Dimension reduction simulation of ground motion considering randomness and correlation of site soil parameters

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (1) : 165-172.

LIU Zhangjun1,2, ZHENG Lihui1, RUAN Xinxin2

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Abstract

In order to consider effects of site conditions on characteristics of ground motion, in the evolutionary power spectrum model of non-stationary ground motion process, site soil parameters were taken as random variables and the corresponding random function forms were constructed. In the proposed random function expressions, both the randomness of site soil parameters and correlation among them were reflected, and probability distributions of site soil parameters were obtained directly using their digital features, such as, mean value, variation coefficient and correlation coefficient. At the same time, using the idea of random function dimension reduction, a dimension reduction simulation method based on non-deterministic spectral amplitude (NSA) was proposed to consider the randomness of both ground motion amplitude and phase. Based on the number theory method, representative time history sets of ground motion acceleration for different site types were generated. The results of numerical examples showed that randomness and correlation of site soil parameters have larger effects on intensity, frequency non-stationary characteristics and frequency components of ground motion acceleration time-histories. Finally, the dimension reduction simulation results were compared with acceleration response spectrum and Fourier amplitude spectrum of actually measured strong ground motion records to further verify the engineering applicability of the proposed method.

Key words

non-stationary ground motion / site conditions / random parameters / dimension reduction simulation / non-deterministic spectral amplitude

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LIU Zhangjun1,2, ZHENG Lihui1, RUAN Xinxin2. Dimension reduction simulation of ground motion considering randomness and correlation of site soil parameters[J]. Journal of Vibration and Shock, 2021, 40(1): 165-172

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