The normalized inelastic displacement spectra for seismic response estimation of a SDOF system with a generalized flag-shaped hysteretic model
In order to develop the direct normalized inelastic displacement spectrum rather than the inelastic displacement ratio or reduction factor that is suitable for self-centering structures when subjected to near-fault pulse-like (NFPL) ground motions, the nonlinear time history analysis for a single de...
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| Veröffentlicht in: | Bulletin of earthquake engineering 2024-04, Vol.22 (6), p.3011-3029 |
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| creator | Wu, Yifeng Wang, Zijian Li, Aiqun Zhang, Guodong Fu, Jiangdi Wang, Hao |
| description | In order to develop the direct normalized inelastic displacement spectrum rather than the inelastic displacement ratio or reduction factor that is suitable for self-centering structures when subjected to near-fault pulse-like (NFPL) ground motions, the nonlinear time history analysis for a single degree of freedom (SDOF) system with a generalized flag-shaped (FS) hysteretic model is realized using Matlab software. A total of 85 NFPL records are arranged as the seismic input, the inherent viscous damping ratio,
ξ
, is respectively determined as 0.02 and 0.05 for typical steel and concrete structures, the variation range of all considered parameters, including the ductility, the vibration period, the energy dissipation coefficient and the post-yield stiffness ratio of the hysteretic model is specified, then the constant-ductility inelastic displacement spectra for different seismic records and different model parameters are calculated and statistically studied. It is found the normalization of the natural period and the displacement by the pulse period, namely
T
/
T
p
and
x
m
/
T
p
2
, can significantly reduce the variation of displacement spectra. The influence of the post-yield stiffness ratio ranging from 0 to 0.20 on the normalized spectra is slight and can be neglected. Besides, as
T
/
T
p
increases, the normalized displacement first increases and then slowly decreases, the normalized period corresponding to the peak displacement is approximately 1. When
T
/
T
p
is about less than 0.7, the displacement spectra are positively correlated with the ductility,
μ
, followed by a negative correlation between them as
T
/
T
p
grows larger. Moreover, increasing the energy dissipation coefficient will reduce the displacement response, but when the coefficient is greater than 1, its impact on the displacement is rather small. Finally, the equation of the normalized displacement spectra as a function of
T
/
T
p
and
μ
is proposed, in which an adjustment factor, Ω
β
, is added to account for the influence of the energy dissipation coefficient on the displacement spectra. |
| doi_str_mv | 10.1007/s10518-024-01886-0 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_3043561357</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3043561357</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-3a1b2f09fdd701500c2b89ad6f7bea66ee30954af691243b16ce06a05f398b4d3</originalsourceid><addsrcrecordid>eNp9kE1LxDAQhoMoqKt_wFPAc3TStGl7lPUTBA8qeAtpO9mttE3NdBH9Ef5msx_gzVOG8LzzMg9jZxIuJEB-SRIyWQhIUgGyKLSAPXYks1wJmWZ6fzODyLV8O2THRO8ASZaXcMR-XpbIBx9627Xf2PB2wM7S1Na8aWnsbI09DhOnEespWO584IQt9REISKMfCDlGvrdT6wfuHbf8-frpltMXTdjzz3Zaxq8FDhh2Fa6zC0FLO8Z5uaYCrvt632B3wg6c7QhPd--Mvd7evMzvxePT3cP86lHUSQ6TUFZWiYPSNU0OMgOok6oobaNdXqHVGlFBmaXW6VImqaqkrhG0hcypsqjSRs3Y-XbvGPzHKh5g3v0qDLHSKEhVpqWK8mYs2VJ18EQBnRlDvDR8GQlm7d1svZvo3Wy8G4ghtQ1RhIcFhr_V_6R-AbPLiMc</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3043561357</pqid></control><display><type>article</type><title>The normalized inelastic displacement spectra for seismic response estimation of a SDOF system with a generalized flag-shaped hysteretic model</title><source>SpringerLink Journals - AutoHoldings</source><creator>Wu, Yifeng ; Wang, Zijian ; Li, Aiqun ; Zhang, Guodong ; Fu, Jiangdi ; Wang, Hao</creator><creatorcontrib>Wu, Yifeng ; Wang, Zijian ; Li, Aiqun ; Zhang, Guodong ; Fu, Jiangdi ; Wang, Hao</creatorcontrib><description>In order to develop the direct normalized inelastic displacement spectrum rather than the inelastic displacement ratio or reduction factor that is suitable for self-centering structures when subjected to near-fault pulse-like (NFPL) ground motions, the nonlinear time history analysis for a single degree of freedom (SDOF) system with a generalized flag-shaped (FS) hysteretic model is realized using Matlab software. A total of 85 NFPL records are arranged as the seismic input, the inherent viscous damping ratio,
ξ
, is respectively determined as 0.02 and 0.05 for typical steel and concrete structures, the variation range of all considered parameters, including the ductility, the vibration period, the energy dissipation coefficient and the post-yield stiffness ratio of the hysteretic model is specified, then the constant-ductility inelastic displacement spectra for different seismic records and different model parameters are calculated and statistically studied. It is found the normalization of the natural period and the displacement by the pulse period, namely
T
/
T
p
and
x
m
/
T
p
2
, can significantly reduce the variation of displacement spectra. The influence of the post-yield stiffness ratio ranging from 0 to 0.20 on the normalized spectra is slight and can be neglected. Besides, as
T
/
T
p
increases, the normalized displacement first increases and then slowly decreases, the normalized period corresponding to the peak displacement is approximately 1. When
T
/
T
p
is about less than 0.7, the displacement spectra are positively correlated with the ductility,
μ
, followed by a negative correlation between them as
T
/
T
p
grows larger. Moreover, increasing the energy dissipation coefficient will reduce the displacement response, but when the coefficient is greater than 1, its impact on the displacement is rather small. Finally, the equation of the normalized displacement spectra as a function of
T
/
T
p
and
μ
is proposed, in which an adjustment factor, Ω
β
, is added to account for the influence of the energy dissipation coefficient on the displacement spectra.</description><identifier>ISSN: 1570-761X</identifier><identifier>EISSN: 1573-1456</identifier><identifier>DOI: 10.1007/s10518-024-01886-0</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Civil Engineering ; Coefficients ; Concrete structures ; Damping ; Damping ratio ; Degrees of freedom ; Ductility ; Earth and Environmental Science ; Earth Sciences ; Earthquake dampers ; Energy dissipation ; Energy exchange ; Environmental Engineering/Biotechnology ; Flags ; Geophysics/Geodesy ; Geotechnical Engineering & Applied Earth Sciences ; Ground motion ; Hydrogeology ; Hysteresis ; Mathematical models ; Original Article ; Parameters ; Seismic response ; Seismograms ; Spectra ; Stiffness ; Structural Geology ; Vibration ; Viscous damping</subject><ispartof>Bulletin of earthquake engineering, 2024-04, Vol.22 (6), p.3011-3029</ispartof><rights>The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-3a1b2f09fdd701500c2b89ad6f7bea66ee30954af691243b16ce06a05f398b4d3</cites><orcidid>0000-0002-6932-2329</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10518-024-01886-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10518-024-01886-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Wu, Yifeng</creatorcontrib><creatorcontrib>Wang, Zijian</creatorcontrib><creatorcontrib>Li, Aiqun</creatorcontrib><creatorcontrib>Zhang, Guodong</creatorcontrib><creatorcontrib>Fu, Jiangdi</creatorcontrib><creatorcontrib>Wang, Hao</creatorcontrib><title>The normalized inelastic displacement spectra for seismic response estimation of a SDOF system with a generalized flag-shaped hysteretic model</title><title>Bulletin of earthquake engineering</title><addtitle>Bull Earthquake Eng</addtitle><description>In order to develop the direct normalized inelastic displacement spectrum rather than the inelastic displacement ratio or reduction factor that is suitable for self-centering structures when subjected to near-fault pulse-like (NFPL) ground motions, the nonlinear time history analysis for a single degree of freedom (SDOF) system with a generalized flag-shaped (FS) hysteretic model is realized using Matlab software. A total of 85 NFPL records are arranged as the seismic input, the inherent viscous damping ratio,
ξ
, is respectively determined as 0.02 and 0.05 for typical steel and concrete structures, the variation range of all considered parameters, including the ductility, the vibration period, the energy dissipation coefficient and the post-yield stiffness ratio of the hysteretic model is specified, then the constant-ductility inelastic displacement spectra for different seismic records and different model parameters are calculated and statistically studied. It is found the normalization of the natural period and the displacement by the pulse period, namely
T
/
T
p
and
x
m
/
T
p
2
, can significantly reduce the variation of displacement spectra. The influence of the post-yield stiffness ratio ranging from 0 to 0.20 on the normalized spectra is slight and can be neglected. Besides, as
T
/
T
p
increases, the normalized displacement first increases and then slowly decreases, the normalized period corresponding to the peak displacement is approximately 1. When
T
/
T
p
is about less than 0.7, the displacement spectra are positively correlated with the ductility,
μ
, followed by a negative correlation between them as
T
/
T
p
grows larger. Moreover, increasing the energy dissipation coefficient will reduce the displacement response, but when the coefficient is greater than 1, its impact on the displacement is rather small. Finally, the equation of the normalized displacement spectra as a function of
T
/
T
p
and
μ
is proposed, in which an adjustment factor, Ω
β
, is added to account for the influence of the energy dissipation coefficient on the displacement spectra.</description><subject>Civil Engineering</subject><subject>Coefficients</subject><subject>Concrete structures</subject><subject>Damping</subject><subject>Damping ratio</subject><subject>Degrees of freedom</subject><subject>Ductility</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Earthquake dampers</subject><subject>Energy dissipation</subject><subject>Energy exchange</subject><subject>Environmental Engineering/Biotechnology</subject><subject>Flags</subject><subject>Geophysics/Geodesy</subject><subject>Geotechnical Engineering & Applied Earth Sciences</subject><subject>Ground motion</subject><subject>Hydrogeology</subject><subject>Hysteresis</subject><subject>Mathematical models</subject><subject>Original Article</subject><subject>Parameters</subject><subject>Seismic response</subject><subject>Seismograms</subject><subject>Spectra</subject><subject>Stiffness</subject><subject>Structural Geology</subject><subject>Vibration</subject><subject>Viscous damping</subject><issn>1570-761X</issn><issn>1573-1456</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMoqKt_wFPAc3TStGl7lPUTBA8qeAtpO9mttE3NdBH9Ef5msx_gzVOG8LzzMg9jZxIuJEB-SRIyWQhIUgGyKLSAPXYks1wJmWZ6fzODyLV8O2THRO8ASZaXcMR-XpbIBx9627Xf2PB2wM7S1Na8aWnsbI09DhOnEespWO584IQt9REISKMfCDlGvrdT6wfuHbf8-frpltMXTdjzz3Zaxq8FDhh2Fa6zC0FLO8Z5uaYCrvt632B3wg6c7QhPd--Mvd7evMzvxePT3cP86lHUSQ6TUFZWiYPSNU0OMgOok6oobaNdXqHVGlFBmaXW6VImqaqkrhG0hcypsqjSRs3Y-XbvGPzHKh5g3v0qDLHSKEhVpqWK8mYs2VJ18EQBnRlDvDR8GQlm7d1svZvo3Wy8G4ghtQ1RhIcFhr_V_6R-AbPLiMc</recordid><startdate>20240401</startdate><enddate>20240401</enddate><creator>Wu, Yifeng</creator><creator>Wang, Zijian</creator><creator>Li, Aiqun</creator><creator>Zhang, Guodong</creator><creator>Fu, Jiangdi</creator><creator>Wang, Hao</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7ST</scope><scope>7TG</scope><scope>7TN</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H96</scope><scope>KL.</scope><scope>KR7</scope><scope>L.G</scope><scope>SOI</scope><orcidid>https://orcid.org/0000-0002-6932-2329</orcidid></search><sort><creationdate>20240401</creationdate><title>The normalized inelastic displacement spectra for seismic response estimation of a SDOF system with a generalized flag-shaped hysteretic model</title><author>Wu, Yifeng ; Wang, Zijian ; Li, Aiqun ; Zhang, Guodong ; Fu, Jiangdi ; Wang, Hao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-3a1b2f09fdd701500c2b89ad6f7bea66ee30954af691243b16ce06a05f398b4d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Civil Engineering</topic><topic>Coefficients</topic><topic>Concrete structures</topic><topic>Damping</topic><topic>Damping ratio</topic><topic>Degrees of freedom</topic><topic>Ductility</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Earthquake dampers</topic><topic>Energy dissipation</topic><topic>Energy exchange</topic><topic>Environmental Engineering/Biotechnology</topic><topic>Flags</topic><topic>Geophysics/Geodesy</topic><topic>Geotechnical Engineering & Applied Earth Sciences</topic><topic>Ground motion</topic><topic>Hydrogeology</topic><topic>Hysteresis</topic><topic>Mathematical models</topic><topic>Original Article</topic><topic>Parameters</topic><topic>Seismic response</topic><topic>Seismograms</topic><topic>Spectra</topic><topic>Stiffness</topic><topic>Structural Geology</topic><topic>Vibration</topic><topic>Viscous damping</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Yifeng</creatorcontrib><creatorcontrib>Wang, Zijian</creatorcontrib><creatorcontrib>Li, Aiqun</creatorcontrib><creatorcontrib>Zhang, Guodong</creatorcontrib><creatorcontrib>Fu, Jiangdi</creatorcontrib><creatorcontrib>Wang, Hao</creatorcontrib><collection>CrossRef</collection><collection>Environment Abstracts</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Oceanic Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Environment Abstracts</collection><jtitle>Bulletin of earthquake engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Yifeng</au><au>Wang, Zijian</au><au>Li, Aiqun</au><au>Zhang, Guodong</au><au>Fu, Jiangdi</au><au>Wang, Hao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The normalized inelastic displacement spectra for seismic response estimation of a SDOF system with a generalized flag-shaped hysteretic model</atitle><jtitle>Bulletin of earthquake engineering</jtitle><stitle>Bull Earthquake Eng</stitle><date>2024-04-01</date><risdate>2024</risdate><volume>22</volume><issue>6</issue><spage>3011</spage><epage>3029</epage><pages>3011-3029</pages><issn>1570-761X</issn><eissn>1573-1456</eissn><abstract>In order to develop the direct normalized inelastic displacement spectrum rather than the inelastic displacement ratio or reduction factor that is suitable for self-centering structures when subjected to near-fault pulse-like (NFPL) ground motions, the nonlinear time history analysis for a single degree of freedom (SDOF) system with a generalized flag-shaped (FS) hysteretic model is realized using Matlab software. A total of 85 NFPL records are arranged as the seismic input, the inherent viscous damping ratio,
ξ
, is respectively determined as 0.02 and 0.05 for typical steel and concrete structures, the variation range of all considered parameters, including the ductility, the vibration period, the energy dissipation coefficient and the post-yield stiffness ratio of the hysteretic model is specified, then the constant-ductility inelastic displacement spectra for different seismic records and different model parameters are calculated and statistically studied. It is found the normalization of the natural period and the displacement by the pulse period, namely
T
/
T
p
and
x
m
/
T
p
2
, can significantly reduce the variation of displacement spectra. The influence of the post-yield stiffness ratio ranging from 0 to 0.20 on the normalized spectra is slight and can be neglected. Besides, as
T
/
T
p
increases, the normalized displacement first increases and then slowly decreases, the normalized period corresponding to the peak displacement is approximately 1. When
T
/
T
p
is about less than 0.7, the displacement spectra are positively correlated with the ductility,
μ
, followed by a negative correlation between them as
T
/
T
p
grows larger. Moreover, increasing the energy dissipation coefficient will reduce the displacement response, but when the coefficient is greater than 1, its impact on the displacement is rather small. Finally, the equation of the normalized displacement spectra as a function of
T
/
T
p
and
μ
is proposed, in which an adjustment factor, Ω
β
, is added to account for the influence of the energy dissipation coefficient on the displacement spectra.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10518-024-01886-0</doi><tpages>19</tpages><orcidid>https://orcid.org/0000-0002-6932-2329</orcidid></addata></record> |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Civil Engineering Coefficients Concrete structures Damping Damping ratio Degrees of freedom Ductility Earth and Environmental Science Earth Sciences Earthquake dampers Energy dissipation Energy exchange Environmental Engineering/Biotechnology Flags Geophysics/Geodesy Geotechnical Engineering & Applied Earth Sciences Ground motion Hydrogeology Hysteresis Mathematical models Original Article Parameters Seismic response Seismograms Spectra Stiffness Structural Geology Vibration Viscous damping |
| title | The normalized inelastic displacement spectra for seismic response estimation of a SDOF system with a generalized flag-shaped hysteretic model |
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