臺灣博碩士論文加值系統

本文利用應變能法(Strain Energy Method, SEM)為破壞檢測指標，並結合拉格蘭治法(Lagrange-Interpolation Method, LIM)與微分值積法(Differential Quadrature Method, DQM)，建立一維樑及螺栓結構之平板與二維平板結構的破壞預測方法。在進行有限元素分析與實驗平板模態分析後，可獲得結構破壞或非破壞時的模態振型，並將此模態振型資訊由所發展方法可預測破壞發生的位置。利用拉格蘭治法可擴充模態振型量測的點數，並由DQM求得振型的微分結果，可以更有效的進行一維及二維結構鑑定破壞的位置。結果顯示出此預測流程的方法可以有效的改進預測破壞檢測的指標，特別對量測點數不足之實驗數據，可明顯改善預測結果，因此利用LIM可以增加結構破壞檢測的正確性，未來此也方法可以應用在一般化二維平面結構的破壞預測。

This work adopts strain energy method as the damage detection index and combines the Lagrange-Interpolation method (LIM) as well as differential quadrature method (DQM) to develop the damage detection algorithm for1-D beam, Bolt-Jointed structures and 2-D plate structures. By performing either finite element analysis (FEA) theoretical or experimental modal analysis (EMA) on the structure, one can obtain the damaged and non-damaged structural mode shapes, that are the input to the prediction program, and, therefore, the damage location can be detected. This work uses FEA and EMA to construct both the damaged and non-damaged models and determine their mode shapes. The LIM is introduced to expand the measurement points and the DQM is applied to determine the derivatives of mode shapes, and so forth the damage index over the structure can also be expanded and beneficial to identify the damage location and evaluation of 1-D and 2-D structures. Results show that the effectiveness of damage detection can be improved, especially for those experimental data limited. The employment of LIM can increase the accuracy of damage detection. The methodology can be applied to general 2-D structures.

摘 要 I
Abstract II
誌 謝 III
目 錄 IV
表 目 錄 VII
圖 目 錄 IX

第1章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 全文概述 5
第2章 破壞預測方法 6
2.1 一維樑結構的破壞預測方法 6
2.1.1 一維拉格蘭治法 6
2.1.2 一維微分值積法 11
2.1.3 一維樑之應變能法 11
2.2二維平板結構的破壞預測方法 14
2.2.1 二維拉格蘭治法 14
2.2.2 二維微分值積法 15
2.2.3 二維平板結構的應變能法 16
2.3不等距取樣點 18
第3章 一維結構之破壞指標探討 19
3.1一維樑結構之理論預測結果探討 19
3.1.1 懸臂樑破壞預測分析之有限元素模型 19
3.1.2 破壞預測分析結果 21
3.2 二平板螺栓結構鎖緊度分析之鎖緊度預測 25
3.2.1 二平板螺栓結構有限元素模型 25
3.2.2 二平板鎖緊度預測結果 28
3.3 三平板螺栓結構鎖緊度分析之鎖緊度預測 31
3.3.1 三平板螺栓結構有限元素模型 31
3.3.2 三平板螺栓結構鎖緊度理論預測結果 34
3.3.3 螺栓鎖緊度實驗振型之預測結果 34
3.4 結論 38
第4章 二維結構之破壞指標探討 40
4.1 以曹[4]分析的結果與驗證 40
4.1.1理論對預測程式的適應性探討 40
4.1.2實驗對預測程式的適應性探討 45
4.2 平板破壞分析之有限元素模型 47
4.3 平板實驗模態分析 62
4.3.1 實驗儀器與架構 62
4.3.2 實驗方法和步驟 62
4.3.3 自由邊界之平板的模型驗證 65
4.3.4 實驗探討預測方法之結果 65
4.4 結論 72
第5章 結論與建議 73
5.1 結論 73
5.2 建議 73
參考文獻 74
附錄A 無破壞平板之驗證 77
附錄B 具一破壞平板之驗證 83
作者簡介 89

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