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研究生: 王駿彰
Chun-chang Wang
論文名稱: 阻尼偏心之周期效應
Period Effect of Damping Eccentricity
指導教授: 鄭蘩
Van Jeng
口試委員: 黃慶東
none
陳瑞華
none
學位類別: 碩士
Master
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 281
中文關鍵詞: 偏心扭轉周期阻尼偏心阻尼
外文關鍵詞: Period, Torsion, Damping eccentricity, Damping
相關次數: 點閱:225下載:0
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  • 以阻尼器的來作為結構之耐震補強之應用日漸普遍,然而在相關之研究中,甚少關於阻尼偏心問題之探討;因此本文以人工模擬地震數值解分析來探討阻尼偏心之扭轉反應及周期效應。
    首先就White Noise殘值理論解與模擬數值解作比較,探討殘值理論解之正確性;其次以殘值理論解與人工模擬地震解做一比較,探討理論解是否可作為人工模擬地震數值解之偏心扭轉研究;最後比較人工模擬地震數值解在不同週期之差異。
    研究成果如下:
    1.以White Noise加速度歷時作為輸入之模擬解,證明了殘值理論解的正確性。
    2.以人工模擬地震解與殘值理論解之比較,顯示殘值理論解與地震解近似,可作為一般設計之用。
    3.阻尼偏心結構有明顯之周期效應,在阻尼偏心下,長周期結構之最大角落位移Ucm值在大阻尼比及大偏心量下較其他周期結構更大,此與質量偏心結構在短週期之扭轉效應較大之情形正好相反。


    The usage of dampers to mitigate the seismic damage of structures is becoming popular in recent years, however, there are few studies about the damping eccentricity in related studies. Therefore, this study investigates the damping eccentricity and its period effects by numerical simulation with artificial seismic excitations.
    At first, the theoretical residue solution was comparing with White Noise simulation results to investigate the correctness of the theoretical solution. Then, the artificial seismic excitation simulations were used to verify that theoretical solution was similar and could be adopted in engineering design. Finally, the simulation was used to investigate the difference in torsional responses for structures with different periods.
    The results of research are as follow:
    1. The theoretical residue solution was verified to be correct by White Noise simulation.
    2. The results of theoretical solution and artificial simulation earthquake are similar that the theoretical solution could be adopted for design purpose.
    3. The period effects of structure with damping eccentricity is clearly observed. The maximum corner displacement (Ucm) for structures with longer period is larger than those with other periods, especially for cases with large damping eccentricities and damping ratios. This is the opposite to the period effects for structures with mass eccentricity.

    摘 要 I ABSTRACT II 誌 謝 III 目 錄 IV 圖表索引 VI 第一章 緒論 1 1.1 前言 1 1.2 研究動機與目的 2 1.3 研究方法 2 1.4 文獻回顧 3 1.4.1 偏心結構之彈性分析 3 1.4.2 偏心結構之非線性分析 3 1.5 研究內容 11 第二章 結構分析模式 12 2.1 前言 12 2.2 偏心結構系統 12 2.3 分析模式 12 2.3.1 結構系統 12 2.3.2 彈性動力方程式 15 2.4 分析用參數介紹 18 2.5 地震資料 21 2.6 文獻介紹 21 第三章 阻尼偏心之研究 24 3.1 前言 24 3.2 阻尼偏心之扭轉效應 24 3.3 阻尼偏心與勁度偏心之互制效應 29 3.4 偏心結構扭轉反應之理論研究 32 3.5 小結 37 第四章 阻尼偏心之周期效應 39 4.1 前言 39 4.2 殘値理論解與White Noise模擬解 39 4.2.1 低阻尼之扭轉反應 40 4.2.2 高阻尼之扭轉反應 44 4.3 殘値理論解與人工模擬地震解 48 4.3.1 低阻尼之扭轉反應 48 4.3.2 高阻尼之扭轉反應 53 4.4 不同週期下之人工模擬地震解 58 4.4.1 低阻尼之扭轉反應 59 4.4.2 高阻尼之扭轉反應 64 4.5 小結 70 第五章 質量偏心之周期效應 72 5.1 前言 72 5.2 殘値理論解與White Noise模擬解 72 5.2.1 低阻尼之扭轉反應 72 5.2.2 高阻尼之扭轉反應 78 5.3 殘値理論解與人工模擬地震解 84 5.3.1 低阻尼之扭轉反應 85 5.3.2 高阻尼之扭轉反應 90 5.4 不同週期下之人工模擬地震解 96 5.4.1 低阻尼之扭轉反應 96 5.4.2 高阻尼之扭轉反應 102 5.5 小結 107 第六章 結論與建議 109 6.1 前言 109 6.2 結果與討論 109 6.2.1阻尼偏心之週期效應 109 6.2.2質量偏心之週期效應 110 6.3 建議 110 參考文獻 112 附錄I 阻尼偏心及勁度偏心理論解之數學方程式推導 239 附錄II 質量偏心振態疊加法推導 250 作者簡介 256

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