边坡模糊随机可靠性分析的模糊点估计法

›› 2012, Vol. 33 ›› Issue (6): 1795-1800.

边坡模糊随机可靠性分析的模糊点估计法

王宇^{1, 2, 3}，贾志刚¹，李晓²，汪灿¹，余宏明¹

1. 中国地质大学（武汉）工程学院，武汉 430074；2. 中国科学院地质与地球物理研究所，北京 100029；3. 中国科学院研究生院，北京 100049

收稿日期:2010-12-15 出版日期:2012-06-11 发布日期:2012-06-14
作者简介:王宇，男，1985年生，博士研究生，主要从事地质工程与地质灾害，岩石力学方面的研究工作
基金资助:
国家“十一五”科技支撑计划项目(No. 2008BAC47B0)；交通部西部交通建设科技项目(No. 200906)

Fuzzy random reliability analysis of slope based on fuzzy point estimate method

WANG Yu^{1, 2, 3}，JIA Zhi-gang¹，LI Xiao²，WANG Can¹，YU Hong-ming¹

1. Faculty of Engineering, China University of Geosciences, Wuhan 430074, China; 2. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100029, China; 3. Graduate University of Chinese Academy of Sciences, Beijing, 100049, China

Received:2010-12-15 Online:2012-06-11 Published:2012-06-14

摘要/Abstract

摘要： 在统计矩点估计法和模糊随机理论的基础之上，提出边坡工程模糊随机可靠性分析的模糊点估计法，将边坡稳定性极限状态方程由模糊随机集向普通随机集转化，然后利用点估计法求解边坡的可靠度指标。鉴于岩土体物理力学参数的近似分布类型，采用区别于梯形模糊数的正态模糊数对随机变量进行模糊随机化处理，使其更趋近于物理力学参数的近似分布类型。该方法考虑了各个力学参数的模糊性，计算结果更能反映边坡的真实工作状态。算例分析结果表明，该法使用简便，计算效率高，结果可靠，避免了传统分析方法的缺点，对复杂边坡或者功能函数为隐式表达的边坡工程可靠性分析具有很大的潜力，为边坡可靠性分析提供了一条新的途径，具有广泛的应用前景。

关键词: 边坡工程, 模糊随机可靠性, 模糊点估计法, 正态模糊数, 可靠性指标

Abstract: The fuzzy point estimate method of slope engineering reliability evaluation is presented based on the statistical moment point estimate method and fuzzy random theory. The slope stability limit state equation is transformed from fuzzy random set to normal random set, then the point estimation method is used to solve the slope reliability indexes. In view of the approximate distribution types for physico-mechanical parameters of rock mass, the normal fuzzy number, which is different from the normal number is used to do fuzzy random variable. By doing this, the physico-mechanical parameters are closer to its real distribution types. The fuzziness of various mechanical parameters is considered. The calculation results can reflect the true working condition of slope. A case study shows that the method has a higher calculation efficiency and reliable calculation results, and it is convenient in use; it also avoids the shortcomings of traditional methods. The method has great potential for slope reliability analysis of complex slope or functions for implicit expression; it provides a new way to slope reliability analysis and has a broad prospect of application.

Key words: slope engineering, fuzzy random reliability, fuzzy point estimate method, normal fuzzy number, reliability index

中图分类号:

TU 457

王宇，贾志刚，李晓，汪灿，余宏明 . 边坡模糊随机可靠性分析的模糊点估计法[J]. , 2012, 33(6): 1795-1800.

WANG Yu ，JIA Zhi-gang ，LI Xiao ，WANG Can ，YU Hong-ming . Fuzzy random reliability analysis of slope based on fuzzy point estimate method[J]. , 2012, 33(6): 1795-1800.

参考文献

相关文章 15

[1]	闫国强, 殷跃平, 黄波林, 张枝华, 代贞伟, . 三峡库区巫山金鸡岭滑坡成因机制与变形特征[J]. 岩土力学, 2019, 40(S1): 329-340.
[2]	王伟, 陈国庆, 郑水全, 张广泽, 王栋, . 考虑张拉-剪切渐进破坏的边坡矢量和法研究[J]. 岩土力学, 2019, 40(S1): 468-476.
[3]	蒋泽锋, 张戈, 朱大勇, 王军, . 锚固力作用下的边坡临界滑动场法研究与应用[J]. 岩土力学, 2019, 40(7): 2799-2806.
[4]	崔芳鹏，许强，殷跃平，胡瑞林，陈紫娟，刘伟,. 基于带状震源破裂机制的斜坡动力响应[J]. , 2018, 39(1): 320-330.
[5]	王超，张社荣，张峰华，杜成波. 基于实时更新数值模型的高陡边坡动态仿真分析方法及应用[J]. , 2016, 37(8): 2383-2390.
[6]	陈静瑜，赵炼恒，李亮，谭捍华，. 基于Excel数据表和极限分析法的滑坡抗剪强度参数反演分析[J]. , 2016, 37(3): 827-834.
[7]	罗正东，董辉，陈铖，苏永华,. 基于克里金模型的边坡稳定可靠度分析方法[J]. , 2015, 36(S1): 439-444.
[8]	舒苏荀，龚文惠. 边坡稳定分析的神经网络改进模糊点估计法[J]. , 2015, 36(7): 2111-2116.
[9]	刘晓，唐辉明，熊承仁，刘清秉，. 考虑能量-时间分布的边坡动力可靠性分析新方法[J]. , 2015, 36(5): 1428-1443.
[10]	辛建平，唐晓松，郑颖人，张冬，. 单排与三排微型抗滑桩大型模型试验研究[J]. , 2015, 36(4): 1050-1056.
[11]	夏开宗，刘秀敏，陈从新，宋娅芬，欧哲，龙毅，. 考虑突变理论的顺层岩质边坡失稳研究[J]. , 2015, 36(2): 477-486.
[12]	张社荣，谭尧升，王超，王宽. 多层软弱夹层边坡岩体破坏机制与稳定性研究[J]. , 2014, 35(6): 1695-1702.
[13]	孙志彬，杨小礼，张胜，王路路,. Mohr-Coulomb准则下基于滑动面深度的边坡参数反分析方法[J]. , 2014, 35(5): 1323-1328.
[14]	张永杰，李侑军，李邵军，江权，. 边坡模糊可靠性分析隶属函数取值界限研究[J]. , 2014, 35(4): 1157-1163.
[15]	夏开宗，陈从新，鲁祖德，宋娅芬，周意超，罗歆婷，. 考虑水力作用的顺层岩质边坡稳定性图解分析[J]. , 2014, 35(10): 2985-2993.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed