地震波斜入射情形下水平成层半空间自由场的时域计算

英文篇名：THE TIME-STEP NUMERICAL SIMULATION OF FREE FIELD MOTION OF LAYERED HALF-SPACE FOR INCLINED SEISMIC WAVES
中文刊名：吉林大学学报(地球科学版)
英文刊名：Journal of Changchun University of Science and Technology
作者：李山有 ; 王学良 ; 周正华
英文作者：LI Shanyou1 ; WANG Xueliang2 ; ZHOU Zhenghua1(1. Institute of Engineering Mechanics ; China Seismological Bureau ; Harbin150080 ; China ; 2. Chuxiong Normal College of Yunnan Province ; Chuxiong675000 ; China)
中文关键词：水平成层半空间 ; 地震波倾斜入射 ; 自由场 ; 时域算法
英文关键词：layered half-space ; inclined seismic wave ; free-field motion ; time-domain algorithm
出版日期：2003-07-30
机构：中国地震局工程力学研究所,云南省楚雄师范学院地理系,中国地震局工程力学研究所黑龙江哈尔滨150080 ,云南楚雄675000 ,黑龙江哈尔滨150080
年：2003
期：03
出版单位：吉林大学学报(地球科学版)

摘要

在应用有限元模拟地震工程中的波动散射问题时,为了计算边界节点的运动和实现波动能量的输入,必须首先确定边界节点的内行波场即背景水平成层半空间的自由场。利用显式有限差分法的内节点位移计算公式和基于水平成层介质波动传播特点建立的相邻节点间自由场运动的关系式,给出了计算水平成层半空间自由场的时域方程(以入射侧边界节点为例)。本方法是显式有限元意义上的数值精确解,可应用于近场波动数值模拟中内行波场与散射波场的时域同步模拟。
The innertransmitting wave motion, ie., the freefield motion in a layered halfspace background must be determined in order to calculate the motion of boundary nodes and input wave motion energy, when applying finite element in the simulation of the wave motion scattering problem. A time domain equation set is presented for calculating freefield motion of layered halfspace, taking side boundary nodes for the example. The equation set takes the consideration of decoupling motion equation of finite element and the relational formulae between neighboring nodes based on the horizontal propagating characteristics of a freefield motion system. The method gives a numerical exact solution in the sense of finite element, which can be applied to synchronized simulation of the innertransmitting and scattering wavemotion field in timedomain.

引文

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