地震动摇摆分量的合成

Synthetic Rocking Accelerograms of Earthquake Ground Motions

基于入射体波(P和SV波)的波长和傅里叶幅值谱及干涉产生的面波(Rayleigh波)对地震动摇摆分量的影响,给出地震动摇摆分量合成公式.基于弹性波动理论和快速δ-矩阵算法求出设定地壳模型的面波频散曲线,同时考虑了入射体波和面波产生的摇摆分量,并基于Trifunac的研究给出地震动摇摆分量的合成过程.即由设定未来地震的地震震级M、震中距R和场地类别s等条件,利用修正的Trifunac合成公式以合成地震动平动分量,然后考虑体波和面波不同频率成分分量的贡献,合成地表一点处的地震动摇摆分量,并给出三联反应谱.

The influence of wavelength and Fourier amplitude spectra of the body wave （P and SV wave）, together with its interference surface waves （Rayleigh wave ） on the the rocking components of earthquake motions was explored, and the synthetic formula of rocking components of earthquake motions was obtained. The dispersion curve of surface wave in given crustal model was obtained based on the elastic-wave- theory and the fast δ-matrix algorithm. Meanwhile the synthetic process of the rocking components of earthquake motions involving incident body and surface waves was explored based on Trifunac＇ s research. The Trifunac＇ s composite formula was modified to generate translational components of earthquake motions, relevant to earthquake magnitude M, epicentral distance R, and site condition s. Then rocking components of earthquake motions of a spot of ground surface were generated according to the differential frequency of body and surface waves, and corresponding tripartite response spectrum was given.