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（1 香港理工大學土木及環(huán)境工程學系， 香港 999077； 2 中山大學土木工程學院， 廣州 519082）
［摘要］變截面構件具有造型優(yōu)美、自重輕及用料省等特點，被廣泛應用于幕墻、廠房、橋梁、網(wǎng)殼等大跨度結構。傳統(tǒng)變截面構件的設計方法采用一階線性分析理論，無法反映構件在復雜結構中的真實內力與變形?；谟邢拊碚?，提出適用于大變形、大轉角等非線性問題的變截面構件直接分析法。推導出構件最不利幾何缺陷模型及包含該缺陷的高階變截面歐拉-伯努利梁柱單元，提出用于穩(wěn)定設計的變截面構件承載力計算公式。驗證算例表明，該一單元一構件的分析設計方法準確高效，可應用于任意變截面結構形式的分析與設計。
［關鍵詞］變截面構件； 直接分析法； 梁柱單元； 初始缺陷； 彎曲失穩(wěn)； 二階效應
中圖分類號：TU318-1文獻標識碼：A文章編號：1002-848X(2019)16-0065-07
Theory and application of the direct analysis method for tapered members with I sections
Bai Rui1, Liu Siwei2, Liu Yaopeng1, Chan Siulai1
(1 Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong 999077, China; 2 School of Civil Engineering, Sun-Yat-Sen University, Guangzhou 519082, China)
Abstract:Due to the material efficiency and the aesthetic appearance, the tapered members have been widely used in long-span structures, such as the portal frame, facade, bridge and reticulated shell. The conventional design method of tapered members is developed based on the empirical linear analysis approach with the effective length assumption and is only applicable to the web-tapered members. Moreover, the analysis method may incorrectly evaluate the member deflection and internal forces in complicated structures. To remedy the insufficiencies, the direct analysis method (DAM) with one-element-pre-member modeling approach was developed. Based on the theory of the finite element method, an advanced tapered Euler-Bernoulli beam-column element was derived. The function to represent the most critical initial geometric imperfection was presented. The flexural buckling design of tapered columns with the proposed method was demonstrated. Compared to the conventional method, the advanced method is more reliable and efficient and can be applied to the tapered members with any tapering scenarios.
Keywords:tapered member; direct analysis method; beam-column element; initial geometric imperfection; flexural buckling; second-order effects
*中山大學科研啟動金（76140-18831105），香港教育資助委員會（PolyU 152039/18E）。
通訊作者：劉思威，博士，副教授，Email: liusw8@mail.sysu.edu.cn。
