損傷定位向量於結構健康診斷之應用

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姓名

洪良杰(Liang-Chieh Haung) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

損傷定位向量於結構健康診斷之應用
(Application of Damage Locating Vector Method on Structure Health Diagnosis)

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至系統瀏覽論文 (2027-12-31以後開放)

摘要(中)

本研究使用 Bernal 所提出的損傷定位向量法(Damage Locating Vector Method)，以外力激振之方式配合頻率域分解法(Frequency Domain Decomposition, FDD)進行結構損傷之識別，欲發展出一套外力激發結構振動後，以量測結果為依據之結構損傷識別之技術。DLV 法主要概念為針對系統損傷前後之柔度差異矩陣為基礎的結構損傷偵測技術，識別出於特定荷載下，其應力為零之構件，並將其判斷為破壞狀態。由數值模擬的結果可知，若結構之柔度矩陣與理論解完全相符之情形下，DLV 法無論於一維、二維亦或是三維之模型中，皆可明確地診斷出結構物受損之位置，且由加權應力指標(Weighted Stress Index, WSI)作為構件是否具有損傷之判別，即使結構中受損部位僅具有 10%之損傷，其方法依舊能夠準確偵測，可見 DLV 法具有相當之敏感性。而本文中亦模擬不同外力情形下(敲擊力與地震力)，以各節點的加速度歷時資料進行 FDD 分析，找出結構自然頻率與其對應下之模態，用以代入 DLV 法中，以此進行結構損傷偵測之分析。

摘要(英)

In this study, the Damage Locating Vector Method proposed by Bernal is used to identify structure damage. Using external force excitation and Frequency Domain Decomposition (FDD) to develop a set of structure damage identification technology
based on the measurement results after the external force stimulating on the structure. The main concept of the DLV method is based on the flexibility matrix difference between systems before and after damage, identifying components with zero stress under a specific load, and judging them as a failure state. From the numerical simulation results, it can be seen that if the flexibility matrix of the structure is completely consistent with the theoretical solution, the DLV method can clearly diagnose the damage of the structure whether in one-dimensional, two-dimensional or threedimensional models. The damaged components can be judged by the Weighted Stress Index (WSI). Even if the damaged part in the structure has only 10% damage, the
method can still accurately detect it. So, it can be seen that DLV method has considerable sensitivity. In this paper, different external forces (impact force and earthquake force) are also simulated, and FDD analysis is carried out with the acceleration chronological data of each node to find out the natural frequencies of the structure and their corresponding mode shapes, which can be substituted into the DLV method and do the analysis of structural damage detection.

關鍵字(中)

★ 損傷識別
★ 結構破壞偵測
★ DLV 法
★ 系統識別
★ 柔度矩陣
★ 頻率域分解法
★ 敲擊測試法

關鍵字(英)

★ Damage Identification
★ Structural Damage Detection
★ Damage Locating Vector Method
★ System Identification
★ Flexibility Matrix
★ Frequency Domain Decomposition
★ Tapping test

論文目次

摘要 I
ABSTRACT II
誌謝 III
目錄 IV
圖目錄 VI
表目錄 X
第1章緒論 1
1.1 研究背景與動機 1
1.2 研究方法 2
1.3 研究內容 5
第2章文獻回顧 6
2.1 模態分析 6
2.2 結構健康診斷之發展 7
第3章 DLV損傷識別法 15
3.1 前言 15
3.2 DLV損傷探測分析理論 15
3.3 DLV法之特性證明 18
3.4 DLV法之應用 21
第4章結構系統參數識別 23
4.1 前言 23
4.2 頻率域分解法 (FREQUENCY DOMAIN DECOMPOSITION, FDD) 23
4.3 加速度數據經頻率域分解後提取頻率與模態 26
4.4 結構勁度矩陣與柔度矩陣之建立 28
第5章 DLV識別法之數值模擬分析 32
5.1 前言 32
5.2 一維球-棍剪力模型（BALL-AND-STICK MODEL） 32
5.2.1 以SAP2000模擬一維模型中單一部位損傷之情形 33
5.2.2 以SAP2000模擬一維模型中多部位損傷之情形 41
5.2.3以敲擊測試法進行系統識別並偵測單一損傷點 49
5.2.4 以敲擊測試法進行系統識別並偵測多部位損傷點 64
5.2.5 以結構之地震反應進行系統識別並偵測多部位損傷點 71
5.3 二維桁架模型 79
5.3.1 以SAP2000模擬桁架模型中單一損傷之偵測 79
5.3.2 以SAP2000模擬桁架模型中多重損傷之偵測 91
5.3.3 以敲擊測試法進行系統識別並進行單一損傷之偵測 98
5.3.4 以敲擊測試法進行系統識別並進行多重損傷之偵測 114
5.4 三維桁架模型 123
5.4.1 以SAP2000模擬三維桁架模型中具多損傷之偵測 124
5.4.2 以結構之地震反應進行系統識別並偵測多部位損傷點 126
第6章結論與建議 134
參考文獻 137

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指導教授

王仲宇(Chung-Yue Wang)

審核日期

2022-8-22

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