Seismic Time History Data Precision and Time Interval Requirement

Dali Li
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Abstract

This paper provides the seismic time history data precision and time interval requirement for seismic dynamic analysis. U.S.NRC SRP 3.7.1 “Seismic Design Parameters” Acceptance Criteria for Design Time Histories specifies the power spectral density Nyquist Frequency, time interval, and total duration; however, it does not have the requirement for Response Spectra. The response spectrum bandwidth is inverse-proportional to time interval of the time history. For the time interval of 0.005 seconds, the bandwidth for the response spectrum is between 0.194 Hz and 80.5 Hz; the PSD Nyquist frequency is 100 Hz. For 20.48 seconds time history, 4096 data points are required. The response spectrum between 1.28 Hz and 13.6 Hz has the peak flat magnitude value; the magnitude drops to 0.707 of the peak value from 1.28 Hz to 0.194 Hz and from 13.6 Hz to 80.5 Hz. This paper also provides the time interval requirement for various response spectrum peak flat magnitude value; i.e., the response spectrum highest flat magnitude of 27.2 Hz requires a time interval of 0.0025 seconds time history. For 20.48 seconds time history, 8192 data points are required. For CSDRS, the time interval of 0.005 seconds is adequate for the frequency range of interest between 0.36 Hz and 57.2 Hz. For HRHF, the time interval of 0.0025 seconds is required to analyze the frequency range of interest between 0.36 Hz and 114.4 Hz.
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地震时程数据精度和时间间隔要求
提出了地震动力分析时程资料精度和时间间隔要求。usnrc SRP 3.7.1“抗震设计参数”设计时程的验收标准规定了功率谱密度、奈奎斯特频率、时间间隔和总持续时间;但对响应谱没有要求。响应谱带宽与时程的时间间隔成反比。在0.005秒的时间间隔内,响应谱带宽在0.194 ~ 80.5 Hz之间;PSD奈奎斯特频率为100hz。对于20.48秒的时间历史,需要4096个数据点。1.28 Hz ~ 13.6 Hz之间的响应谱有峰值平坦幅度值;从1.28 Hz到0.194 Hz,从13.6 Hz到80.5 Hz,震级下降到峰值的0.707。给出了各响应谱峰平坦幅度值的时间间隔要求;即,响应谱的最高平坦幅度为27.2 Hz,需要0.0025秒的时间间隔。对于20.48秒的时间历史,需要8192个数据点。对于CSDRS, 0.005秒的时间间隔对于0.36 Hz和57.2 Hz之间的感兴趣频率范围是足够的。对于HRHF,需要0.0025秒的时间间隔来分析0.36 Hz和114.4 Hz之间的感兴趣频率范围。
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