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Attenuation Law of the Equivalent Stiffness of Frame Superstructure Interacted With Box Foundation

Du Yongfeng(Dept.of Civil Engineering,Gansu Univ;of Tech.,Lanzhou 730050)Xu Tiesheng(Xi’an Jiao Tong University,Xi’an 710048)  
Based on the spatial structure system composed of frame,box foundation,andsoil under interaction,a general-purpose model for calculating the equivalant stiffness of theframe superstructure is established by using the energy method.A“propotional matrix”method is presented auording to equivalence of potential energy. An analytical formulae ofcontribution factor is derived indicating the partion of the stiffness which each story of theframe stracture contributes to the interaction.Some foudamental laws of stiffness contribu-tion attenuation if brought to light as follows:the stiffness contr,bution of a certain story inthe frame attenuates with the storey number increasing.
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