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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.
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Received: 18 July 2012
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2013, Vol. 32 
