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Varational Model of Spatial Interaltion of Box Foundation,Frame Structure and Soil

Du Yongfeng(Dept.of Civil Engineering.Gansu Univ,of Tech,Lanzhou,730050)Xu Tiesheng(Xi’an Jiaotong University, Xi’an,710049)Liu Changpu(Gansu Institute of Architectural Survey and Design, Lanzhou,730050)  
frame superstructure is condensed into a spatial“super” element by adoptingsubstructure method,and the box foundation is substituted with a bending-stiffness equiva- lent elastic plate supported on finite-layed elastic soil or winkle soil.Energy variationlmethod is eamployed to establish the mathematical model for the spatial interaction of theframe,soil,and box foundation. This model shows a clear- cut mechanical relationship a-mong the three parts and reasonably reflects the 3- D effect in their interaction. Besides,byusing condensing techniques, much cpmputational work is saved compared to other spatialanalysis method.
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