摘要
利用上层地震反应分析的一维模型,系统地讨论了波动数值模拟时域算法的基本概念.首先阐明了模拟上层下卧基岩的精确辐射条件与多次透射公式之间的关系,给出了实现精确辐射条件的简化方法;然后将此边界条件与土层有限元运动方程结合,提出了半无限土层地震反应的一种解耦的有限元算法。本文还进行了这一算法的数值模拟试验,讨论了时域算法较之常用频域算法的优点、复阻尼和粘性阻尼影响的差异以及研究与复阻尼理论对应的时域本构方程的意义。
The elementary concept of wave motion numerical simulation in time domain is discussed systematically by analyzing 1-D seismic response of soil layer in this pa- per. The relationship between accurate radiation condition of simulating bedrock underlying soil layers and multi - transmitting formula is clarified, and a simplified mothed of simulating accurate radiation condition is presented. By con- necting the boundary condition and finite element equations of motion, a uncoupling finite element algorithm, which is used to calculate seismic response of seim- infinite soil layers, is presented. The numerical simulation of the algorithm is tested, and the advantages of the algorithm in time domain over in frequency domain, the difference between complex damping and viscous damping, and the significance of complex damping constitutive equations in time domain are dis- cussed.
出处
《世界地震工程》
CSCD
1998年第3期26-31,共6页
World Earthquake Engineering
关键词
土层
地震反应
数值模拟
粘性阻尼
Artificial boundary Wave motion numerical simulation Complex damping Viscous damping