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人造地震波是结构地震输入的基本形式之一.本文分析了工程中反演人造地震波常用的三角级数法的特点,从新的角度研究人造地震波的反演方法.本文引入了时间序列分析中的自回归滑动平均模型(ARMA模型),通过对模型动态特性和统计特性的分析,指出用其描述工程地震动的可行性和方便性.然后将参数识别技术应用于模型参数的确定中,将ARMA模型数学建模的适用范围从一般对于地震序列的模拟拓广到对某一谱特性的拟合,并由此提出了利用ARMA模型和参数识别技术进行人造地震波仿真的新方法.最后通过对新规范中两条标准反应谱的拟合反造地震波,展示了这一方法的实用性.
Artificial seismic wave is one of the basic forms of structural earthquake input. In this paper, the characteristics of the trigonometric series method commonly used in engineering artificial seismic wave inversion are analyzed, and the artificial seismic wave inversion method is studied from a new perspective. In this paper, an autoregressive moving average model (ARMA model) in time series analysis is introduced. By analyzing the dynamic characteristics and statistical characteristics of the model, the feasibility and convenience of using it to describe the ground motion are pointed out. Then the parameter identification technology is applied to the determination of the model parameters. The range of mathematical modeling of the ARMA model is extended from the general simulation of the seismic series to the fitting of a spectral characteristic, and the ARMA model and A New Method of Artificial Seismic Wave Simulation with Parameter Identification Technology. At last, the practicality of this method is demonstrated by fitting the seismic wave to two standard response spectra of the new standard.