結(jié)構(gòu)設(shè)計(jì)中如何全面考慮P-Δ效應(yīng)
李楚舒1，李立1，劉春明2，魏旭豪1
- 摘 要
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（1 北京筑信達(dá)工程咨詢(xún)有限公司， 北京 100043； 2 CSI公司， 伯克利 94704）［摘要］從P-Δ效應(yīng)的定義入手，分析了幾何剛度和線性屈曲分析的力學(xué)概念，指出這幾個(gè)概念之間存在本質(zhì)的聯(lián)系，同時(shí)分析了建筑結(jié)構(gòu)中P-Δ貢獻(xiàn)與P-δ貢獻(xiàn)。在介紹一階方法、二階方法和直接法三種方法之后，指出國(guó)內(nèi)外通常考慮P-Δ效應(yīng)的二階方法是：1）在結(jié)構(gòu)分析中考慮P-Δ貢獻(xiàn)；2）在構(gòu)件設(shè)計(jì)中考慮P-δ貢獻(xiàn)。結(jié)合ETABS2013軟件，提出了具體的實(shí)現(xiàn)方法，特別是提出建議采用線性屈曲因子作為剛重比控制條件的度量指標(biāo)，可以統(tǒng)一和簡(jiǎn)化對(duì)剛重比的計(jì)算，還介紹了AISC針對(duì)P-Δ效應(yīng)計(jì)算的基準(zhǔn)測(cè)試問(wèn)題。［關(guān)鍵詞］P-Δ效應(yīng); 幾何剛度; 線性屈曲分析; ETABS; 剛重比; 屈曲因子中圖分類(lèi)號(hào)：TU318，TU973 文獻(xiàn)標(biāo)識(shí)碼：A 文章編號(hào)：1002-848X(2014)05-0078-05Methods to consider full P-Δ effects in structural designLi Chushu1, Li Li1, Liu Chunming2, Wei Xuhao1(1 Beijing Construction Information Solution Engineering Consulting, Beijing 100043, China; 2 Computers and Structures Inc., Berkeley 94704, USA)Abstract: Geometric stiffness and linear buckling analysis were analyzed based on the concepts for P-Δ effects, which came to the conclusion that these concepts have relationships in nature. Contributions of P-Δ and P-δ were analyzed as well. First-order method, second-order method and direct method were introduced and the common methods considering P-Δ effects in the second-order method at home and abroad were introduced as two steps, including: 1) considering P-Δ contribution in analysis phrase; 2) considering P-δ contribution in member design phrase. With ETABS2013 software, the concrete realization method was put forward. It was especially suggested that linear buckling factor can be used as the control conditions of stiffness to gravity ratio, so the computation of stiffness to gravity ratio can be unified and simplified. The benchmark problems proposed by AISC on P-Δ effects calculation were introduced as well.Keywords: P-Δ effect; geometric stiffness; linear buckling analysis; ETABS; stiffness to gravity ratio; buckling factor作者簡(jiǎn)介：李楚舒，博士，教授級(jí)高級(jí)工程師，Email：lics@cisec.cn。參考文獻(xiàn)［1］CSI分析參考手冊(cè)[M]. Computers and Structures Inc., 北京筑信達(dá)工程咨詢(xún)有限公司, 2013.[2]EDWARD L WILSON. Static and dynamic analysis of structures[M]. 4th ed. Berkeley: Computers and Structures Inc., 2010.[3]POWELL G H. Modeling for structural analysis: behavior and basics [M]. Berkeley: Computers and Structures Inc., 2010.[4]扶長(zhǎng)生, 周立浪, 張小勇. 長(zhǎng)周期高層鋼筋混凝土建筑的P-Δ效應(yīng)與穩(wěn)定設(shè)計(jì)[J]. 建筑結(jié)構(gòu), 2014,44（2）：1-7.[5]JGJ 3—2010 高層建筑混凝土結(jié)構(gòu)技術(shù)規(guī)程[S]. 北京：中國(guó)建筑工業(yè)出版社，2011.[6]GB 50010—2010 混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范[S]. 北京：中國(guó)建筑工業(yè)出版社，2011.[7]AISC 360-10 Specification for structural steel buildings [S].American Institute of Steel Construction, 2010: 276-277.
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