中文摘要：

在Newmark精细直接积分法的基础上。应用高斯积分与精细指数运算。提出该方法的两种逐步积分格式。文中对两种积分格式的稳定性和精度进行了分析。经过分析比较，第1种逐步积分格式计算精度较高，其稳定性明显地满足算法稳定性分析的条件；而第2种积分格式计算精度相对较差，且是不稳定的。因此本文将第1种积分格式应用于结构的地震反应分析中。算例表明。该逐步积分格式对地震作用有很好的适应性。

英文摘要：

Based on the direct Newmark precise integration method, two step-by-step integral schemes are presented by applying the Gauss integration algorithm and the precise exponential matrix calculation. The accuracy and stability of these two integral schemes are analyzed. By comparing the two integral schemes, it can be seen that the precision of the first scheme is higher than that of the second one. The stability of the first scheme apparently satisfies the conditions of algorithmic stability analysis theory, while the second scheme is unstable. Therefore the first scheme is applied to the seismic response analysis of structures. Example shows the adaptability of the first integral scheme to the earthquake response analysis.