应用杂交位移法推导变厚板单元的尝试

 本文推导与试验了一种变厚板单元,属于三变量杂交位移模型,其有关矩阵以显式表达,关于该类模型之演生与应用也略予讨论。文中指出三变量杂交位侈法较之二变量杂交位移法更适于分析变厚度板,同时指出应用三变量法导出单元具体公式的两种可能性。

AN ATTEMPT TO DERIVE A VARYING THICKNESS PLATE ELEMENT FROM HYBRID DISPLACEMENT METHOD

A varying thickness plate element belonging to three-variables hybrid displacement model is derived and tested. The matrices of this element are expressed in explicit form. Derivation and application of hybrid displacement model are also discussed briefly. It is pointed out that the functional of hybrid displacement model with three-variables is more directly than that with two-variables when they are used in derivation of varying thickness plate element. It is also cleared up that there are two possibilities to obtain concrete expressions of element matrices when three-variables functional is adopted.Numerical calculations for some specific examples are obtained and compared with existed exact solutions. The results obtained are better than those from Slyper's Nonconforming model which is commonly used in engineering, and superior to those from the simplified hybrid displacement model developed by the authors of this paper formerly.