Amirkabir University of TechnologyAmirkabir Journal of Civil Engineering2588-297X48420161121Estimation of Median Incremental Dynamic Analysis Curve Using Ranking of Strong Motion RecordsEstimation of Median Incremental Dynamic Analysis Curve Using Ranking of Strong Motion Records41942850410.22060/ceej.2015.504FAA.YazdaniAssociate Professor, Department of Engineering, University of KurdistanH.BaharmastM.Sc. Student, Department of Engineering, University of KurdistanS.RazmyanAssistant Professor, Department of Mathematics, Firoozkuh Branch of Islamic Azad UniversityJournal Article20130801Incremental dynamic analysis (IDA) is a parametric analysis method that is used in estimation of structural<br />performance by subjecting the structural model to multiple suitably scaled ground motion records, each<br />scaled to multiple levels of intensity, thus produce several curves of response parameterized by intensity<br />level. Recognizing that IDA of practical structures is computationally demanding, an approximate<br />procedure based on the reduction of the number of ground motions is developed. A methodology based<br />on data envelopment analysis, mathematical programming that can handle large numbers of variables<br />and relations is proposed to reduce the number of ground motions needed for the production of a reliable<br />median incremental dynamic analysis curve. Theses curves computed by the exact and approximate<br />procedures for two different 4- and 8-storey buildings and one set of ground motions is presented.<br />The results demonstrate that the approximate procedure which uses a limited number of input ground<br />motions has the error less than about 5%.Incremental dynamic analysis (IDA) is a parametric analysis method that is used in estimation of structural<br />performance by subjecting the structural model to multiple suitably scaled ground motion records, each<br />scaled to multiple levels of intensity, thus produce several curves of response parameterized by intensity<br />level. Recognizing that IDA of practical structures is computationally demanding, an approximate<br />procedure based on the reduction of the number of ground motions is developed. A methodology based<br />on data envelopment analysis, mathematical programming that can handle large numbers of variables<br />and relations is proposed to reduce the number of ground motions needed for the production of a reliable<br />median incremental dynamic analysis curve. Theses curves computed by the exact and approximate<br />procedures for two different 4- and 8-storey buildings and one set of ground motions is presented.<br />The results demonstrate that the approximate procedure which uses a limited number of input ground<br />motions has the error less than about 5%.https://ceej.aut.ac.ir/article_504_bd13a52fcac78e05f34837b8df0076dd.pdf