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Analytical model for response spectral ratio considering the effect of earthquake scenarios

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Abstract

The response spectral ratio (RSR) used to construct a design spectrum that incorporates site effects is conventionally assumed to be independent of an earthquake scenario in linear analysis. However, recent studies have found that the RSR varies significantly with an earthquake scenario, even in linear analysis. In this study, an analytical RSR model that incorporates the effect of an earthquake scenario is proposed. To this end, the mechanism behind the effect of earthquake scenarios, i.e., the variation in the RSR with an earthquake scenario, is systematically investigated by comparisons with the scenario-independent Fourier spectral ratio based on random vibration theory. The proposed RSR model is verified by comparing its results with those obtained from a SHAKE analysis considering a variety of actual soil conditions. Based on the proposed RSR model, the design spectrum incorporating site effects can be reasonably and easily constructed.

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All data generated or analyzed during this study are included in this published article.

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Available upon request.

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Acknowledgements

This study was partially supported by the National Natural Science Foundation of China (Grant No. 51738001). The authors are grateful for the support.

Funding

The research leading to these results received funding from the National Natural Science Foundation of China (Grant No. 51738001).

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Authors and Affiliations

  1. Department of Architecture, Kanagawa University, Yokohama, Japan

    Haizhong Zhang & Yan-Gang Zhao

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  1. Haizhong Zhang
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  2. Yan-Gang Zhao
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Contributions

HZ: conceptualization, methodology, writing-original draft preparation, investigation. Y-GZ: data curation, visualization, supervision, writing-reviewing and editing.

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Correspondence to Yan-Gang Zhao.

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Zhang, H., Zhao, YG. Analytical model for response spectral ratio considering the effect of earthquake scenarios. Bull Earthquake Eng 19, 5285–5305 (2021). https://doi.org/10.1007/s10518-021-01166-1

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