本文應用有限元素法建立斜張橋結構穩定性分析模式,藉電子計算機數值模擬分析,了解並掌握斜張橋結構穩定特性。本文取三個不同形式之斜張橋結構,分別為對稱豎琴狀斜張橋、對稱輻射狀斜張橋與高屏溪單塔不對稱斜張橋為例,採用線性穩定分析方法,尋求全橋滿載和主跨滿載不同車流活載重情形下其臨界荷重值(critical loads)與對應之挫屈模態(buckling modes),並藉由數值分析之結果,探討纜索預力、結構形狀配置與非線性效應對於斜張橋整體結構穩定性之影響。文中所考慮之非線性效應包含樑-柱效應與纜索中垂效應。透過分析結果可知,應用本文所建立之分析理論與電算程式可針對各種對稱與不對稱斜張橋結構進行穩定性分析,並藉由臨界荷重值與對應之挫屈模態,可有效判斷橋樑結構的承載能力與運動行為,作為斜張橋設計及施工時之參考依據。樑-柱效應與纜索中垂效應會造成桿件元素勁度衰減,同時導致結構整體結構降低,臨界荷重值較線性分析低,挫屈模態則大致相同。
The aim of study concerns with the stability analysis of cable-stayed bridges. A finite element computation procedure has been set up for the stability analysis of such kind of structures. Three different types of cable-stayed bridges are selected in this paper, including symmetric harp cable-stayed bridge, symmetric radiating cable-stayed bridge and the unsymmetric Kao-Ping-Hsi Cable-Stayed Bridge. The linear stability analysis method is used in search of critical loads and corresponding buckling modes when the bridges are subjected to full span or main span uniform live loading. Based on the results of numerical analysis, the influences of the pretension force in cable stays, the shape of bridges and nonlinear effects on the stability of cable-stayed bridges will be also be studied. Nonlinear effects including beam-column effect and cable sag effect are considered in this paper. According to the extent of critical loads and corresponding buckling modes, the load capacity and active behavior of cable-stayed bridges could be judged efficiently.