上部结构-筏基-地基共同作用子结构法FEM分析
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摘要
应用子结构法理论,将上部结构刚度矩阵凝聚到筏板基础,同时将采用D-P模型的地基土体弹塑性刚度矩阵也凝聚到筏板基础上,建立了考虑上部结构、基础、地基共同作用的三维弹塑性有限元模型理论。利用此理论建立某工程框架结构裙楼-框架芯筒结构主楼-筏板基础-地基共同作用FEM模型,通过ANSYS程序对此模型进行数值模拟。结果表明,主楼结构的柱、梁应力在考虑共同作用比不考虑共同作用有增大趋势,群楼柱轴应力在考虑共同作用比不考虑共同作用小,而群楼梁弯应力却相反。并进一步分析得出考虑共同作用基础沉降差引起上部结构杆件应力重新分布,尤其是基础沉降差引起主楼的柱轴应力、梁弯应力的变化率大于群楼柱轴应力、梁弯应力的变化率的结论,该结论对以后工程设计有重要参考价值。
The stiffness matrix of the superstructure analysed by three dimensional substructure method was condensed from top to raft foundation,and the elastoplastic stiffness matrix of ground soil stimulated by D-P constitutive model was also condensed to raft foundation,the theory of 3D elastoplastic finite element model was set up considering interaction of superstructure,raft foundation and ground soil.The theory was applied to establish the 3D elastoplastic finite element model of frame structural skirt building-frame tube main building-raft foundation-ground soil.The model was numerically stimulated by the program of ANSYS.The results showed that the axial stress of column and the bending stress of beam of main building potentially increased compared with those of the building without considering the interaction and the axial stress of column of skirt building with considering interaction is smaller than that without interaction,while the bending stress of beam of skirt building is the opposite.Then,former analysis was studied profoundly considering interaction,it came into conclusion that the foundation subsidence differences caused by non uniform settlement of raft foundation insulted in redistribution of stress of superstructure,especially the rate of axial stress of column of main building and bending stress of beam of main building is bigger than the rate of the axial stress of column of skirt building and the bending stress of beam of skirt building,the conclusion will provide reference for engineering design.
引文
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