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  • 學位論文

增量變勁度法用於斜張橋結構塑性分析

Plastic Analysis of Cable-Stayed Bridges by using Increment-Varied Stiffness Method

指導教授 : 王寶璽

摘要


本文應用有限元素法建立以增量變勁度法進行二維斜張橋結構塑性分析模式,重點在置於斜張橋結構極限承載力分析。藉電子計算機模擬分析,探討斜張橋整體結構塑性行為及其極限承載力。本文先以增量變勁度法進行桁架及剛架塑性分析,並以文獻及手算方式驗證所建立之分析理論與電算程式之正確性,之後再進行斜張橋結構塑性分析,探討塑性行為對斜張橋結構行為之影響。增量變勁度法塑性分析時,把原非線性問題轉化為階段線性問題(piecewise linearized problem)處理,也就是以多階段線彈性區間方式進行塑性分析。文中非線性效應考慮了樑柱效應及纜索中垂效應之影響。

並列摘要


The aim of this thesis concerns with the plastic analysis of cable-stayed bridges by using Increment-Varied Stiffness Method. A finite element computation procedure using Increment-Varied Stiffness Method is set up for the nonlinear plastic analysis of such kind of structures to evaluate the ultimate load-carrying capacity. Several simple rigid frames, truss and three different types of cable-stayed bridges are selected in this thesis. In the Increment-Varied Stiffness method the nonlinear plastic problem is treated as a piecewise linearized problem. The nonlinearities due to beam-column and cable sag effects are considered in the analysis of cable s tayed bridges. The plastic behaviors of cable-stayed bridges are examined detailedly, such as the deflection of girders and towers, and the member forces induced by plastic deformation.

參考文獻


41. 唐子揚,“施工階段斜張橋結構非線性分析” ,中原大學土木工程學系碩士論文,台灣省,中壢市,民國91年6月
42. 劉仲桓,“超大跨距斜張橋結構地震分析” ,中原大學土木工程學系碩士論文,台灣省,中壢市,民國94年6月
1. Billington, D. and Nazmy, A. “History and Aesthetics of Cable-Stayed Bridges”, J. of Str. Engg., ASCE, Vol. 117, No. 10, pp.3101-3134, 1990
2. Chebl, C. and Neale, K. W., “A Finite Element Method for Elastic Beam and Columns at Large Deflections”, Computers & Structures Vol. 18, No. 2. pp. 255-261, 1984
5. Philip, G.. and Hodge, Jr., “Simple Examples of Non-Linear Truss Behavior”, Int. J. Structures Vol. 20,NO. 11/12, pp. 1001-1008, 1984

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