度一致,验证了本文方法的高效、简捷与合理。更多还原

【Abstract】 In order to overcome the difficulties such as the spatial variability of correlated multi-parameters and the implicity of limit state equations in the reliability analysis of soil slope stability,a moment method based on the layered discrete random field of soil parameters was presented. According to the local average process theory and the vertical variation of soil parameters,a layered discrete random field model of soil parameters was proposed,in which the soil parameters within each soil layer are regarded as random variables and the spatial variability of the soil parameters in adjacent layers is described by variance functions. The reliability function of soil slope stability was simplified as a reduced-dimension function of soil parameters,and the reliability of the slope stability was calculated by the four-order moment method. Comparisons among the proposed method,MCS and the multi-random response surface method using slope examples were performed and a good agreement among them was illustrated.更多还原