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

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摘要针对因不能获得足够数据信息量而无法准确描述不确定参量的分布形态问题，引入Information-Gap(简称为Info-Gap)理论，首先，通过对不确定参量的不确定性程度度量方法和满足预定功能的不确定参量的允许不确定性程度变化幅度确定方法的研究，建立基桩下伏岩溶顶板稳定性的不确定性分析的稳健可靠度分析模型；然后，基于现有岩溶顶板安全系数在不同失稳模式下的极限平衡分析方法，建立基桩下伏岩溶顶板功能输出响应模型，并在此基础上，基于区间组合分析法，建立基桩下伏岩溶顶板稳定性的稳健可靠度指标确定方法，从而提出基于Info-Gap理论的基桩下伏岩溶顶板稳定性的不确定性分析新方法。该方法对数据信息量要求低，无需掌握不确定参量的分布形态，是对现有相关理论与方法的补充与完善；而且，由于该方法将不确定参量区分为设计变量和设计参数，实现基桩下伏岩溶顶板稳定性在不同设计变量下不确定设计参数的允许不确定性程度的动态分析，因而，使该新方法既具有被动应对功能，又具有主动处置功能。最后，通过工程实例分析，表明所提方法的可行性与合理性。

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关键词 ：桩基础, 岩溶, 基桩, 不确定性分析, Info-Gap理论, 岩溶顶板稳定性, 稳健可靠度指标

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.

Key words： pile foundations karst foundation pile uncertainty analysis Info-Gap theory stability of karst roof robust reliability index

收稿日期: 2012-07-18

引用本文:

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.

链接本文:

http://www.rockmech.org/CN/Y2013/V32/I2/393

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