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基于随机理论中功率谱、傅立叶幅值谱及相位谱之间的关系,建立了与现行建筑抗震设计规范反应谱相对应、考虑地震动空间作用的地震波合成技术,并重点阐述了快速傅立叶变换技术(FFT)在地震波合成中的应用。针对目前对人工合成地震波检验主要集中在频域中的相干性检验,提出了对人工合成地震波在时域进行相关性检验的必要性。利用MATLAB编制了与规范反应谱相对应的地震波合成及检验程序,并对该程序的各项功能进行了数值验证。
Based on the relationship between power spectrum, Fourier amplitude spectrum and phase spectrum in stochastic theory, a seismic wave synthesis technique is established, which is corresponding to the seismic response code of seismic design code and takes into account the role of ground motion space. Emphasis is given to the Fast Fourier Transform (FFT) in seismic wave synthesis. In view of the current coherence test of synthetic seismic waves mainly in the frequency domain, the necessity of the correlation test of synthetic seismic waves in the time domain is proposed. The program of synthesizing and testing the seismic waves corresponding to the canonical response spectrum was compiled by MATLAB, and the functions of the program were verified by numerical methods.