基于组合拱理论隧道锚喷支护稳定可靠度求解的一维积分方法

doi:10.13722/j.cnki.jrme.2015.0039

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摘要基于组合拱原理和剪切滑移破坏模型，导出隧道锚喷支护结构功能函数。该函数表现为高度非线性隐式特征，同时基本参数间存在相关性，导致其可靠度求解困难。首先，引入基于半解析的Nataf变换以消除基本参数相关性的影响，将原始随机变量导入到标准正态空间中。其次，根据统计矩点估计法原理，依靠基本随机变量统计特征导出功能函数统计特征的矩估计公式。最后，根据统计矩与其变量的关系，以功能函数的前四阶矩为约束，基于最大熵理论导出功能函数的概率密度函数。构建基于组合拱理论的隧道锚喷支护稳定可靠度求解的一维数值积分方法。通过数值算例验证其准确性，最后分析荆竹山公路隧道支护结构的稳定可靠度，展示该方法的应用前景。

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关键词 ：隧道工程, 隧道锚喷支护结构, 可靠度, 一维积分, 点估计法, 最大熵原理

Abstract：A function describing the performance of tunnel lining with the protection of rock bolts and shotcrete was derived based on the theory of build-up arches and the failure model of shear slip. Because of the high nonlinear and implicit characteristics of the function and the correlation between the basic parameters，the reliability was difficult to be obtained. In order to eliminate the influence of the correlation between the basic parameters，the semi analytical Nataf transform was introduced，and thus the original random variables were converted into the standard normal space. According to the point estimate method，the moment estimation formula of the performance function was established on the statistical characteristics of basic random variables. According to the relationship between the statistical moment and variables，the probability density function was derived based on the maximum entropy principle with the constraint of the first four moments of the performance function. A one-dimensional numerical integral method of reliability analysis was then developed for structural stability of tunnel lining consisting of rock bolts and shotcrete based on build-up arch theory. The accuracy of the proposed approach was verified using a numerical example，and the reliability analysis for Jingzhushan highway tunnel was conducted.

Key words： tunnelling engineering tunnel lining consisting of rock bolts and shotcrete reliability index one- dimensional integral method point estimation method maximum entropy principle

引用本文:

苏永华，梁斌，刘少峰，李帅. 基于组合拱理论隧道锚喷支护稳定可靠度求解的一维积分方法[J]. 岩石力学与工程学报, 2015, 34(12): 2446-2454.
SU Yonghua，LIANG Bin，LIU Shaofeng，LI Shuai. ONE-DIMENSIONAL INTEGRAL METHOD OF RELIABILITY ANALYSIS FOR STRUCTURAL STABILITY OF TUNNEL LINING CONSISTING OF ROCKBOLTS AND SHOTCRETE BASED ON BUILD-UP ARCH THEORY. , 2015, 34(12): 2446-2454.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2015.0039 或 http://www.rockmech.org/CN/Y2015/V34/I12/2446

[2]	杨成永，张弥，白小亮. 隧道喷混凝土衬砌结构可靠度分析的位移方法[J]. 岩石力学与工程学报，2003，22(2)：266-269.(YANG Chengyong，ZHENG Mi，BAI Xiaoliang. Displacement-based method for reliability analysis of shotcrete lining of tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(2)：266-269.(in Chinese))
[6]	苏永华，方祖烈，高谦. 用响应面方法分析特殊地下岩体空间的可靠性[J]. 岩石力学与工程学报，2000，19(1)：55-58.(SU Yonghua，FANG Zulie，GAO Qian. Reliability analysis on special underground rockmass space TY response surface method[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(1)：55-58.(in Chinese))
[10]	RABCEWICZ L V，GOLSER J. Principles of dimensioning the supporting system for the “New Austrian Tunnelling Method”[J]. Water Power，1973，(3)：88-93. " target="_blank">
[14]	RACKWITZ R，FIESSLER B. Structural reliability under combined random load sequences[J]. Computers and Structures，1978，(9)：484-494. " target="_blank">
[1]	徐军，郑颖人，刘东升. 锚喷支护喷层结构的目标可靠度指标和分项系数研究[J]. 岩石力学与工程学报，2002，21(5)：671-674. (XU Jun，ZHENG Yingren，LIU Dongsheng. Research on object reliability index and partial coefficient of bolt-shotcrete lining for tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(5)：671-674.(in Chinese)) " target="_blank">
[3]	边亦海，黄宏伟，朱永全. 聚丙稀纤维网湿喷混凝土隧道衬砌结构的可靠度分析[J]. 石家庄铁道学院学报，2004，17(2)：11-13. (BIAN Yihai，HUANG Hongwei，ZHU Yongquan. Reliability analysis of wet shotcreting polypropylene fiber net tunnel lining[J]. Journal of Shijiazhuang Railway Institute，2004，17(2)：11-13.(in Chinese)) " target="_blank">
[7]	SIDDALL J N，DIAB Y. The use in probabilistic design of probability curves generated by maximizing the Shannon entropy function constrained by moments[J]. Journal of Engineering for Industry，1975，97(3)：843-852. " target="_blank">
[11]	DUNCAN FAMA M E. Numerical modeling of yield zones in weak rock[C]// HUDSON J A ed. Comprehensive Rock Engineering. Oxford：[s.n.]，1993：49-75. " target="_blank">
[15]	HOHENBICHLER M，RACKWITZ R. Non-normal dependent vectors in structural safety[J]. Journal of Engineering Mechanics，1981，107(6)：1 227-1 238. " target="_blank">
[17]	ROSENBLUETH E. Point estimates for probability moments[J]. Proceedings of the National Academy of Sciences，1975，72(10)：3 812-3 814. " target="_blank">
[5]	苏永华，李翔，徐能雄，等. 锚喷衬砌隧道结构稳定可靠度计算[J]. 土木工程学报，2011，44(3)：113-119.(SU Yonghua，LI Xiang，XU Nengxiong，et al. Calculation of reliability for the structural stability of tunnel linings consisting of rockbolts and shotcrete[J]. China Civil Engineering Journal，2011，44(3)：113-119. (in Chinese)) " target="_blank">
[9]	BADINELLI R D. Approximating probability density functions and their convolutions using orthogonal polynomials[J]. European Journal of Operational Research，1996，95(1)：211-230. " target="_blank">
[13]	范明桥，盛金保. 土强度指标φ，c的互相关性[J]. 岩土工程学报，1997，19(4)：100-104.(FAN Mingqiao，SHENG Jinbao. The cross correlation of soil strength indicators ? and c[J]. Chinese Journal of Geotechnical Engineering，1997，19(4)：100-104.(in Chinese))
[19]	郑俊杰，徐志军，刘勇，等. 基于最大熵原理的基桩竖向承载力的可靠度分析[J]. 岩土工程学报，2010，32(11)：1 643-1 647. (ZHENG Junjie，XU Zhijun，LIU Yong，et al. Reliability analysis for vertical bearing capacity of piles based on the maximum entropy principle[J]. Chinese Journal of Geotechnical Engineering，2010，32(11)：1 643-1 647.(in Chinese)) " target="_blank">
[4]	宋玉香. 铁路隧道初期衬砌支护结构随机有限元及可靠性分析[J]. 石家庄铁道学院学报，2008，21(1)：1-5.(SONG Yuxiang. Stochastic finite element and reliability analysis of primary support for railway tunneling[J]. Journal of Shijiazhuang Railway Institute，2008，21(1)：1-5.(in Chinese)) " target="_blank">
[8]	PANDEY M D. Direct estimation of quantile functions using the maximum entropy principle[J]. Structural Safety，2000，22(1)：61-79. " target="_blank">
[12]	徐干成，白洪才，郑颖人，等. 地下工程支护结构[M]. 北京：中国水利水电出版社，2001：87-93.(XU Gancheng，BAI Hongcai，ZHENG Yingren，et al. Supporting structure of underground engineering[M]. Beijing：China Water Power Press，2001：87-93.(in Chinese)) " target="_blank">
[16]	LIU P L，DER KIUREGHIAN A. Multivariate distribution models with prescribed marginals and covariances[J]. Probabilistic Engineering Mechanics，1986，1(2)：105-112. " target="_blank">
[18]	ZHAO Y G，ONO T. New point estimates for probability moments[J]. Journal of Engineering Mechanics，2000，126(4)：433-436. " target="_blank">