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研究生: 蕭友德
Hsiao, You-De
論文名稱: 結合時間反轉法及小波訊號處理於平板振動量測檢驗之研究
Study on Time Reversal Method and Wavelet Signal Processing for Vibration Detection in Plate
指導教授: 楊澤民
Yang, Joe-Ming
涂季平
Too, Gee-Pinn
學位類別: 碩士
Master
系所名稱: 工學院 - 系統及船舶機電工程學系
Department of Systems and Naval Mechatronic Engineering
論文出版年: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 68
中文關鍵詞: 時間反轉法小波訊號處理交相關函數非破壞檢測
外文關鍵詞: Time-Reversal Method, Wavelet Signal Processing, Cross-Correlation Function, Non-Destructive Testing
相關次數: 點閱:141下載:1
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  • 近年來,時間反轉法已應用於平板破損偵測之研究,時反法是利用聲波時反回傳訊號的不變性,進而檢驗結構有無破損之情況。本文是以鋁合金平板為被偵測之對象,利用時間反轉法之概念並結合小波訊號處理的方式來對無裂縫之平板進行五個不同的實驗。實驗上先以激震器來激震實驗平板,接著再以加速規量測無裂縫平板之振動訊號,然後利用時間反轉法的概念以及小波訊號處理之技術來導入實驗之中,最後再由上述步驟所得之時域訊號與各量測點在激震點處之訊號圖做交相關函數分析,可得各量測點之最大交相關函數值並比較其結果,可得知時間反轉法可以恢復原始位置之振動訊號,也透過小波轉換處理過程提供較佳訊號補償的方式等,藉此來達到本文非破壞檢測之成效。

    Recently, time-reversal method has been used in damage detection in plate. This method uses the recovering feature of time reversal signal to examine whether the structure is damaged or not. In the present investigation, an aluminum alloy plate is used as the detected object. Five different experiments on a plate are conducted by using time reversal method and wavelet signal processing. At first the experiment begins with the shaker to shake the plate at a specified location. Secondly, vibration signal of the plate has been measured. Then, the signal was processed by using the time reversal method and the wavelet signal processing. Finally, cross-correlation functions is used to analyze similarity between the return signal and the original signal. It is concluded that time reversal method can be used to recover the vibration signal at original location. It also indicates that by adding wavelet transform processing provides better signal recovery for the process. The ultimate goal of this study is to achieve the effects of the non damage detection.

    摘要 I Abstract II 致謝 III 目錄 IV 表目錄 VII 圖目錄 VIII 符號說明 XII 第一章 緒論 1 1-1 前言 1 1-2 文獻回顧 2 1-3 本文架構 4 第二章 基礎理論與訊號分析 5 2-1 前言 5 2-2 時間反轉法理論(Time Reversal Method Theory) 5 2-3 平板之振動分析理論 7 2-4 應用於平板之彎曲波(flexural waves) 8 2-5 實驗模態分析 12 2-5.1 頻率響應函數 12 2-5.2 自然頻率分析 13 2-6 時域訊號 14 2-7 小波分析 14 2-7.1 小波函數 15 2-7.2 連續小波轉換(Continuous Wavelet Transform,CWT) 17 2-7.3 離散小波轉換(Discrete Wavelet Transform,DWT) 19 2-7.4 小波家族 20 2-7.5 Morlet(morl)小波 22 2-8 交相關函數理論 24 第三章 實驗架構與訊號量測 25 3-1 前言 25 3-2 實驗架構 25 3-3 實驗流程 26 3-4 實驗儀器配置 28 3-5 訊號之取樣頻率 30 3-6 訊號量測 32 第四章 實驗結果分析 35 4-1 前言 35 4-2 ANSYS模態值數值模擬 35 4-3 實驗1:各量測點之結果與分析 38 4-4 實驗2:加入小波函數之結果與分析 45 4-5實驗3:固定頻率下不同位置處之量測 50 4-6實驗4:不同頻率下任意位置處之量測 54 4-7實驗5:多重頻道效應之影響 59 第五章 結論與建議 63 5-1 結論 63 5-2 建議 64 參考文獻 66

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