首页|考虑参数模糊随机性的风化板岩边坡广义可靠性分析研究

考虑参数模糊随机性的风化板岩边坡广义可靠性分析研究

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为研究岩土参数随机性和模糊性对边坡稳定性的影响,依托湖南某高速公路板岩边坡,开展了利用隶属度函数和Rosenblueth法的边坡广义可靠性分析,将其与传统定值安全系数法进行了对比,并研究了隶属度函数形式、截集个数对边坡广义可靠性的影响规律,给出了合理的分析计算方案建议.研究表明:不同截集水平下的安全系数均值无法反映岩土参数模糊性,而可靠性指标与参数模糊性具有较好的关联,随着模糊截集水平的增大,可靠性指标提高,得出该边坡失效概率等于0.889%,处于稳定状态,同定值安全系数法相比与实际情况更加吻合;参数隶属度函数的形式与截集个数对广义可靠性指标影响较大,为了在较少的计算量下得到较高的计算精度,建议优先选择梯形或三角形的隶属度函数,截集个数选择9个;广义可靠性分析考虑了抗剪强度参数的模糊随机性,回避了定值安全系数法参数取值的精确性难题,其稳定性判断的思想更加科学,可供类似边坡分析参考借鉴.
Generalized Reliability Analysis of Weathered Slate Slope Considering Fuzzy Randomness of Parameters
To study the influence of the randomness and fuzziness of geotechnical parameters on the slope stability,this paper presents a case history of a slate slope of an expressway in Hunan Province.The generalized reliability analysis is performed by using the membership function and the Rosenblueth method.The method is compared with the traditional method with a fixed safety factor.The membership function and cut-set numbers influence on reliability are studied.Suggestions for the reasonable analysis are proposed.The results show that the mean value of safety factors at different cut-set levels cannot reflect the fuzzi-ness of geotechnical parameters,while the reliability index has a good correlation with the fuzziness of parameters.With the in-crease of the fuzzy cut-set level,the reliability index increases.For this slope,the failure probability obtained by the fuzzy reli-ability method is 0.889%<5%,which means a stable state and is more consistent with the actual situation compared with the fixed safety factor method.The parameter membership function form and the cut-set number have a great influence on the gen-eralized reliability index of slope.When using fuzzy point estimation method,the trapezoidal or triangular membership distribu-tion should be selected first.The number of cut-set is suggested to be nine.The generalized reliability analysis of the slope con-siders the fuzzy randomness of the shear strength parameters,avoiding the problem of the parameter accuracy of the fixed safe-ty factor method.Therefore,the thinking of slope stability judgment is more scientific.The study results provide a reasonable reference for the analysis of similar slope projects.

SlopeSlateFuzzy Random characteristicsGeneralized ReliabilityMembership FunctionCut-set

刘文劼、巢万里、郭一鹏

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湖南省交通科学研究院有限公司,长沙 410015

长沙理工大学土木工程学院,长沙 410076

边坡 板岩 模糊随机性 广义可靠性 隶属度函数 截集

国家自然科学基金青年基金湖南省交通科技项目

52208352202238

2024

土工基础
湖北省土木建筑学会,中国科学院武汉岩土力学研究所,武汉市土木建筑学会

土工基础

影响因子:0.238
ISSN:1004-3152
年,卷(期):2024.38(4)