精化直接刚度法的不协调位移模式与收敛性分析

THE NON-CONFORMING DISPLACEMENT FUNCTIONS OF REFINED DIRECT STIFFNESS METHOD AND THEIR CONVERGENCE

摘要

摘要:基于精化直接刚度法的不协调位移模式及有限元收敛理论中的ＩＰＴ条件，建立了Ｃ￣０类可分离位移型精化元的收敛性充分条件——强ＩＰＴ条件。进一步推出一族平面及空间Ｃ￣０类精化元并验证了其收敛性。

Abstract:The non-conforming displacement functions of refined direct stiffness methodare presented. With the application of IPT test, a new convergence test, which is calledstrong-IPT test, for separable(C￣0)non-conforming element is established. The test is asufficient one for the convergence and particularly it is valid for the(C￣0)refined element. Inaddition,a class of(C￣0)refined element are proposed and they are proven to pass strong-IPTtest.