Abstract:Aiming at the inability to obtain enough information to describe the random distribution of uncertain variables accurately,the Information-Gap theory which is abbreviated as Info-Gap theory is adopted. Firstly,a robust reliability model for uncertainty analysis of stability about karst roof under foundation pile is established based on the research about the method to measure the uncertainty degree of uncertain variables and to determine the allowable change range of these uncertain variables on the condition that the structural performance can satisfy the intended function. Secondly,according to the existing limit equilibrium analysis method on safety factor of karst roof under foundation pile under different failure modes,a response output model to the stabilization and security function of karst roof is set up;then the calculation method of the robust reliability index is brought forward by interval combination algorithm;so an uncertainty analysis method for the stability of karst roof under foundation pile based on Info-Gap theory is put forward. It not only has lower requirement for the message amount of engineering data but also can not know the random distribution shape of uncertain variables;and it is a supplement and improvement for the existing relative research. What?s more,because these uncertain variables are divided into design variables and design parameters in this method to achieve the dynamic analysis of allowable uncertain degree of design parameters under different design variables;thus,the method proposed has the function of not only passive reply but also active disposal. Finally,the rationality and feasibility of the method are verified by analysis of practical engineering example.
曹文贵,李 媛,翟友成. 基于Info-Gap理论的基桩下伏岩溶顶板稳定性的主动分析方法[J]. 岩石力学与工程学报, 2013, 32(2): 393-400.
CAO Wengui,LI Yuan,ZHAI Youcheng. ACTIVE ANALYSIS METHOD FOR STABILITY OF KARST ROOF UNDER FOUNDATION PILE BASED ON INFO-GAP THEORY. , 2013, 32(2): 393-400.
[1] 中华人民共和国国家标准编写组. GB50021—2001岩土工程勘察规范[S]. 北京:中国建筑工业出版社,2006.(The National Standards Compilation Group of People?s Republic of China. GB50021—2001 Code for investigation of geotechnical engineering[S]. Beijing:China Architecture and Building Press,2006.(in Chinese))
[2] 赵明华,袁腾方,黎 莉,等. 岩溶区桩端持力层岩层安全厚度计算研究[J]. 公路,2003,(1):124–128.(ZHAO Minghua,YUAN Tengfang,LI Li,et al. Computation study on safety thickness of bearing rock strata at ends of piles in karst region[J]. Highway,2003,(1):124–128.(in Chinese))
[3] 赵明华,陈昌富,曹文贵,等. 嵌岩桩桩端岩层抗冲切安全厚度研究[J]. 湘潭矿业学院学报,2004,18(4):41–45.(ZHAO Minghua,CHEN Changfu,CAO Wengui,et al. Analysis for the safe terrane thickness of punching-shear resistance at the end of rock-socketed piles[J]. Journal of Xiangtan Mining Institute,2004,18(4):41–45.(in Chinese))
[4] 赵明华,张 锐,胡柏学,等. 岩溶区桩端下伏溶洞顶板稳定性分析研究[J]. 公路交通科技,2009,26(6):13–16.(ZHAO Minghua,ZHANG Rui,HU Baixue,et al. Analysis of stability of cave roof under pile tip in karst area[J]. Journal of Highway and Transportation Research and Development,2009,26(6):13–16.(in Chinese))
[5] 赵明华,程 晔,曹文贵. 桥梁基桩桩端溶洞顶板稳定性的模糊分析研究[J]. 岩石力学与工程学报,2005,24(8):1 376–1 383. (ZHAO Minghua,CHENG Ye,CAO Wengui. Fuzzy method for the stability analysis of cave roof under pile tip in karst region[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1 376– 1 383.(in Chinese))
[6] 曹文贵,颜艳芬,张永杰. 基桩桩端岩溶顶板稳定性模糊能度可靠性分析方法[J]. 岩石力学与工程学报,2009,28(1):88–94.(CAO Wengui,YAN Yanfen,ZHANG Yongjie. Fuzzy possibilistic reliability analysis method for stability of karst roof under pile tip[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(1):88–94.(in Chinese))
[7] 龚先兵,赵明华,张永杰. 桩端下伏溶洞顶板稳定非概率可靠性分析方法[J]. 湖南大学学报:自然科学版,2011,38(1):13–17. (GONG Xianbing,ZHAO Minghua,ZHANG Yongjie. Non-probabilistic reliability analysis method of karst roof stability under pile tip[J]. Journal of Hunan University:Natural Science,2011,38(1):13–17.(in Chinese))
[8] BEN-HAIM Y. Uncertainty,probability and information-gaps[J]. Reliability Engineering and System Safety,2004,85(1/3):249–266.
[9] BEN-HAIM Y. Information-gap decision theory:decisions under severe uncertainty[M]. 2nd Ed. San Diego:Academic Press,2006:14–30.
[10] BEN-HAIM Y. Value-at risk with Info-Gap uncertainty[J]. The Journal of Risk Finance,2005,6(5):388–403.
[11] 苏永华,李 翔. 基于Info-Gap理论的地下结构稳健性分析方法[J]. 岩土工程学报,2011,33(2):227–233.(SU Yonghua,LI Xiang. Robust reliability analysis for underground structures based on Info-Gap theory[J]. Chinese Journal of Geotechnical Engineering,2011,33(2):227–233.(in Chinese))
[12] 《工程地质手册》编写委员会. 工程地质手册[M]. 4版. 北京:中国建筑工业出版社,2007:143–145.(The Compilation Committee of Engineering Geology Handbook. Engineering geology handbook[M]. 4th ed. Beijing:China Architecture and Building Press,2007:143–145.(in Chinese))
[13] 陈祖煜,汪小刚,杨 健. 岩质边坡稳定分析——原理•方法•程序[M]. 北京:中国水利水电出版社,2005:245–269.(CHEN Zuyu,WANG Xiaogang,YANG Jian. Rock slope stability analysis——theory,methods,programs[M]. Beijing:China Water Power Press,2005:245–269.(in Chinese))
[14] 吕震宙,冯蕴雯,岳珠峰. 改进的区间截断法及基于区间分析的非概率可靠性分析方法[J]. 计算力学学报,2002,19(3):260–264.(LU Zhenzhou,FENG Yunwen,YUE Zhufeng. A advanced interval- truncation approach and non-probabilistic reliability analysis based on interval analysis[J]. Chinese Journal of Computational Mechanics,2002,19(3):260–264.(in Chinese))
[15] 曹文贵,张永杰. 基于区间组合法的边坡稳定非概率模糊可靠性分析方法[J]. 土木工程学报,2007,40(11):64–69.(CAO Wengui,ZHANG Yongjie. Non-probabilistic fuzzy reliability analysis of slope stability based on interval interconnection method[J]. China Civil Engineering Journal,2007,40(11):64–69.(in Chinese))
[16] 张永杰,曹文贵,赵明华. 基于承载力和沉降的条形基础稳定性区间非概率可靠性综合分析方法[J]. 岩石力学与工程学报,2009,28(4):805–812.(ZHANG Yongjie,CAO Wengui,ZHAO Minghua. Interval non-probabilistic reliavility comprehensive analysis method for strip foundation stability on bearing capacity and settlement[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(4):805–812.(in Chinese))
[17] 曹文贵,张永杰,杨期君. 岩体质量分类区间非线性模糊评判方法研究[J]. 岩石力学与工程学报,2007,26(3):620–625.(CAO Wengui,ZHANG Yongjie,YANG Qijun. Study on interval nonlinear fuzzy judgment method of rock mass classification[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(3):620–625.(in Chinese))
[18] 程 晔. 岩溶区高速公路路桥基础稳定性评价方法与应用研究[博士学位论文][D]. 长沙:湖南大学,2005.(CHENG Ye. Stability evaluation method and application of highway roadbed and bridge foundation in karst region[Ph. D. Thesis][D]. Changsha:Hunan University,2005.(in Chinese))