动力反应分析的显式积分方法及其稳定性

Newm ark-更新精细积分法是动力方程求解的隐式的时域逐步积分法,其稳定性条件非常容易满足。与隐式方法相比较,显式积分方法不需要求解耦联的方程组,可以有效地减少内存占用和机时耗费。因此,根据显式积分方法的特点和优点,基于Newm ark-更新精细积分法的基本思想,提出其显式积分格式。对显式积分方法的精度与稳定性进行了初步的分析,指出该显式积分方法具有极好的稳定性,其精度比隐式积分方法的精度稍低。随着时间步长的增加,其精度优于传统的方法。

An explicit integral method and the stability of dynamic response analysis

Newmark-renewal precise time step integration method is an implicit step-by-step integration method for dynamic response analysis,and its stable conditions are very easy to be satisfied.Compared with the implicit step-by-step integration method,the explicit integral scheme has some advantages,such as no need for coupled equations solution,less memory profiler and less amount of CPU time.Based on the characteristics of explicit integral method,an explicit scheme is presented for Newmark-renewal precise time step integration method.Accuracy and stability of explicit integral method are analyzed initially.The results show that explicit integral method has great stability and slightly lower precision than implicit integral method.With the increase of time step,the accuracy of explicit integral method is better than that of traditional scheme.