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Improvement and Parameter Identification of Bimodal Time Variables Modified by the Kanai-Tajimi Nonstationary Stochastic Model Using Strong Ground Motion Records

ZHONG Ting;CHEN Hui-guo;LIU Guo-cui;REN Jun-ru;Department of Civil engineering,Logistical Engineering University;  
The inversion of ground motion,a strong stochastic process with both amplitude and frequency dual nonstationary characteristics,is very difficult.Thus,finding a nonstationary ground motion modeling method that can simultaneously simulate ground motion characteristics and determine actual ground motion time-varying distribution characteristics has become an important endeavor in ground motion research.A genetic algorithm and quadratic optimization identification technique based on the Kanai-Tajimi power-spectrum filtering method proposed by Du Xiuli et al.are employed to improve the bimodal time-varying modified Kanai-Tajimi power spectral model and parameter identification method proposed by Vlachos et al.Additionally,a method for modeling time-varying power-spectrum parameters for ground motion is proposed.This method is ideal for improving the Kanai-Tajimi spectral model of earthquakes because it satisfies therequirements of high-and low-frequency power spectra by filtering the Kanai-Tajimi spectrum with a series of high-and low-pass filters.The nonstationary ground motion simulation method uses two random variables to accurately capture the second-order statistics of the original stochastic process by Liu Zhangjun,thereby providing an efficient and convenient approach for subsequent verification.The results of a Chi-Chi ground motion example verify that the improved bimodal time-variable Kanai-Tajimi nonstationary stochastic model shows good feasibility and effectiveness.The results of the present research provide an important reference for designing seismic waves during seismic analysis of major engineering structures.
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