# 臺灣博碩士論文加值系統

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 ABSTRACTTaiwan is located at the Circum- Pacific seismic zone. The density ofpopulation in this small island is high. Various scales of earthquake occurhere frequently. Therefore, system identification has got more and moreattention during recent years. In order to find out the dynamic property ofstructure, there are many professionals and scholars have brought upvaried methodology to identify.This research based on the identified equation address byF.E.Udwadia in 1978 and made more deep research. In this research, wediscuss the error of Laplace transform between exact solution andnumerical solution, and induct Fourier sine series to resolve thearithmetic problem, which due to the defect of effective digit in computer,in the case of parameter ‘s’of Laplace transform approaches to infinity.Further, we derived a new identified equation to identify the dynamic property of structure.Keywords：system identification、Laplace transform、Fourier sine series
 目錄__________________________________________________________ 頁次摘要......................................................... Ⅰ英文摘要..................................................... Ⅱ致謝......................................................... Ⅲ目錄......................................................... Ⅳ表目錄....................................................... Ⅴ圖目錄....................................................... Ⅵ第一章概論................................................... 11-1 研究動機與目的........................................... 11-2 文獻回顧................................................. 21-3 本文內容................................................. 5第二章拉普拉斯轉換之探討..................................... 62-1 簡述拉普拉斯轉換......................................... 62-2 探討拉普拉斯轉換於數值計算上之誤差....................... 7第三章傅立葉SINE 級數之探討..................................203-1 介紹傅立葉SINE 級數......................................203-2 將傅立葉SINE 級數導入拉普拉斯轉換之方法介紹..............20第四章F.E.Udwadia 系統識別式之介紹.......................... 224-1 系統模型介紹............................................ 224-2 識別方法................................................ 23第五章修正方法之推導........................................ 265-1 c3、k3 之推導............................................265-2 c1、c2之推導.............................................27第六章數值驗證.............................................. 306-1 識別阻尼所使用之地震資料與樓房參數...................... 306-2 以修正方法進行阻尼識別.................................. 33第七章識別結果探討與結論.................................... 58參考文獻.................................................... 62附錄........................................................ 64
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