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基于连续介质模型的隧道衬砌结构可靠性研究
引用本文:伍国军,陈卫忠,刘豆豆,谭贤君.基于连续介质模型的隧道衬砌结构可靠性研究[J].岩土力学,2006,27(Z1):359-363.
作者姓名:伍国军  陈卫忠  刘豆豆  谭贤君
作者单位:1. 中国科学院 武汉岩土力学研究所,武汉 430071;2. 山东大学 岩土与结构工程研究中心,济南 250061; 3. 山东财政学院工商管理学院,济南 250014
基金项目:国家自然科学基金项目(No. 50579087,90510019)和交通部西部项目赞助。
摘    要:基于连续介质力学模型,提出了一种简单易行的可靠性分析方法,该方法能利用现行通用的有限元程序,能得到显式的功能函数,但又不同于响应面法。以公路隧道圆形隧洞的开挖支护为例,采用此方法将围岩参数c (黏聚力)、E,? 和二次衬砌厚度D作为随机变量,采用有限元程序得到单一变量变化下的衬砌轴应力值,进而拟合出衬砌轴应力关于单一随机变量的关系式,并通过多元线性或非线性回归得到衬砌轴应力关于所有随机变量的显示表达式,再对圆形隧洞的衬砌结构进行了敏感性和可靠性分析,得到了一些有意义的结论。

关 键 词:隧道  连续介质力学  可靠性  有限元法  
收稿时间:2006-06-18

Reliability analysis of tunnel lining based on continuum model
WU Guojun,CHEN Weizhong,LIU Doudou,TAN Xianjun.Reliability analysis of tunnel lining based on continuum model[J].Rock and Soil Mechanics,2006,27(Z1):359-363.
Authors:WU Guojun  CHEN Weizhong  LIU Doudou  TAN Xianjun
Institution:1. Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan 250061, China; 3. School of Business Administration, Shandong Institute of Finance, Jinan 250014, China
Abstract:Based on continuum mechanical model of rock mass, a new reliability analysis method is suggested to obtain an explicit expression which can fit practical needs, the new method makes it possible to use commercial FEM code and it differs from response-surface-method(RSM). The suggested method is applied to analyze a circular tunnel considering variation of mechanical parameters. Mechanical parameters c, E, ? and lining thickness D is considered as random variables. The variation law of axial stress in concrete lining with the variables is obtained; and multiple linear and nonlinear regression methods are applied to obtain the final expression of the axial stress in lining with all the variables. The sensitivity and reliability analysis of a circualr tunnel is made with the method. Some conclusions are drawn from the research work.
Keywords:tunnel  continuum mechanics  reliability  finite element method  
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