研究生: |
袁傳智 Chuan-chih Yuan |
---|---|
論文名稱: |
非線性纜索動態放大效應之研究 Study on Nonlinear Dynamic Magnification Effects of Cables |
指導教授: |
陳瑞華
Rwey-Hua Cherng |
口試委員: |
鄭蘩
Fan Jeng 黃慶東 Ching-tung Huang |
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: | 2008 |
畢業學年度: | 96 |
語文別: | 中文 |
論文頁數: | 410 |
中文關鍵詞: | 非線性 、纜索 |
外文關鍵詞: | nonlinear, cable |
相關次數: | 點閱:293 下載:7 |
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斜張橋的跨距較一般橋樑的跨距大,橋墩數量較一般橋樑少,在動態外力作用下有較大之反應振幅及非線性行為之展現。本文首先探討不同性質斜張纜索僅受自重時之自然頻率與振態,並與線性理論結果作比較。再分別分析斜張纜索受到簡諧均布外力與支承擾動的作用下的動態反應。考慮不同性質纜索在均布外力作用下,嘗試改變外力振幅與外力頻率,在不同非線性程度下,觀察動態放大因子隨外力頻率之變化;同時探討纜索阻尼比與纜索加裝阻尼器對動態放大因子之影響。考慮不同性質纜索在支承擾動作用下,於端點分別施加水平正弦擾動與改變擾動頻率,在不同非線性程度下,觀察傳遞度隨擾動頻率之變化,並針對一般共振與參數共振情況加以討論。分析後可知線性理論在求解自然頻率時,未考慮纜索傾斜角度改變時對纜索非線性程度是否造成影響。斜張纜索受到不同外力作用時,造成不同非線性程度進而影響纜索的自然頻率,使一般共振發生於頻率比稍偏離1時。斜張纜索支承受水平擾動時,當頻率比稍大於2時會發生參數共振;而參數共振造成之位移,會遠大於一般共振造成之位移;發生參數共振時,位移頻譜圖中,只在纜索自然頻率處有頻譜值。
Long-span cable-stayed bridges are the highly flexible structures. Cables usually exhibit geometrically nonlinear behavior under large deformation. This study adopts elastic catenary inclined cable elements in the finite element formulation of an inclined cable to simulate its initial mode shapes, nonlinear static behavior and nonlinear dynamic behavior. This study analyses two kinds of cable resonance. This study observes relation between dynamic magnification factor and frequency ratio and relation between transmissibility and frequency ratio.
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