F.E.Udwadia系統識別公式之探討

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陳晏閣(Yen-Ko Chen) 查詢紙本館藏

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土木工程學系

論文名稱

F.E.Udwadia系統識別公式之探討
(Investigate the identification formulae which are proposed by F.E.Udwadia.)

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摘要(中)

系統識別在近年來愈來愈受到重視，有許多的專家學者提出各種不同的識別公式，本文即是針對F.E.Udwadia於1978年提出的識別公式加以探討。在本文中有探討拉普拉斯轉換在數值計算上解析解與數值解之間的誤差，並運用傅立葉SINE級數解決拉普拉斯轉換在参數趨近無窮大的數值計算問題，最後在本文中提出了一個新的識別公式。

摘要(英)

In recent years, system identification has been attracted more and more attention. Scholars proposed many kinds of identification formulae. The goal of this study is to investigate the formulae which are proposed by F.E.Udwadia in 1978. In this study confer the errors between exact solution and numerical solution in numerical computation of Laplace transformation and by use of Fourier sine series to solve the numerical problems while parameter of Laplace transformation approach infinity. Finally, in this paper, it is proposed a new identification formula.

關鍵字(中)

★ 傅立葉SINE級數
★ 拉普拉斯轉換
★ 系統識別

關鍵字(英)

★ system identification
★ Laplace transformation
★ Fourier sine series

論文目次

目錄
_________________________________________________________________ 頁次
第一章概論 1
1-1研究之動機與目的 1
1-2文獻回顧 1
1-3論文內容 2
第二章 F.E.Udwadia之系統識別公式介紹 3
2-1系統模型之介紹 3
2-2識別方法一 4
2-3識別方法二 5
第三章拉普拉斯轉換之探討 8
3-1拉普拉斯轉換之公式 8
3-2拉普拉斯轉換於數值計算時之誤差 8
3-3數值計算於拉普拉斯轉換結論 18
第四章傅立葉SINE級數 19
4-1傅立葉SINE級數之觀念 19
4-2利用傅立葉SINE級數來計算拉普拉斯轉換 20
4-3利用傅立葉SINE級數來計算拉普拉斯轉換結論 23
第五章公式修正 24
5-1修正方法一 24
5-2修正方法二 26
第六章數值驗證 29
6-1所使用的地震資料及樓房資料 29
6-2使用Udwadia之公式識別阻尼與勁度 33
6-3使用修正後的公式識別阻尼與勁度 58
6-4探討時間間距對識別阻尼之影響 75
6-5探討時間間距對識別勁度之影響 87
6-6探討時間間距對新推導出的迭代公式之影響 99
第七章結論與建議 101
7-1結論 101
7-2建議 102
參考文獻 103
附錄 106

參考文獻

參考文獻
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指導教授

李顯智(Hin-Chi Lei)

審核日期

2004-6-17

推文