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Analysis of methods for determining the spring constant of ground foundation in seismic design of underground structures

LI Yingmin1,2,WANG Lu 1,2,LIU Yangbing1,2,LIU Liping1,2(1.School of Civil Engineering,Chongqing University,Chongqing 400045,China;2.Key Laboratory of New Technology for Construction of Cities in Mountain Area,Chongqing University,Ministry of Education,Chongqing 400045,China)  
Model of load-structure is widely applied in seismic design of underground structure,and the methods for determining the spring constant of the model is very important.In order to calculate the spring constant of ground foundation conveniently and reliably,empirical formulas are proposed on the basis of the formula of coefficient of subgrade reaction.Coefficients of proposed formulas are fitted by using the results calculated from finite element analysis,and then the formulas are expanded to be used in layered soil.Examples are selected to verify the rationality and accuracy of proposed formulas.Then the spring constant of a subway station structure is calculated respectively by using proposed formula,Japanese seismic code formula and finite element method.Furthermore,on the basis of three different kinds of spring constants,the structural internal forces under earthquake are calculated and compared.
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