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纜索為幾何非線性行為顯著之結構，一般以桁架元素模擬纜索時，以等效彈性模數來模擬纜索之中垂效應，但此法僅能粗估纜索兩端拉力與中垂量的變化，無法針對纜索起始振態與纜索內部各質點之運動行為作分析。因此本文採用三維懸鏈線形纜索元素勁度矩陣，並利用有限元素法的概念，模擬纜索的起始振態、非線性靜力與非線性動力行為。本文並對文獻中所提及之纜索三種共振反應（一般共振、參數共振與自參數共振）作分析，利用纜索受諧和外力與邊界擾動之作用，分析纜索各共振產生的時機與現象。未來延續此分析之模式，可分析斜張橋纜索之非線性動力行為。

Cables usually exhibit geometrically nonlinear behavior under large deformation. A cable with sag is modeled by an truss with an equivalent modulus of elasticity in simplified analyses; but the cable deformation can not be determined. This study adopts Three-Dimensional elastic catenary cable elements in the finite element formulation of an cable to simulate its initial mode shape, nonlinear static behavior and nonlinear dynamic behavior. This paper also analyses three kinds of cable resonance. In the future, cable-stayed bridges will be analysed by the proposed approach.

第一章 緒論
第二章 纜索勁度矩陣與弦理論介紹
2.1纜索勁度矩陣介紹
2.1.1等效勁度法
2.1.2非線性桁架模擬法
2.1.3二維懸鏈線形纜索元素勁度矩陣
2.1.4三維懸鏈線形纜索元素勁度矩陣
2.2弦理論介紹
第三章 三維纜索之共振理論
3.1一般共振
3.2參數共振
3.3自參數共振
第四章 三維纜索分析方法與流程
4.1三維纜索初形與纜索起始切線勁度矩陣
4.2起始振態分析方法與流程
4.3非線性靜力分析方法與流程
4.4非線性動力分析方法與流程
4.4.1三維纜索受外力作用之非線性動力分析
4.4.2三維纜索受支承擾動作用之非線性動力分析
第五章 三維纜索起始振態及非線性靜力分析
5.1起始振態分析
5.2非線性靜力分析
5.2.1纜索中點受垂直作用力的非線性靜力反應
5.2.2纜索支承移動的靜力反應
第六章 三維纜索非線性動力分析
6.1三維纜索中點受垂直作用力時的非線性動力反應
6.2三維纜索受支承擾動時的非線性動力反應
第七章 結論與建議
7.1結論
7.2建議

[1]Ernst, H.J., “Der E-Modul von Seilen unter Berucksiechtigung des Dimensional”, Der Bauingenieur, (1965).

[2]Irvine H.M., “Cable structures”, The MIT Press, Cambridge , (1981)

[3]Ivovich, V.A., “Analysis of two-to one autoparametric vibration in cable structures＂, 5th International Symposium on Cable Dynamics, Italy, (2003).

[4]Karoumi, R., “Modeling of Cable-stayed Bridges for Analysis of Traffic Induced Vibrations”, Department of Structural Engineering Royal Institute of Technology, (2000).

[5]Kazakevitch, M. and Zakora, A., “Cable stabilization for wind and
moving load effect”, Journal of Wind Engineering and Industrial Aerodynamics, Vol.74-76, Apr-Aug, pp.995-1003, (1998).

[6]Kim, H.K., Lee, M.J. and Chang, S.P., “Non-linear shape finding analysis of a self-anchored suspension bridge ”, Engineering Structures, Vol.24, pp.1547-1559, (2002).

[7]Kim, H.K., Shinozuka, M. and Chang, S.P, “Geometrically nonlinear buffeting response of a cable-stayed bridge”, Journal of engineering mechanics, ASCE, Vol.130, pp.848-857, (2004).

[8]Kim, K.S. and Lee, H.S., “Analysis of target configurations under dead loads for cable-supported bridges”, Computers and Structures, Vol.79, No.29-30, pp.2681-2692, (2001).

[9]Nazmy, A.S. and Abdel-Ghaffar A.M., “Three-dimensional nonlinear static analysis of cable-stayed bridges”, Computers and structures, Vol.34, pp.257-271, (1990).

[10]吳建成, “斜張橋之三維幾何非線性動力分析”,國立台灣科技大學,營建工程學系研究所,碩士論文(2005).