AN EMPIRICAL STUDY FOR STATISTICAL EVALUATION OF PEAK RESPONSE DISPLACEMENTS

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dc.contributor.authorTekin, Gülçin
dc.contributor.authorTanırcan, Gülüm
dc.date.accessioned2020-11-21T15:55:22Z
dc.date.available2020-11-21T15:55:22Z
dc.date.issued2019en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractIn this study, elastic response analyses of single degree of freedom (SDOF) structures under an extensive database of real earthquake excitation are investigated to clarify two particular issues: First is to determine whether the statistical distribution of ordered peaks in response displacement time histories follows Rayleigh distribution as it is a theoretical assumption valid for narrow band response of SDOF system with low damping value. Second is to look for a functional form to define amplitudes of the peaks in response displacement time histories as a function of structural period and response spectral displacement (Sd). Probability density functions (PDFs) were calculated for structural periods between 0.1-5 sec. using order statistics approach. Numerical results support that Rayleigh distribution describes the probabilistic characteristics of ordered peaks in elastic earthquake response adequately. Scale parameters of the distribution were calculated. It was observed that there is a clear logarithmic relationship between the peak number and the normalized peaks' amplitudes in displacement time histories. Hence, a nonlinear regression model was proposed to define the peaks' amplitudes in response displacement time histories of a SDOF system with known response Sd values and structural periods. In another words the model is capable of estimating number of times of a Sd that can be repeated by a structure without any damage. It is observed that even in the elastic systems, response values that are quite close to the value of the highest peak displacement are repeated many times. In general, for SDOF systems having natural period of vibration greater than or equal to 0.9 sec., oscillation having 90 % of the value of highest peak is repeated two times under the earthquake excitation. SDOF systems having natural period of vibration vary between 1 and 1.7 sec., ratio between second largest peak and Sd is about 95 %.Those calculations are essential for determining start of low-cycle fatigue behavior particularly for design of column-beam joints of steel structures or bridges.en_US
dc.description.sponsorshipTUBITAK, MAG, projectTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [109M755] -- The research described in this paper was supported by a grant from TUBITAK, MAG, 109M755 project. -- --en_US
dc.identifier.endpage624en_US
dc.identifier.issn1304-7205
dc.identifier.issn1304-7191
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85149928470en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage611en_US
dc.identifier.urihttps://hdl.handle.net/11467/3986
dc.identifier.volume37en_US
dc.identifier.wosWOS:000473338000024en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherYildiz Technical Univen_US
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences-Sigma Muhendislik Ve Fen Bilimleri Dergisien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectElastic single degree of freedom systemsen_US
dc.subjectearthquake response analysisen_US
dc.subjectregression analysisen_US
dc.subjectorder statistics approachen_US
dc.subjectamplitudes of the local maximum valuesen_US
dc.subjectlow-cycle fatigueen_US
dc.titleAN EMPIRICAL STUDY FOR STATISTICAL EVALUATION OF PEAK RESPONSE DISPLACEMENTSen_US
dc.typeArticleen_US

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