臺灣博碩士論文加值系統

本文針對非剪力平面建築結構，探討不同破壞模式下，利用等值剪力結構模型，求得各樓層層間損壞指標SDI (story damage index)，以協助判定損壞位置。本文首先推導非剪力結構(考慮節點轉角)之運動方程式，再以狀態空間法進行不同破壞模式下結構受震的動態反應，配合SRIM (System Realization Using Information Matrix)系統識別技巧，識別系統模態參數，並以模態參數求得等值剪力結構模型之勁度矩陣，利用破壞前與破壞後各樓層SDI值，判別結構之損壞位置。在有限量測下，並探討最佳振態還原於非剪力結構判別層間損壞指標之可行性。研究內容包含單層樓破壞及多層樓破壞的判別，以探討利用等值剪力模型判斷非剪力結構損壞位置之適切性。最後以國家地震中心之三層樓及八層樓鋼結構構架之實驗資料進行損壞位置評估，以探討本法於實際應用時之可行性。在本研究中，判別單層樓破壞時較準確，而在多層樓破壞時出現判別誤差之狀況較大。

This study investigated a damage localization technique by using a story damage index (SDI) based on equivalent shear building model. Firstly, the equation of motion was directed for a five story non-shear building (with consideration of joint rotation). The dynamic response of the structure under an earthquake with different damage case was simulated by state space method. The System Realization Using Information Matrix(SRIM) technique is used to identify the modal parameters. The SDI value of each story can be computed by the 1^st modal parameters. The distribution of the SDI values can help us to detect the damage of a non-shear building. The problems of incomplete measurements are also investigated.
This research includes the damage of single and multi-story. Finally, a three and eight-story benchmark building in NCREE was considered to examine the accuracy and applicability of the proposed damage localization technique via experimental data.
The results show that the proposed method works well in the cases of single story damage. However, discrepancies are found in the cases of multiple-story damage.

第一章 緒論 1
1.1 研究動機與目的 1
1.2 文獻回顧 2
1.2.1 系統識別理論 2
1.2.2 損壞指標 3
1.3 本文內容 5
第二章 非剪力平面建築結構動態反應及參數識別 7
2.1 非剪力平面結構質量及勁度矩陣 7
2.2 勁度矩陣靜態濃縮 9
2.3 非剪力結構動態反應 11
2.4 SRIM結構動態參數識別 14
2.4.1 MIMO系統線性式 14
2.4.2 狀態空間參數之萃取 16
2.4.3 萃取系統模態參數 21
第三章 非剪力建築結構層間損壞指標 24
3.1 層間勁度 24
3.1.1 平面建築結構之層間損壞指標 26
3.2 非剪力建築結構層間損壞指標之趨勢 27
3.2.1層間損壞指標之趨勢分析及流程 28
3.3 噪訊對柔性結構之層間損壞指標的影響 30
第四章 非剪力結構之最佳振態還原 31
4.1 最佳振態還原 31
4.1.1 最佳振態評估方法 31
4.1.2 最佳化指標 32
4.2 最佳振態還原於非剪力結構之損壞評估 34
第五章 標竿結構損壞評估 35
5.1 標竿結構基本實驗構架 35
5.2 破壞模式定義 36
5.3 依實測試驗紀錄之損壞位址偵測 37
第六章 結論與建議 39
參考文獻 41

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