梁損傷系統之識別參數與損傷檢測之應用

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劉正偉(Zheng-Wei Liu) 查詢紙本館藏

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土木工程學系

論文名稱

梁損傷系統之識別參數與損傷檢測之應用
(Damage Assessment of Beam by an Impact-Echo Testing Method and Calculation of Damage Indices)

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摘要(中)

台灣公共工程建設至今，已逐漸邁入需要的飽和並將注意的重點轉往為基本設施的維修與保養上。如何的節省人力、物力來達到快速檢測目的為目前工程界所關切之課題。
本論文首先介紹利用Graffi線彈性動力互易定理量測之觀念，配合敲擊激振與收得之結構頻率反應訊號(FRF)，對結構特徵做出識別；而後將識別出的模態參數(頻率、振形等)帶入現行已知的數個損傷指標計算，並於梁結構形式的損傷識別實驗中發現：模態曲率振形變化法指標(MMC)對於單一或是雙裂縫的損傷有不錯的識別能力。而模態座標確認準則指標(CoMAC)則可在邊界及感測計安裝之外的位置提供參考。模態尺度因子(MSF)對於結構損傷嚴重時可提供程度上的依據。
本論文所建構之梁式結構之損傷檢測分析流程，可作為後續建立橋樑損傷快速檢定之參考。

摘要(英)

In this paper, an impact-echo testing method was developed to assist engineers to assess the damage location of bridge girder through some simple measurements on the surface of bridge deck. The reciprocal theorem of elastodynamics was applied to get the transfer functions at various impact sites along the beam axis from the least number of vibration sensors distributed on the surface of beam. Mode shapes of the detected beam can then be constructed for the analysis of damage assessment. Some conventionally used damage indices, like MAC (modal assurance criterion), CoMAC (coordinate modal assurance criterion), MMC (method of modal curvature),were applied to evaluate their performance on damage assessment by real measure data. Aluminum and reinforced concrete beams of various damage conditions were tested in the laboratory. It is found that the MMC may provide better identification on damagelocation than other damage indices. Details of the data measurement, and analysis of the testing method were addressed in this paper.

關鍵字(中)

★ 梁結構
★ 損傷檢測
★ 互易定理
★ 傳遞函數
★ 損傷指標
★ 模態振形
★ FRF
★ 系統識別

關鍵字(英)

★ reciprocal theory
★ transfer function
★ damage index
★ modal shape analysis
★ system identification
★ damage detection
★ beam structure

論文目次

目錄
中文摘要…………………………………………………………..……Ⅰ
英文摘要……………………………………………………………..…Ⅱ
誌謝……………………………………………………………………..Ⅲ
目錄……………………………………………………………………..Ⅴ
表目錄……………………………………………….………………….Ⅶ
圖目錄…………………………………………………………………..Ⅷ
第一章序論……………………………………………………………1
1.1 結構之損傷診斷…………………………………………………….……1
1.2 研究動機及目的…………………………………………………………4
1.3 論文內容…………………………………………………………………6
第二章文獻回顧………………………………………………………7
第三章理論分析與推導……………………………………………..17
3.1 線彈性互易定理…………………………………..……………………17
3.2 頻率響應函數…………………………………..………………………23
3.3 結構損傷指標………………………………..…………………………29
第四章檢測方法與步驟………………………..……………………33
4.1 檢測方法………………………………………………………...………33
4.2 實驗試體…………………………………………….……………..……33
4.3 實驗設備…………………………………………..…………….………37
4.4 訊號分析………………………………………………………...………41
4.5 模態分析與指標計算…………………………………...………………45
第五實實驗結果與討論………………………..……………………47
5.1 前言………………………………………………………..……………47
5.2 鋁梁模態辨識與指標計算結果……………………………..…………48
5.2.1 鋁梁各階段實驗之模態量測結果……………………………48
5.2.2 指標計算於鋁梁………………………………………………48
5.2.2.1 鋁梁模態振型曲率變化指標……………..………49
5.2.2.2 鋁梁模態尺度因子指標…………………..………50
5.2.2.3 鋁梁座標模態確認準則指標………..……………51
5.2.2.4 鋁梁模態振型差指標…………………..…………52
5.3 RC梁模態辨識與指標計算結果…………………………………….…53
5.3.1 RC梁各階段實驗之模態量測結果……………………...……53
5.3.2 指標計算於RC梁…………………………………………..…53
5.3.2.1 RC梁模態振型曲率變化指標………….…………53
5.3.2.2 RC梁座標模態確認準則指標……….……………54
5.3.2.3 RC梁模態振型差指標………………….…………54
第六實總結與建議……………………………..……………………55
參考文獻………………………………..……………………57
附錄…………………………………………………………149

參考文獻

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指導教授

王仲宇(Wang Chung-Yue)

審核日期

2004-12-29

推文