Non stationary coherence functions related to sites and their engineering applications

LIN Qixiang1,2,3,4, PENG Gang1,2, ZHANG Qi1,2, CHEN Denghong1,2,CHEN Zhong5, XU Weizhong5

Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (19) : 144-152.

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (19) : 144-152.

Non stationary coherence functions related to sites and their engineering applications

  • LIN Qixiang1,2,3,4, PENG Gang1,2, ZHANG Qi1,2, CHEN Denghong1,2,CHEN Zhong5, XU Weizhong5
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Abstract

The influence of the site condition on the coherency of seismic ground motion was studied. First, based on the simulation of a non-stationary ground-motion field considering the wave-passage effect and site-response effect, the approach used for the estimation of coherency using wavelet transform was presented. Subsequently, the Fourier series non-stationary coherency model was formulated to analyze the effects of the site condition and the inter-station distance. The model was validated and used to generate the seismic ground motions of four points. A transmission tower-line system subjected to earthquakes was taken as a case study. The maximum inter-story displacement angle under uniform and non-uniform ground motion was analyzed. The numerical results show: (1) The Fourier series non-stationary coherency model can reflect the non-stationary and the spatial variation of ground motion with higher fitting precision; (2) The site condition had effects on five parameters in the Fourier series non-stationary coherency model. The inter-station distance had effects on three parameters in the Fourier series non-stationary coherency model. The effect of the site condition and inter-station distance should be considered.  (3) Comparing with the limit peak acceleration with respect the maximum inter-story displacement angle under uniform ground motion, the maximum inter-story displacement angle under non-uniform ground motion is lower. So the influence of full spatial variation should be considered in the seismic analysis of transmission tower-line systems.

Key words

non-stationary ground-motion / coherency / site condition / transmission tower-line system / maximum inter-story displacement angle / non-uniform ground-motion

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LIN Qixiang1,2,3,4, PENG Gang1,2, ZHANG Qi1,2, CHEN Denghong1,2,CHEN Zhong5, XU Weizhong5. Non stationary coherence functions related to sites and their engineering applications[J]. Journal of Vibration and Shock, 2023, 42(19): 144-152

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