Probabilistic predictor of seismic demand on SMRF based on natural-period-dependent spectrum intensity
Autor: | Yasuhiro Mori, Taishi Furukawa |
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Rok vydání: | 2021 |
Předmět: |
021110 strategic
defence & security studies Linear function (calculus) Mathematical analysis 0211 other engineering and technologies Probabilistic logic Mode (statistics) 020101 civil engineering 02 engineering and technology Building and Construction Function (mathematics) 0201 civil engineering Intensity (physics) Modal Distribution function Safety Risk Reliability and Quality Response spectrum Civil and Structural Engineering Mathematics |
Zdroj: | Structural Safety. 89:102040 |
ISSN: | 0167-4730 |
DOI: | 10.1016/j.strusafe.2020.102040 |
Popis: | The objectives of this study is to develop a framework for estimating the exceedance probability p ex of the maximum inter-story drift ratio (ISDR) at each story of an SMRF based on the previously proposed techniques for predicting the responses for a given ground motion, which comprises the use of the maximum displacement d max of the inelastic oscillator equivalent to the first mode of the original frame and takes into consideration a post-elastic first modal shape that would change as a function of d max of the oscillator. First, a simple technique for estimating p ex of the maximum displacement of the oscillators is proposed. It was found that the relationship between d max and the natural-period-dependent spectrum intensity SI μ can be modeled using a simple linear function. d max was then estimated as the intersection of the linear function and the integrated elastic response spectrum of a given ground motion. The post-elastic first modal shape changes complicated manner because of irregular formations of plastic hinges at the ends of members. Here, it is proposed that the p ex be approximated using a shifted-lognormal distribution function. The accuracy of the proposed method is investigated using five building models, and it is shown that a reasonable degree of accuracy can be obtained. Finally, the procedure for estimating the p ex values of the ISDR of the first inelastic mode is presented, and the p ex values of the total ISDR obtained on considering modal responses higher than the first are demonstrated. |
Databáze: | OpenAIRE |
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