【摘要】 在研究和评估水工建筑物的抗震性能时,人工模拟地震波是一种常用的输入荷载。为此本文建立了地震动的随机数学模型,确定了白噪声平稳过程的基本参数,根据设计反应谱和功率谱,功率谱与幅值谱之间的关系,并以随机相位角和强度包络线为参数,建立了频谱曲线。利用MATLAB编制相应程序,以FFT变换和FFT逆变换建立时域和频域之间的关系,调试反应谱与设计反应谱之间的误码差,实现了人工地震动的生成。为了消除人工波中残余长周期分量的影响,本文利用最小二乘法拟合原始加速度均值,利用加速度均值对人工地震动加速度进行校正,纠正了位移时程的漂移。结果表明该方法计算精度高和收敛快。最后以生成的人工地震动为输入,计算工程结构的动力响应,以期对工程抗震设计提供参考和依据。更多还原

【Abstract】 In this study and the evaluation of seismic performance of hydraulic structures,artificial seismic waves is a common input loads. This paper establishes ground motion and stochastic mathematical models,determined the basic parameters in white noise stationary process,established a relationship between design response spectrum and the power spectrum,power spectrum and amplitude spectrum,established a spectral curve by regarding random phase angle and intensity of the envelope as a parameter,using MATLAB to compile corresponding programs,with FFT transform and FFT inverse transformation to establish the relationship between the time domain and frequency domain,debugged the error gap between computing response spectrum and the design response spectrum,achieved the purpose of generating artificial ground motion,to eliminate the impact of the residual long- period component in the artificial wave,this paper use the least squares method fitting of the original average acceleration,average acceleration was used the correction of artificially vibration acceleration,corrected the drift of displacement time history. Finally to created artificially vibration as the input,calculated to a dynamic response of the engineering structure,In order to provide a meaningful reference,in basis of the seismic design of engineering.更多还原