瑞利阻尼介质有限元离散模型动力分析的数值稳定性  

Numerical stability of explicit finite element schemes for dynamic system with Rayleigh damping

作　　者：王进廷[1] 杜修力[2] 张楚汉[1] 

机构地区：[1]清华大学水利水电工程系,北京100084 [2]北京工业大学科技处,北京100022

出　　处：《地震工程与工程振动》2002年第6期18-24,共7页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金重点资助项目 (5 973 9180 )

摘　　要：本文针对几种有一般阻尼的动力系统数值积分的显式方法 ,讨论了阻尼对稳定性的影响 ,并建议了瑞利阻尼介质有限元离散模型中动力分析数值稳定性的实用稳定判别方法。For finite element analysis of a dynamic system with damping, two explicit numerical schemes are presented by the authors and compared with the central difference method and some other numerical schemes. The effects of Rayleigh damping on the stability of the system by using the aforementioned explicit integration schemes are discussed. A criterion is suggested for determination of the stability condition in finite element analysis of a dynamic system with Rayleigh damping.

关 键 词：离散模型 动力分析 阻尼介质 有限元 数值稳定性 频率 

分 类 号：TU311.3[建筑科学—结构工程] P315[天文地球—地震学]