Response spectra-compatible artificial ground motion simulation considering iterative correlation and phase spectra
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摘要: 针对传统频域法拟合人工地震波过程中迭代效率低下的问题，本文提出使用考虑迭代相关的拟合方法与考虑相位谱的拟合方法相结合的综合方法，分别以 《公路桥梁抗震设计规范》 中的设计谱和核电厂设备抗震需求谱为拟合对象，对比了改进的综合方法与传统方法的优劣。结果显示：改进的综合方法对于目标设计谱的拟合精度较传统方法有明显提升，尤其是在反应谱的高频段和低频段；改进方法对于 《公路桥梁抗震设计规范》 中设计谱的拟合效果好于对核电厂设备抗震需求谱的拟合效果。Abstract: The iterative process of conventional frequency-domain method for simulating artificial ground motions is inefficient. To solve this problem, this paper proposed a new method considering iterative correlation and phase spectrum to generate artificial ground motion, targeting at design response spectrum in Specifications for Seismic Design of Highway Bridges and representative response spectra for nuclear plant equipments, and then discussed the charac-teristics of conventional method and the improved method. The result shows that new method achieves a significant improvement in simulation precision, especially in high frequency and low frequency ranges. Meanwhile, the method has a better performance in highway bridge response spectrum simulation than nuclear plant representative response spectrum simulation.
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Keywords:
- artificial ground motion /
- response spectra /
- phase spectra /
- iterative convergence
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图 1 使用传统方法（上）和改进方法（下）对三组随机相位谱的拟合结果对比
（a） 第一组；（b） 第二组；（c） 第三组
Figure 1. Comparison of simulated results for three sets of random phase spectra by conventional method （upper panels） with those by improved method （lower panels）
（a） The first set；（b） The second set；（c） The third set
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图 2 传统方法与改进方法在高频部分（上）和低频部分（下）的拟合程度局部对比
（a） 第一组；（b） 第二组；（c） 第三组
Figure 2. Comparison of simulated results in high frequency range （upper panels） and low frequency range （lower panels） by conventional method and improved method
（a） The first set；（b） The second set；（c） The third set
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图 3 使用改进方法在两组随机相位谱（图1a和1b下行）下生成的加速度波形
Figure 3. Two acceleration time-series generated by improved method by the two random phase spectra as shown in the lower panels of Figs. 1a and 1b
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图 4 使用三组随机相位谱通过传统方法与改进方法所生成的人工波反应谱拟合对比图
（a） 总体频段；（b） 低频段；（c） 高频段
Figure 4. Comparison of response spectra generated by conventional and improved methods with three sets of random phase spectra
（a） General frequencies；（b） Low frequencies；（c） High frequencies
表 1 改进方法和传统方法模拟人工地震反应谱的误差
Table 1 Errors of response spectra of artificial ground motions generated by conventional and improved methods
相位谱编号 反应谱平均误差 传统方法 改进方法 第一组 4.81% 1.40% 第二组 4.44% 1.37% 第三组 3.25% 1.60% 
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