平行圆管空心双向板的超级有限元分析

Super Finite Element Analysis for Two-way Voided Slabs with Paralleled Circle-tubes

针对平行圆管空心双向板采用普通有限元方法进行分析特别耗时,甚至可能无法用计算机求解的问题,将超级有限元的基本思想和方法应用于这种结构的分析中,以达到简化计算的目的。采用考虑横向剪切变形影响的八节点平壳单元作为超级单元,以八节点三维实体等参数单元为子单元,给出了各自的位移模式及位移转换矩阵,并编制了相应的计算程序,对不同跨度、边长比和边界条件的空心板进行了超级有限元分析和普通有限元分析,通过对比上述2种方法的挠度计算结果,证明了超级有限元方法的简便实用性。

The two-way voided slabs with paralleled circle-tubes were increasingly applied in the floors of house building. Analyses of such slabs by the regular finite element method （FEM） were extremely time-consuming and sometimes could not work out solution if personal computer was used. The basic principle and method of super finite element had been adopted for analysis of such voided slabs structure so as to simplify calculation. Eight-node flat shell element with the effect of transversal shear deformation was selected as super-element and 3-D eight-node isoparametric solid element as sub-element. Their displacement modes and displacement transition matrix were presented and the relevant computing program was compiled. Voided slabs cases with different spans, length ratios and boundary conditions were computed by using super FEM and regular FEM respectively. Comparison between results of deflection from two methods shows that the super FEM is simple and practical.