边坡渐进破坏的模糊随机可靠性研究  

ON FUZZY ASYMPTOTIC THEORY BASED RELIABILITY ANALYSIS FOR SLOPE PROGRESSIVE FAILURE

作　　者：王宇[1] 曹强[1] 李晓[2] 刘帅[3] 余宏明[1] 

机构地区：[1]中国地质大学工程学院,武汉430074 [2]中国科学院地质与地球物理研究所 [3]河北联合大学,唐山063000

出　　处：《工程地质学报》2011年第6期852-858,共7页Journal of Engineering Geology

基　　金：国家"十一五"科技支撑计划项目(2008BAC47B0);交通部西部交通建设科技项目(200906)

摘　　要：研究边坡的渐进破坏过程对边坡稳定性的影响,认为边坡破坏是由局部向整体扩展的渐进过程,它具有随机性和模糊性双重特性。渐进破坏模糊随机法能很好地反映边坡体内局部破坏的产生、扩展及对边坡整体可靠性的影响。基于岩土体的空间变异性,考虑了随机变量和极限状态函数的模糊性,以模糊随机变量为基本变量建立了边坡渐进破坏的模糊极限状态方程,计算边坡局部破坏和扩展破坏的模糊概率,进而得出渐进破坏模糊概率。算例研究表明,基于模糊随机理论的边坡渐进破坏分析方法,更能反映边坡稳定的实际状态,为边坡的可靠性分析提供了一条新的思路,更有待于进一步的研究和探索。The slope progressive failure process has impacts on slope stability.Slope destruction can be considered as the extension of local failure to the entire failure with the progressive process.They have the dual characteristics of fuzziness and randomness.The progressive failure fuzzy stochastic method can well reflect the partial slope body failure including its emergence,its extension and its influence to the entire slope reliability.This study is based on the spatial variation of geotechnical body.It considers the fuzziness of random variable and limit state function.It further establishes the fuzzy limit state equation of the slope progressive destruction with basic variables.It then calculates the slope fuzzy probabilities for the partial failure and the extended failure.It then obtains the progressively failure fuzzy probability.The example shows that the slope asymptotic failure analysis method in association with the fuzzy stochastic theory can reflect the actual state of the slope better.The result provides a new thinking to the slope reliability.

关 键 词：渐进性破坏 模糊随机法 模糊概率 局部破坏 扩展破坏 

分 类 号：TD824.7[矿业工程—煤矿开采]