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研究生:郭浩銘
研究生(外文):Hau-Ming Kuo
論文名稱:樓房系統識別公式研究
指導教授:李顯智李顯智引用關係
指導教授(外文):Hin-Chi Lei
學位類別:碩士
校院名稱:國立中央大學
系所名稱:土木工程研究所
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2005
畢業學年度:93
語文別:中文
論文頁數:74
中文關鍵詞:傅利業正弦級數拉普拉斯轉換系統識別
外文關鍵詞:Fourier Sine seriesLaplace transformSystem identification
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摘要
台灣地區處於環太平洋地震帶上,地狹人稠,大小地震發生頻
傳,因此近幾年來系統識別越來越受到重視,為了解結構物的動力特
性,有許多專家學者提出各種不同的識別方法,本研究即是以
F.E.Udwadia 於1978 年所提出的識別公式加以做更深入的研究,其
中探討拉普拉斯轉換在解析解與數值解之間的誤差,並導入傅利葉正
弦級數來解決拉普拉斯轉換在參數s 趨近於無窮大時在數值計算上
因電腦有效位數不足所產生的問題,進而提出ㄧ個新的識別公式以利識別。
關鍵字:系統識別、拉普拉斯轉換、傅利葉正弦級數
ABSTRACT
Taiwan is located at the Circum- Pacific seismic zone. The density of
population in this small island is high. Various scales of earthquake occur
here frequently. Therefore, system identification has got more and more
attention during recent years. In order to find out the dynamic property of
structure, there are many professionals and scholars have brought up
varied methodology to identify.
This research based on the identified equation address by
F.E.Udwadia in 1978 and made more deep research. In this research, we
discuss the error of Laplace transform between exact solution and
numerical solution, and induct Fourier sine series to resolve the
arithmetic 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................................................... 1
1-1 研究動機與目的........................................... 1
1-2 文獻回顧................................................. 2
1-3 本文內容................................................. 5
第二章拉普拉斯轉換之探討..................................... 6
2-1 簡述拉普拉斯轉換......................................... 6
2-2 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..................................20
3-1 介紹傅立葉SINE 級數......................................20
3-2 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.......................... 22
4-1 系統模型介紹............................................ 22
4-2 識別方法................................................ 23
第五章修正方法之推導........................................ 26
5-1 c3、k3 之推導............................................26
5-2 c1、c2之推導.............................................27
第六章數值驗證.............................................. 30
6-1 識別阻尼所使用之地震資料與樓房參數...................... 30
6-2 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
參考文獻
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