Study on theory and application of vertical conditional spectra considering the correlation of horizontal and vertical spectral shapes of Chinese ground motions

WANG Xiaolei1, 2, JIN Yonghao1, ZHAO Zixu1, HE Wei1, YAN Weidong1

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (14) : 162-176.

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (14) : 162-176.
EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE

Study on theory and application of vertical conditional spectra considering the correlation of horizontal and vertical spectral shapes of Chinese ground motions

  • WANG Xiaolei*1,2,JIN Yonghao1,ZHAO Zixu1,HE Wei1,YAN Weidong1
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Abstract

The theoretical and applied research on the conditional mean spectra of ground motion in China has been developed, but the research on vertical conditional spectra considering the correlation between the horizontal and vertical spectral shape of Chinese ground motion was still relatively insufficient. Based on the above research background, the vertical conditional spectrum theory was first introduced in this paper; then Chinese site-related ground motion prediction model was generated based on Chinese ground motion data, the marginal distribution and joint distribution of horizontal and vertical spectral shape of Chinese ground motion were constructed based on the Copula function, and the conditional mean spectral model considering acceleration correlation between horizontal and vertical spectral shape of Chinese ground motion was proposed. Finally, an applied case study was performed to generate horizontal and vertical conditional spectra for a nuclear power plant site in South China, and the joint horizontal and vertical ground motion records were selected based on the horizontal and vertical conditional spectra.The research results show that the horizontal and vertical spectral shape of Chinese ground motion can follow the bivariate normal distribution; the vertical conditional spectra theory proposed in this paper considering the correlation between the horizontal and vertical spectral shape of Chinese ground motion would generate the relevant vertical conditional spectra of the site in China, and could provide the matching target basis for the joint selection of horizontal and vertical ground motion of the site in China, and could provide the basis of vertical seismic fortification for high-rise structures, large-span bridge structures, and seismic isolation structures in high-intensity zones. 

Key words

spectral shape / correlation / conditional spectra / Chinese ground motions / multidimension

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WANG Xiaolei1, 2, JIN Yonghao1, ZHAO Zixu1, HE Wei1, YAN Weidong1. Study on theory and application of vertical conditional spectra considering the correlation of horizontal and vertical spectral shapes of Chinese ground motions[J]. Journal of Vibration and Shock, 2025, 44(14): 162-176

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