In this paper, a novel time-marching procedure is proposed for dynamic analysis. The proposed new technique is fourth-order accurate for undamped models; third-order accurate for numerically damped models; and second-order accurate for physically damped models. The method is very straightforward to implement and to apply, allowing providing higher-order accurate time-domain solutions taking into account basically the same computational effort of standard single-step first- or second-order accurate time-marching procedures. Numerical examples are presented at the end of the paper, illustrating the excellent accuracy of the novel approach.

中文翻译：

---

用于动态分析的简单的高阶精确时间推进程序

在本文中，提出了一种新的时间推进程序用于动态分析。所提出的新技术对于无阻尼模型具有四阶精度；数值阻尼模型的三阶精度；物理阻尼模型的二阶精度。该方法非常易于实现和应用，允许提供高阶精确时域解决方案，同时考虑到与标准单步一阶或二阶精确时间推进程序基本相同的计算工作量。论文末尾提供了数值示例，说明了这种新颖方法的出色准确性。