基于“求逆犯规”修正方法的三维八结点非协调等参元

AN EIGHT—NODE THREE—DIMENSIONAL ISOPARAMETRIC ON—CONFORMING ELEMENT WITH HIGH PRECISION AND SEVERAL USES

本文提出的八结点六面体 Q_(MM6)单元是采用“求逆犯规”方法修正了 Taylor 教授等提出的二维非协调元 Q_M_6通过分片试验修正条件后,在文献[11]的基础上将其推广到三维等参元中得到的。该单元比 Taylor 教授等提出的 Q_(M6)单元计算量小且精度高。算例表明,Q_(MM6)单元对多种结构形式和载荷工况都有较好的适应性,在工程计算中有广泛的适用范围,特别是在梁板组合结构分析中具有特殊意义。将其推广到三维可变节点单元中(见文献[13])同样表现出良好的性能。

The eignt-node three-dimensional isoparametric nonconforming elemen Qmm6 Presented in this Paper,based on improving two-dimen-sional isoparametric non-conforming element Qm6 passed path test modification condition by professor Taylor et al.,using and stret-ching it for three-dimensional isoparametric element,was then derived. This element Qmm6 has an advantage over Qm6 presented by Taylor et al. in the time for computation and precision. The example showed that the element Qmm6 has the better feature of element,as the increase of the irregular degrees of the element. Then,the element Qmm6 can be used in many cases of engineering calculations,especially,for analysis of the structure of combined beam with Plate.