苏永华, 李帅, 方砚兵, 苏雅. 2019: 基于上限分析的边坡稳定可靠性评估. 工程地质学报, 27(2): 451-458. DOI: 10.13544/j.cnki.jeg.2017-339
    引用本文: 苏永华, 李帅, 方砚兵, 苏雅. 2019: 基于上限分析的边坡稳定可靠性评估. 工程地质学报, 27(2): 451-458. DOI: 10.13544/j.cnki.jeg.2017-339
    SU Yonghua, LI Shuai, FANG Yanbing, SU Ya. 2019: RELIABILITY EVALUATION OF SLOPE STABILITY BASED ON UPPER BOUND ANALYSIS. JOURNAL OF ENGINEERING GEOLOGY, 27(2): 451-458. DOI: 10.13544/j.cnki.jeg.2017-339
    Citation: SU Yonghua, LI Shuai, FANG Yanbing, SU Ya. 2019: RELIABILITY EVALUATION OF SLOPE STABILITY BASED ON UPPER BOUND ANALYSIS. JOURNAL OF ENGINEERING GEOLOGY, 27(2): 451-458. DOI: 10.13544/j.cnki.jeg.2017-339

    基于上限分析的边坡稳定可靠性评估

    RELIABILITY EVALUATION OF SLOPE STABILITY BASED ON UPPER BOUND ANALYSIS

    • 摘要: 从塑性极限分析出发,基于上限分析构建边坡极限状态可靠度计算模型;针对状态函数高度非线性导致常规可靠度方法求解时存在困难的问题,将响应面模型作为极限状态函数与可靠度计算间"桥梁",利用二次正交原理优化取样点,建立考虑参数相关性的二次响应面替代函数。利用JC法直接求得边坡可靠指标的一个上限解,讨论了单个及多个参数变异性对边坡可靠度的影响。

       

      Abstract: This paper starts from plastic limit analysis and builds a reliability calculation model of limiting condition for slope on the basis of the upper bound theorem. As the limit state function of the slope was too complex to be solved by the common reliability method, the response surface method is introduced as the"bridge" between the limit state function and the reliability calculation. Sampling points are optimized using quadratic orthogonal principle. The quadratic response surface function is established, which considers the correlation between parameters. An upper bound solution of reliability is achieved directly using the J-C method. Influences of variability of parameter(s) on reliability of slope were discussed.

       

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