Probability model of fully non-stationary ground motion with the target response spectrum compatible

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (2) : 32-38.

LIU Zhangjun1,2,LIU Zenghui1,LIU Wei1

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Abstract

Based on the intensity modulation function,a class of extended time-frequency modulation function for non-stationary ground motion was developed. In conjunction with the power spectral density function of stationary earthquake processes,an evolutionary power spectra model of fully non-stationary ground motion was established. The values of the model parameters were determined according to the Chinese code for seismic design of buildings. Applying the simulation method of hybrid spectral representation and random function for non-stationary stochastic processes,a complete set of representative seismic time-histories with assigned probabilities was obtained,and the average response spectrum of representative seismic time-histories was determined accordingly. In order to ensure the calculated average response spectrum to be in agreement with the design response spectrum,the average relative error and the maximum relative error were suggested to control the tolerance between the two response spectrums. The agreement was realized through three times iterative corrections for the evolutionary power spectra. The study provides a basis for the application of stochastic dynamics of structures in engineering practices.

Key words

earthquake ground motion / non-stationary processes / time-frequency modulation function / probability model / response spectrum / seismic design

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LIU Zhangjun1,2,LIU Zenghui1,LIU Wei1. Probability model of fully non-stationary ground motion with the target response spectrum compatible[J]. Journal of Vibration and Shock, 2017, 36(2): 32-38

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