有阻尼动力方程显式积分方法的精度研究  

ON THE ACCURACY OF SEVERAL EXPLICIT INTEGRATION SCHEMES FOR DYNAMIC EQUATION WITH DAMPING

作　　者：王进廷[1] 张楚汉[1] 金峰[1] 

机构地区：[1]清华大学水利水电工程系,北京100084

出　　处：《工程力学》2006年第3期1-5,共5页Engineering Mechanics

基　　金：国家自然科学基金(50309005)

摘　　要：在动力问题分析中,一种好的显式积分方法不仅要具有良好的稳定性,而且还要具有良好的计算精度。对几种有阻尼动力方程显式积分方法的精度问题进行了分析,研究了各自的局部截断误差、数值阻尼比和相对周期误差。这一研究将有助于更加全面地了解这些积分格式的性能。The accuracy of characteristic analysis is as necessary for an explicit integration scheme as the stability property. In this paper, the accuracy characteristics of several explicit integration schemes for solving the dynamic equation with damping are studied to comprehensively understand their behaviors. The order of accuracy is obtained from local truncation errors. The dissipation and dispersion properties are analyzed. A numerical example is provided to verify the theoretical conclusions. It is shown that the scheme provided by Du et al. is favorable for dynamic analysis.

关 键 词：结构动力学 动力方程 显式积分 计算精度 数值阻尼 周期误差 

分 类 号：TU311.3[建筑科学—结构工程]