一个不协调时间有限元算法的改进

An improvement of incompatible time finite element algorithm

基于对位移与速度均用线性插值而得出的用于求结构动力响应的不协调时间有限元算法有着无条件稳定、高阶精度、良好的耗散和漂移特性，但该算法的动力学方程的阶数是系统自由度数的2倍和4倍，导致计算量的增加，针对此缺点讨论了一个新的迭代算法，并对算法进行了泛函分析，证明了算法的收敛性，又以一个两自由度问题和一个简支梁为例给出了数值验证，结果显示新的迭代算法不仅大大减少了计算量，而且保留了原算法的良好特性．

The one major drawback of the algorithm formula based upon a incompatible time finite element method is higher computational cost. In this paper the new iteration algorithn is presented for redueing computational cost and containing a unconditionally stability, higher-order accimyl good dissipation and dispersion, overshoot property.A functional analysis for propposed algorithm is described. At last, the numerical caleulation of the new iteration al gorithm for soluving problem of multi-degree of freedom is given.