中文摘要：

解决结构的动态回答和相应时间集成公式的精确集成方法由二部分组成：有向量和集成术语的一个指数的矩阵的增加。第二个术语能被系列答案解决。二个混合颗粒度平行算法被设计，也就是说，指数的矩阵和第一个术语被有细密纹理的平行算法计算，第二个术语被纹理粗糙的平行算法计算。数字例子证明这二个混合颗粒度平行算法比二存在平行获得更高的加速和平行效率算法。

英文摘要：

Precise integration methods to solve structural dynamic responses and the corresponding time integration formula are composed of two parts： the multiplication of an exponential matrix with a vector and the integration term. The second term can be solved by the series solution. Two hybrid granularity parallel algorithms are designed, that is, the exponential matrix and the first term are computed by the fine-grained parallel algorithra and the second term is computed by the coarse-grained parallel algorithm. Numerical examples show that these two hybrid granularity parallel algorithms obtain higher speedup and parallel efficiency than two existing parallel algorithms.