TY - JOUR ID - 72444 TI - Approximate Incremental Dynamic Analysis Using Reduction of Ground Motion Records JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Baharmast, Hessam AU - Razmyan, Sanaz AU - Yazdani, Azad - AD - Engineering, University of Kurdistan AD - Mathematics, Islamic Azad University, Firozkoh Branch Y1 - 2015 PY - 2015 VL - 28 IS - 2 SP - 190 EP - 197 KW - Incremental Dynamic Analysis KW - Data Envelopment Analysis KW - Ranking KW - Ground motion DO - N2 - Incremental dynamic analysis (IDA) requires the analysis of the non-linear response history of a structure for an ensemble of ground motions, each scaled to multiple levels of intensity and selected to cover the entire range of structural response. 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 (DEA), 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 IDA curve.  The IDA curves computed by the exact and approximate procedures for two different sets of ground motions for the 9-storey SAC-Los Angeles building, are presented. The results demonstrate that the approximate procedure, which uses a limited number of input ground motions, is accurate enough for practical application in building evaluation and design. UR - https://www.ije.ir/article_72444.html L1 - https://www.ije.ir/article_72444_d1aaa1bdfce2b5df31f96b7a1d307947.pdf ER -