Estimation of Median Incremental Dynamic Analysis Curve Using Ranking of Strong Motion Records

Document Type : Research Article

Authors

1 Associate Professor, Department of Engineering, University of Kurdistan

2 M.Sc. Student, Department of Engineering, University of Kurdistan

3 Assistant Professor, Department of Mathematics, Firoozkuh Branch of Islamic Azad University

Abstract

Incremental dynamic analysis (IDA) is a parametric analysis method that is used in estimation of structural
performance by subjecting the structural model to multiple suitably scaled ground motion records, each
scaled to multiple levels of intensity, thus produce several curves of response parameterized by intensity
level. Recognizing that IDA of practical structures is computationally demanding, an approximate
procedure based on the reduction of the number of ground motions is developed. A methodology based
on data envelopment analysis, mathematical programming that can handle large numbers of variables
and relations is proposed to reduce the number of ground motions needed for the production of a reliable
median incremental dynamic analysis curve. Theses curves computed by the exact and approximate
procedures for two different 4- and 8-storey buildings and one set of ground motions is presented.
The results demonstrate that the approximate procedure which uses a limited number of input ground
motions has the error less than about 5%.

Keywords


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