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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．
Based on the linear interpolation of displacement and velocity, the uncoordinated time finite element method used to find the dynamic response of the structure has unconditional stability, high-order precision, good dissipation and drift characteristics. However, the dynamic equation The order is 2 times and 4 times of the degree of freedom of the system, which leads to the increase of computational complexity. A new iterative algorithm is discussed according to this shortcoming, and the algorithm is analyzed by functional analysis. The convergence of the algorithm is proved. The degree of freedom problem and a simply supported beam are given as numerical examples. The results show that the new iterative algorithm not only greatly reduces the computational complexity, but also retains the good characteristics of the original algorithm.