多項式摩擦單擺支承之二維動力分析與最佳參數研究

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姓名

李昱樵(Yu-Chiao Li) 查詢紙本館藏

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土木工程學系

論文名稱

多項式摩擦單擺支承之二維動力分析與最佳參數研究

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摘要(中)

經振動台試驗結果證實正確設計之多項式摩擦單擺支承 (Polynomial Friction Pendulum Isolator，PFPI)，不論於遠域或近域地震皆可有效降低結構系統之位移。然而，將振動台試驗所得之垂直加速度加入一維動力分析後，發現支承垂直震盪間接影響水平力的變化與支承狀態改變的時間，使PFPI支承遲滯迴圈邊緣有不平滑的現象，可見垂直震盪會影響PFPI隔震支承的反應。
本研究將介紹PFPI之二維動力分析程式的內容，數值模擬的動態歷時反應採用Newmark-β法分析，並利用振動台試驗結果驗證分析方法之正確性。最後藉由一受震之PFPI隔震橋梁探討垂直震盪對PFPI隔震性能與考慮垂直向自由度對模擬PFPI隔震橋梁受震反應的重要性，並利用FPS與PFPI之二維動力分析程式，針對含FPS與含PFPI之隔震橋梁於雙向震波中分別進行最佳化設計，除比較兩者之隔震效益外，同時探討垂直震波對PFPI之影響、PFPI曲面之支承參數與PFPI曲盤形狀之修正方法。

摘要(英)

Experimental results have proven that properly designed Polynomial Friction Pendulum Isolator (PFPI) can effectively reduce the isolator drift not only in a far-fault earthquake but in a near-fault earthquake. However, the vertical vibration affects the history of horizontal force and the variation time of bearing state when the vertical acceleration has been considered in one dimensional motion equations program for PFPI, it cause the edge of the hysteresis loop of PFPI not smoothly. So the vertical vibration has effect upon the response of PFPI.
Consequently, two dimensional motion equations for PFPI isolated bridge were derived and presented in this paper. The responses of PFPI isolated bridge were solved by using Newmark-βmethod. The feasibility and correctness of solution procedures were verified by comparing the simulated responses with that measured from shaking table tests. A five-span PFPI isolated bridge subjects to ground excitations was then analyzed to demonstrate the effects of vertical vibration on the performance of PFPI and the importance of vertical free dimension. The optimal parameters study of PFPI and Friction Pendulum System (FPS) comparison the effectiveness between PFPI and FPS. Finally, the effects of considering vertical ground excitation, the function of PFPI sliding surface and the modification method for PFPI sliding surface were discussed in this study.

關鍵字(中)

★ 多項式摩擦單擺支承
★ 近域地震
★ 垂直震盪
★ PFPI二維動力分析程式
★ 垂直震波

關鍵字(英)

★ Polynomial Friction Pendulum Isolator
★ Near-fault earthquake
★ Vertical vibration
★ Two dimensional motion equations program for PFPI isolated bridge
★ Vertical ground motion

論文目次

目錄
中文摘要 I
英文摘要 II
誌謝 III
目錄 IV
表目錄 VII
圖目錄 XI
第一章緒論 1
1.1研究背景與動機 1
1.2文獻回顧 3
1.3研究內容 6
第二章多項式摩擦單擺支承 8
2.1支承力學行為 8
2.2多項式摩擦單擺支承之曲面函數及特性 11
第三章滑動支承之二維動力分析 18
3.1 Newmark-β直接積分法 18
3.2數值模型及運動方程式推導 20
3.2.1支承黏滯階段 23
3.2.1.1運動方程式 23
3.2.1.2下一步幅運動狀態之判別 25
3.2.2支承滑動階段 27
3.2.2.1運動方程式 27
3.2.2.2下一步幅運動狀態之判別 30
3.2.3上部結構騰空階段 32
3.2.3.1運動方程式 32
3.2.3.2下一步幅運動狀態之判別 34
3.3數值分析推導之驗證 35
3.3.1實驗試體模型及量測儀器配置 35
3.3.2實驗輸入震波 35
3.3.3實驗與數值模擬結果之比對與探討 36
3.4垂直震盪與二維動力分析的探討 38
3.4.1目標橋梁 39
3.4.2支承參數與分析震波 39
3.4.3分析結果與探討 40
3.5小結 42
第四章 PFPI最佳參數搜尋及分析結果探討 101
4.1 PSO-SA混合式搜尋法 102
4.1.1最佳化問題數學模式之建立 102
4.1.2粒子群演算法 103
4.1.3模擬退火法 106
4.1.4 PSO-SA混合式搜尋法 107
4.2支承最佳化設計 108
4.2.1目標橋梁及分析震波 108
4.2.2支承最佳參數搜尋之數學模式 109
4.2.3支承參數範圍 110
4.2.4最佳參數搜尋結果與探討 111
4.2.4.1雙向震波對PFPI隔震橋梁之影響 111
4.2.4.2 PFPI曲面函數之設計參數探討 118
4.2.4.3 FPS和PFPI之分析結果比較與PFPI曲盤形狀之探討
122
4.3小結 128
第五章結論與建議 239
5.1結論 239
5.2建議及未來研究方向 242
參考文獻 243

參考文獻

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指導教授

莊德興(Der-Shin Juang)

審核日期

2015-1-20

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