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Near-optimal piecewise linear fits of static pushover capacity curves for equivalent SDOF analysis

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dc.contributor.author De Luca, F en
dc.contributor.author Vamvatsikos, D en
dc.contributor.author Iervolino, I en
dc.date.accessioned 2014-03-01T02:11:30Z
dc.date.available 2014-03-01T02:11:30Z
dc.date.issued 2012 en
dc.identifier.issn 00988847 en
dc.identifier.uri http://hdl.handle.net/123456789/29923
dc.subject Equivalent SDOF en
dc.subject Incremental dynamic analysis en
dc.subject Piecewise linear fit en
dc.subject Static pushover en
dc.title Near-optimal piecewise linear fits of static pushover capacity curves for equivalent SDOF analysis en
heal.type journalArticle en
heal.identifier.primary 10.1002/eqe.2225 en
heal.identifier.secondary http://dx.doi.org/10.1002/eqe.2225 en
heal.publicationDate 2012 en
heal.abstract The piecewise linear ('multilinear') approximation of realistic force-deformation capacity curves is investigated for structural systems incorporating generalized plastic, hardening, and negative stiffness behaviors. This fitting process factually links capacity and demand and lies at the core of nonlinear static assessment procedures. Despite codification, the various fitting rules used can produce highly heterogeneous results for the same capacity curve, especially for the highly-curved backbones resulting from the gradual plasticization or the progressive failures of structural elements. To achieve an improved fit, the error introduced by the approximation is quantified by studying it at the single-degree-of-freedom level, thus avoiding any issues related to multi-degree-of-freedom versus single-degree-of-freedom realizations. Incremental dynamic analysis is employed to enable a direct comparison of the actual backbones versus their candidate piecewise linear approximations in terms of the spectral acceleration capacity for a continuum of limit-states. In all cases, current code-based procedures are found to be highly biased wherever widespread significant stiffness changes occur, generally leading to very conservative estimates of performance. The practical rules determined allow, instead, the definition of standardized low-bias bilinear, trilinear, or quadrilinear approximations, regardless of the details of the capacity curve shape. © 2012 John Wiley & Sons, Ltd. en
heal.journalName Earthquake Engineering and Structural Dynamics en
dc.identifier.doi 10.1002/eqe.2225 en


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