Abstract




 
   

IJE TRANSACTIONS B: Applications Vol. 28, No. 2 (February 2015) 190-197   

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  APPROXIMATE INCREMENTAL DYNAMIC ANALYSIS USING REDUCTION OF GROUND MOTION RECORDS
 
A. Yazdani, S. Razmyan and H. Baharmast Hossainabadi
 
( Received: July 29, 2014 – Accepted: November 13, 2014 )
 
 

Abstract    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.

 

Keywords    Incremental dynamic analysis, Data envelopment analysis, Ranking, Ground motion

 

چکیده    به منظور تعیین منحنی حاصل از تحلیل دینامیکی افزایشی، لازم است سازه به ازای مجموعه ای از زمین لرزه های مختلف تحت اثر آنالیز دینامیکی غیرخطی قرار گیرد. همچنین برای اینکه رفتار سازه در محدوده های مختلف خطی و غیرخطی بررسی گردد، لازم است که زمین لرزه های مختلف با ضرایب مختلف به مقیاس در آورده شوند. در این مطالعه با استفاده از مدل تحلیل پوششی داده ها تعداد محدودی از زمین لرزه ها در مجموعه زمین لرزه ها طوری انتخاب می شود که متوسط منحنی حاصل از تحلیل دینامیکی افزایشی به ازای زمین لرزه های محدود برابر با متوسط منحنی حاصل از تحلیل دینامیکی افزایشی به ازای مجموعه کل زمین لرزه ها باشد. به عنوان نمونه سازه معروف فولادی نه طبقه و دو مجموعه مختلف زمین لرزه درنظر گرفته شد و با استفاده از روش ارائه شده در این مطالعه در هر مجموعه از زمین لرزه، چهار رکورد طوری انتخاب می گردد که تفاوت منحنی متوسط حاصل از مجموعه کل زمین لرزه ها و زمین لرزه های انتخابی در حد قابل قبولی باشد.

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