鋼筋混凝土結構物之損傷指標研究

Research of Damage Index of Reinforced Concrete Structure

陳志宏(Zhi-Hong Chen)

指導教授 ： 田堯彰

國立臺灣大學/工學院/土木工程學研究所/碩士(2010年)

https://doi.org/10.6342/NTU.2010.00490

摘要

本文旨在探討歷年來諸位學者所定義之建築物在地震下之損傷指標，所謂的損傷指標，係指結構物在受地震作用下所產生的一連串結構反應參數，再將其建立一套計算流程將損壞程度量值化。我們可藉由損壞指標，初步的認識結構物之損傷程度以判斷此結構物是否再適合居住或使用。
我們利用結構物在遭受一大地震下系統進入非線性，使得結構物之自然頻率開始改變而判斷其損傷指標。本文在此使用最小平方法(Least-Squares Method)以線性來模擬非線性系統之行為而後求得其等值線性阻尼比及頻率，再以Newmark-β Methd驗證其準確性，而後以最大軟化指數(Maximum softening)來判斷其結構物之損傷程度，並以頻率跟勁度的關係改善其損壞指標以提升其敏感度。接著再使用一損壞指標(Park and Ang damage index)此指標係由結構物之位移以及反覆載重下之能量消散所組合而成的。此外亦考慮其結構材料參數，將最大軟化指標、勁度破壞指標以及Park and Ang破壞指標作一整理以及比較其優缺點。
最後，藉由國家地震中心之單層三跨構架倒榻試驗分析所取得之歷時以及構架材料參數作為實例識別之量測值，進行實例分析。經由識別以及計算各破壞指數之結果做一比較。

關鍵字

最小平方法 ； Newmark-β ； 最大軟化指數 ； 破壞指標 ； Park and Ang 破壞指標

並列摘要

This thesis is for the purpose of discussing the damage index of buildings under the earthquake over the years of definition by scholars, the so-called damage index,is refers to the structure to receive a succession of structure response parameter which under the earthquake function, and to establish a set of computation flow the damaged condition size. We may because of the damage index, to cognitive structure of extent of damage preliminary to judge this structure whether suits the housing or use again.
We use the structure to suffer a strong earthquake to make the system enter the non-linearity, cause the natural frequency of structure to start to change and judges its damage. This thesis simulates behavior of the nonlinear system in use Least-Squares Method to get the equivalent linear damping and frequency, and confirms its accuracy by Newmark-β Method, after judges the extent of damage of structure by the Maximum softening damage index, and improves it by the frequency with stiffness relations to damage index to promote its sensitivity. Then uses Park and Ang damage index this index is formed by the structure displacement and the energy dissipation under the carrying capacity, and considered its structural material parameter, the Maximum softening damage index, stiffness destruction index and Park and the Ang destruction index will do reorganizes and compares its good and bad points.
Finally, we can get the time history and material parameter of frames of one layer three cross frame collapse tests in National Center for Research on Earthquake Engineering to treat as measured value, carries on the example analysis. By way of identification as well as calculates result of each destruction index to make a comparison.

並列關鍵字

Least-Squares Method ； Newmark-β Method ； Maximum softening damage index ； damage index ； Park and Ang damage index

參考文獻

12. 賴志青，“隔震橋樑的非線性系統識別” ，國立台灣大學土木工程研究所碩士論文，2006年6月。

11. 曹恆碩，“遲滯系統:利用Bouc-Wen模式進行分析與識別”，國立台灣大學土木工程研究所碩士論文，2008年6月。

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