分析实体-壳体组合结构及抗拉压平板-平面梁组合结构的一类过渡元素

本文建立了一类过渡元素,它与同阶次标准等参数实体（或平面）元素及超参数壳体（或平面梁）元素配合协调,可用来处理实体-壳体及抗拉压平板-平面梁这样的非标准交接组合结构。叙述了建立这类过渡元素的一般方式。给出了2次过渡元素的公式系统。数值计算结果表明,这类过渡元素是十分有效的。

A KIND OF TRANSITION FINITE ELEMENT FOR ANALYSIS OF SOLID-SHELL OR TENSILE PLATE-PLANE BEAM COMBINED STRUCTURES

A kind of transition finite element is developed. In coordinative combination with standard iso-parametric solid （or plane） elements and super-parametric shell （or plane beam） elements of the same order, this kind of transition element can be used to deal with non-standard joint combined structures such as solid-shell or tensile plate-plane beam structures.The procedure to develop this kind of transition element is as follows. On an interface or an edge of a standard iso-parametric solid element or on a boundary line of a standard iso-parametric plane element, the corresponding nodes of a super-parametric shell （or plane beam） element of the same order are placed instead of the nodes of the original solid （or plane） element. The shape functions for remained solid （or plane） element type nodes are the same as the corresponding ones for a standard iso-parametric solid （or plane） element. As regards shell （or plane beam） element type nodes the same shape functions are adopted as for a standard super-parametric shell（or plane beam） element.The formulation of equations for the quadratic transition element is presented in detail.The numerical results obtained have shown that this kind of transition finite element is very effective.