Abstract
Slopes have a significant impact on the ground motion characteristics, which can aggravate the damage degree of building structures during a strong earthquake. However, many studies have focused on the design response spectra under flat site conditions and fewer researchers have investigated the impact of slope topography on the design response spectra. In this study, the numerical simulation is used to obtain the seismic response of slopes and the differential evolution algorithm is used to obtain the standardized response spectra of the acceleration time histories along the ground surface behind the slope crest. The impacts of slope height (H), slope gradient (i), average shear wave velocity in the top 30 m (VS30) and distance from the slope crest (x) on the characteristic parameters of the design response spectra are then investigated. The results show that H, i, VS30 and x have a little influence on the normalized second inflection point period (mean(Tg/Tg,ff)) but a great influence on the normalized plateau value (mean(αmax/αmax,ff)). Specifically, both mean(Tg/Tg,ff) and mean(αmax/αmax,ff) show a trend from increasing first to decreasing and stabilizing finally as x increases; the mean(αmax/αmax,ff) shows an increasing trend as H increases, but a decreasing trend as i or VS30 increases. Finally, to provide some guidance for the seismic design of building structures near slopes, two approximate relationships are proposed: (1) between mean(Tg/Tg,ff) and x, and (2) between mean(αmax/αmax,ff) and H, i, VS30, x. The main innovation of this paper is that the relationship between the characteristic parameters of the design response spectra and the slope site characteristic parameters is clearly summarized and quantified for the first time.
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Data availability
The datasets generated during the current study are available from the corresponding author on reasonable request.
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Acknowledgements
The authors would like to thank the editor-in-chief Atilla Ansal and three anonymous reviewers for their helpful comments and suggestions, which greatly improved this paper.
Funding
This work was supported by the National Key Research and Development Program of China under Grant Number [2018YFD1100405].
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Yiming Li (First Author): Conceptualization, Methodology, Formal Analysis, Writing—Original Draft; Software, Validation. Guoxin Wang (Corresponding Author): Conceptualization, Resources, Supervision, Writing—Review & Editing, Funding Acquisition.
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Li, Y., Wang, G. Surface topography and site stratigraphy effects on the characteristic parameters of design response spectra. Bull Earthquake Eng (2024). https://doi.org/10.1007/s10518-024-01901-4
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DOI: https://doi.org/10.1007/s10518-024-01901-4