岩土工程学报
巖土工程學報
암토공정학보
CHINESE JOURNAL OF GEOTECHNICAL ENGINEERING
2015年
4期
601-607
,共7页
倾斜入射%成层场地%动力反应%界面子波%延时方程
傾斜入射%成層場地%動力反應%界麵子波%延時方程
경사입사%성층장지%동력반응%계면자파%연시방정
oblique incidence%horizontal layered site%dynamic response%interfacial wavelet%time delay equation
为提高成层半空间自由波场的一维化时域方法的计算效率和精度,分析了SH波在层状介质中的传播方式、旅行时间和反射系数等问题,基于惠更斯–菲涅耳波动观点,将波阻抗界面看作次级子波源(简称为界面子波),提出了倾斜入射地震波作用下成层场地动力反应的界面子波算法,并通过模型试算验证了此方法的正确性。与常规数值法相比,此方法无需划分网络单元,也无需处理人工边界条件,从而极大地减少了计算工作量和节点之间的传递误差,具有速度快、精度高、稳定性好等特点,是一种计算成层场地动力反应的实用方法。
為提高成層半空間自由波場的一維化時域方法的計算效率和精度,分析瞭SH波在層狀介質中的傳播方式、旅行時間和反射繫數等問題,基于惠更斯–菲涅耳波動觀點,將波阻抗界麵看作次級子波源(簡稱為界麵子波),提齣瞭傾斜入射地震波作用下成層場地動力反應的界麵子波算法,併通過模型試算驗證瞭此方法的正確性。與常規數值法相比,此方法無需劃分網絡單元,也無需處理人工邊界條件,從而極大地減少瞭計算工作量和節點之間的傳遞誤差,具有速度快、精度高、穩定性好等特點,是一種計算成層場地動力反應的實用方法。
위제고성층반공간자유파장적일유화시역방법적계산효솔화정도,분석료SH파재층상개질중적전파방식、여행시간화반사계수등문제,기우혜경사–비열이파동관점,장파조항계면간작차급자파원(간칭위계면자파),제출료경사입사지진파작용하성층장지동력반응적계면자파산법,병통과모형시산험증료차방법적정학성。여상규수치법상비,차방법무수화분망락단원,야무수처리인공변계조건,종이겁대지감소료계산공작량화절점지간적전체오차,구유속도쾌、정도고、은정성호등특점,시일충계산성층장지동력반응적실용방법。
Some properties of SH waves in layered media are analyzed such as propagating path, reflecting cofficent and travelling time in order to improve the accuracy and efficiency of 1-D finite element method dealing with seismic response problem of horizontal layered site for inclined SH waves in time domain. Based on the Huygens wave principle, impedance interfaces are regarded as the secondary sources or wavelet sources, which are called interfacial wavelets. The relation between interfacial wavelets can be expressed as a group of time delay equations, and the motion of interfaces can be obtained by solving the time delay equations. The earthquake motion can be ascertained from surface wavelets. The new method is called an interfacial wavelet algorithm and demonstrated by two corresponding numerical models. When using this method, mesh divisions and artificial boundary conditions need no treatment so that computing amount and transmission errors between nodes are reduced greatly. It is very fit to solve seismic response in layered media.