Exploring the dynamics of a class of post-tensioned, moment resisting frames
In this paper, we present an equivalent low-order nonlinear system that describes the dynamics of a generic class of post-tensioned frames. The proposed nonlinear single degree of freedom system is derived from energy considerations. We demonstrate that the equation of motion for the entire, planar,...
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| Veröffentlicht in: | Journal of sound and vibration 2011-07, Vol.330 (15), p.3710-3728 |
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| container_end_page | 3728 |
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| container_issue | 15 |
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| container_title | Journal of sound and vibration |
| container_volume | 330 |
| creator | Alexander, N.A. Oddbjornsson, O. Taylor, C.A. Osinga, H.M. Kelly, D.E. |
| description | In this paper, we present an equivalent low-order nonlinear system that describes the dynamics of a generic class of post-tensioned frames. The proposed nonlinear single degree of freedom system is derived from energy considerations. We demonstrate that the equation of motion for the entire, planar, post-tensioned frame is equivalent to the dynamics of a single tied rocking block on an elastic foundation. As validation for this analytical model we present physical tests (1/4 scale) undertaken at Bristol. Quasi-static push-pull-over tests and dynamic frequency sine sweep shake table tests are conducted on the physical model. Comparison of results indicate that the analytical model predicts both quasi-static nonlinear push-over and nonlinear dynamic resonant behaviour very well. Further numerical simulations on the analytical model identify the nonlinear resonant frequency backbone curves for a range of system parameters. We explore catchment basins of both Poincaré phase and system parameter spaces. In addition we describe failure boundaries and system integrity surfaces giving an indication as to likely bounds on forcing amplitudes. |
| doi_str_mv | 10.1016/j.jsv.2011.02.016 |
| format | Article |
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The proposed nonlinear single degree of freedom system is derived from energy considerations. We demonstrate that the equation of motion for the entire, planar, post-tensioned frame is equivalent to the dynamics of a single tied rocking block on an elastic foundation. As validation for this analytical model we present physical tests (1/4 scale) undertaken at Bristol. Quasi-static push-pull-over tests and dynamic frequency sine sweep shake table tests are conducted on the physical model. Comparison of results indicate that the analytical model predicts both quasi-static nonlinear push-over and nonlinear dynamic resonant behaviour very well. Further numerical simulations on the analytical model identify the nonlinear resonant frequency backbone curves for a range of system parameters. We explore catchment basins of both Poincaré phase and system parameter spaces. In addition we describe failure boundaries and system integrity surfaces giving an indication as to likely bounds on forcing amplitudes.</description><identifier>ISSN: 0022-460X</identifier><identifier>EISSN: 1095-8568</identifier><identifier>DOI: 10.1016/j.jsv.2011.02.016</identifier><identifier>CODEN: JSVIAG</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Applied sciences ; Building structure ; Buildings. Public works ; Construction (buildings and works) ; Dynamical systems ; Equivalence ; Exact sciences and technology ; Failure ; Fracture mechanics (crack, fatigue, damage...) ; Frames ; Fundamental areas of phenomenology (including applications) ; Mathematical analysis ; Mathematical models ; Nonlinear dynamics ; Nonlinearity ; Physics ; Reinforced concrete structure ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics</subject><ispartof>Journal of sound and vibration, 2011-07, Vol.330 (15), p.3710-3728</ispartof><rights>2011 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c392t-87e0d38ccfb0d4ffd04f36f8910621434d7bc3aff64f3e1690002a3d451d0c573</citedby><cites>FETCH-LOGICAL-c392t-87e0d38ccfb0d4ffd04f36f8910621434d7bc3aff64f3e1690002a3d451d0c573</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022460X11001209$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27903,27904,65309</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24189342$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Alexander, N.A.</creatorcontrib><creatorcontrib>Oddbjornsson, O.</creatorcontrib><creatorcontrib>Taylor, C.A.</creatorcontrib><creatorcontrib>Osinga, H.M.</creatorcontrib><creatorcontrib>Kelly, D.E.</creatorcontrib><title>Exploring the dynamics of a class of post-tensioned, moment resisting frames</title><title>Journal of sound and vibration</title><description>In this paper, we present an equivalent low-order nonlinear system that describes the dynamics of a generic class of post-tensioned frames. The proposed nonlinear single degree of freedom system is derived from energy considerations. We demonstrate that the equation of motion for the entire, planar, post-tensioned frame is equivalent to the dynamics of a single tied rocking block on an elastic foundation. As validation for this analytical model we present physical tests (1/4 scale) undertaken at Bristol. Quasi-static push-pull-over tests and dynamic frequency sine sweep shake table tests are conducted on the physical model. Comparison of results indicate that the analytical model predicts both quasi-static nonlinear push-over and nonlinear dynamic resonant behaviour very well. Further numerical simulations on the analytical model identify the nonlinear resonant frequency backbone curves for a range of system parameters. We explore catchment basins of both Poincaré phase and system parameter spaces. In addition we describe failure boundaries and system integrity surfaces giving an indication as to likely bounds on forcing amplitudes.</description><subject>Applied sciences</subject><subject>Building structure</subject><subject>Buildings. Public works</subject><subject>Construction (buildings and works)</subject><subject>Dynamical systems</subject><subject>Equivalence</subject><subject>Exact sciences and technology</subject><subject>Failure</subject><subject>Fracture mechanics (crack, fatigue, damage...)</subject><subject>Frames</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nonlinear dynamics</subject><subject>Nonlinearity</subject><subject>Physics</subject><subject>Reinforced concrete structure</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LxDAQxYMouK5-AG-9iB5snaRt2uJJxH-w4EXBW4jJRLO0zZqpot_erCsePc3weO_N8GPskEPBgcuzZbGkj0IA5wWIIilbbMahq_O2lu02mwEIkVcSnnbZHtESALqqrGZscfW56kP040s2vWJmv0Y9eENZcJnOTK_pZ10FmvIJR_JhRHuaDWHAccoikqdpnXVRD0j7bMfpnvDgd87Z4_XVw-Vtvri_ubu8WOSm7MSUtw2CLVtj3DPYyjkLlSulazsOUvD0lm2eTamdk0lHLrv0rdClrWpuwdRNOWfHm95VDG_vSJMaPBnsez1ieCfVtiClbHidnCf_OnmTLgoQUiQr31hNDEQRnVpFP-j4pTioNWO1VImxWjNWIFRSUubot16T0X2iMBpPf0FR8bYrq3X3-caHicqHx6jIeBwNWh_RTMoG_8-VbzQRkN8</recordid><startdate>20110718</startdate><enddate>20110718</enddate><creator>Alexander, N.A.</creator><creator>Oddbjornsson, O.</creator><creator>Taylor, C.A.</creator><creator>Osinga, H.M.</creator><creator>Kelly, D.E.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20110718</creationdate><title>Exploring the dynamics of a class of post-tensioned, moment resisting frames</title><author>Alexander, N.A. ; Oddbjornsson, O. ; Taylor, C.A. ; Osinga, H.M. ; Kelly, D.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-87e0d38ccfb0d4ffd04f36f8910621434d7bc3aff64f3e1690002a3d451d0c573</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied sciences</topic><topic>Building structure</topic><topic>Buildings. Public works</topic><topic>Construction (buildings and works)</topic><topic>Dynamical systems</topic><topic>Equivalence</topic><topic>Exact sciences and technology</topic><topic>Failure</topic><topic>Fracture mechanics (crack, fatigue, damage...)</topic><topic>Frames</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Nonlinear dynamics</topic><topic>Nonlinearity</topic><topic>Physics</topic><topic>Reinforced concrete structure</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Alexander, N.A.</creatorcontrib><creatorcontrib>Oddbjornsson, O.</creatorcontrib><creatorcontrib>Taylor, C.A.</creatorcontrib><creatorcontrib>Osinga, H.M.</creatorcontrib><creatorcontrib>Kelly, D.E.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Alexander, N.A.</au><au>Oddbjornsson, O.</au><au>Taylor, C.A.</au><au>Osinga, H.M.</au><au>Kelly, D.E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exploring the dynamics of a class of post-tensioned, moment resisting frames</atitle><jtitle>Journal of sound and vibration</jtitle><date>2011-07-18</date><risdate>2011</risdate><volume>330</volume><issue>15</issue><spage>3710</spage><epage>3728</epage><pages>3710-3728</pages><issn>0022-460X</issn><eissn>1095-8568</eissn><coden>JSVIAG</coden><abstract>In this paper, we present an equivalent low-order nonlinear system that describes the dynamics of a generic class of post-tensioned frames. The proposed nonlinear single degree of freedom system is derived from energy considerations. We demonstrate that the equation of motion for the entire, planar, post-tensioned frame is equivalent to the dynamics of a single tied rocking block on an elastic foundation. As validation for this analytical model we present physical tests (1/4 scale) undertaken at Bristol. Quasi-static push-pull-over tests and dynamic frequency sine sweep shake table tests are conducted on the physical model. Comparison of results indicate that the analytical model predicts both quasi-static nonlinear push-over and nonlinear dynamic resonant behaviour very well. Further numerical simulations on the analytical model identify the nonlinear resonant frequency backbone curves for a range of system parameters. We explore catchment basins of both Poincaré phase and system parameter spaces. In addition we describe failure boundaries and system integrity surfaces giving an indication as to likely bounds on forcing amplitudes.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.jsv.2011.02.016</doi><tpages>19</tpages></addata></record> |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Applied sciences Building structure Buildings. Public works Construction (buildings and works) Dynamical systems Equivalence Exact sciences and technology Failure Fracture mechanics (crack, fatigue, damage...) Frames Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical models Nonlinear dynamics Nonlinearity Physics Reinforced concrete structure Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics |
| title | Exploring the dynamics of a class of post-tensioned, moment resisting frames |
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