基于波动理论的水平成层场地地震波反演分析
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摘要
推导水平成层线粘弹性土体中垂直入射的剪切波的水平位移方程,按波动理论在频域内进行了反演分析;把地表测得的地震加速度记录通过Fourier变换,在频域内进行反演计算,求得地层某深度处(或基岩处)的地震加速度;通过Fourier反变换求得结构地震反应分析中所需的地震动。结果表明,在结构地震反应分析中对地震动记录进行反演分析是必要的。
The paper firstly formulates the horizontal displacement equation of vertical shear wave in linear visco-elastic soil which is herizontally layered,and makes inversion analysis based on wave theory in the frequency domain. The fourier transform is applied to trans form the earthquake acceleration records measured from the ground surface from the time domain to the frequency domain and the earthquake acceleration records are depicted in the frequency domain, and the earthquake accelerations of any soil layer(or bed rock) below the ground surface are obtained.Then,the inverse Fourier transform is applied to transform the earthquake accelerations from the frequency domain to the time domain,and the earthquake accelerations needed in structure seismic response analysis are obtained.The results indicate that inversion analysis of seismic wave records is necessary in structure seismic response analysis.
The paper firstly formulates the horizontal displacement equation of vertical shear wave in linear visco-elastic soil which is herizontally layered,and makes inversion analysis based on wave theory in the frequency domain. The fourier transform is applied to trans form the earthquake acceleration records measured from the ground surface from the time domain to the frequency domain and the earthquake acceleration records are depicted in the frequency domain, and the earthquake accelerations of any soil layer(or bed rock) below the ground surface are obtained.Then,the inverse Fourier transform is applied to transform the earthquake accelerations from the frequency domain to the time domain,and the earthquake accelerations needed in structure seismic response analysis are obtained.The results indicate that inversion analysis of seismic wave records is necessary in structure seismic response analysis.
引文
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[2]谢君斐,石兆吉.地面运动的反演及其在震害分析中的应用[J].地震工程与工程振动,1981,1(9):11-24.
[3]陈厚群,侯顺载,王均.拱坝自由场地震输入和反应[J].地震工程与工程振动,1990,10(6):53-64.
[4]廖振鹏.工程波动导引[M].北京:科学出版社,1996.
[5]史.地球物理学基础[M].北京:北京大学出版社,2002.
[6]徐芝纶.弹性力学简明教程[M].北京:高等教育出版社,1983.
[7]庄礼贤,尹协远,马晖扬.流体力学[M].安徽:中国科学技术大学出版社,1991.
[8]杨桂通.土动力学[M].北京:中国建材工业出版社,2000.
[9]马宏伟,吴斌.弹性动力学及其数值方法[M].北京:中国建材工业出版社,2000.
[10]王松涛,曹资.现代抗震设计方法[M].北京:中国建筑工业出版社,1997.
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