Semiloof广义协调元的分析

ANALYSIS OF GENERALIZED CONFORMING ELEMENT OF SEMILOOF TYPE

Ｓｅｍｉｌｏｏｆ元和广义协调元在结构工程中是行之有效的两种单元构造方法。ｓｅｎｉｉｌｏｏｆ广义协调九参数三角形板元从力学角度直接给出该元插值函数的显表达式，而构造方式的理论基础不甚明了。本文证明它等价于一种双参数元，从而证明了它的收敛性，并分析了它与Ｓｐｏｃｈｔ元的关系。

Semiloof element and generalized conforming element are efficient methods to con-struct elements in structural engeering. The nine-node triangular plate element based on the twometheds gives explicet formulations of the in terpolating functions.But the theoretical basis is notclear. In this paper it is proved that the generalized conforming element of semiloof type is equiva-lent to a double set parameter element. its convergence property is extablished and the relationshipof this element with Specht's element is discussed.