Parameter prediction model of Clough-Penzien power spectrums considering random effects and ground motion synthesis

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (14) : 260-269.

DING Jiawei1,2, L Dagang1,2, CAO Zhenggang1,2

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Abstract

There have existed many investigations on the prediction equations of typical ground motion parameters, such as PGA, PGV, SAS, IA, DS, among other. However, there has been little research on prediction equations of power spectrum model parameters, which represent ground motion frequency-spectrum characteristics. In view of the close relationships between the spectral characteristics of ground motions and source characteristics, propagation path and site conditions, a prediction model of Clough-Penzien power spectrum model parameters is established in this paper based on the physical mechanism of ground motion propagation. In order to better describe the correlation between different records of different seismic events, considering the random effect of the model, the prediction random effect model of spectral parameters is established. The improved one-time iterative regression algorithm of random effects is used to conduct regression analysis on the prediction random effect models of various parameters of Clough-Penzien power spectrum model of various sites, and the model coefficients are determined. Finally, combing with the physical propagation model of phase spectrum and the prediction model of Clough-Penzien power spectrum parameters proposed in this paper, a random function model of "source propagation-site" physical propagation mechanism is constructed. It is shown by a practical example that the prediction equation model of spectral parameters proposed in this paper fits well with the actual power spectrum, and the time-frequency characteristics of the simulated seismic records are very close to those of the original seismic records, so it is helpful to seismic hazard, fragility, and risk analysis as well as seismic design and evaluation of engineering structures.

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Clough-Penzien power spectrum / parameter prediction model / random effect / regression analysis / ground motion synthesis

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DING Jiawei1,2, L Dagang1,2, CAO Zhenggang1,2. Parameter prediction model of Clough-Penzien power spectrums considering random effects and ground motion synthesis[J]. Journal of Vibration and Shock, 2023, 42(14): 260-269

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