- 摘 要
-
（上海長福工程結構設計事務所， 上海 200031）
［摘要］應用解析解和能量法討論了等截面均質懸臂桿模型以及基于頂點位移等效原理的等效剛重比的理論缺陷和不確定性，明確指出帶P-Δ桿或P-Δ柱的力學模型是對結構進行P-Δ效應數(shù)值分析的最理想模型。按我國規(guī)范，提出按小震和大震二階段進行穩(wěn)定設計的學術觀點。建議在基于承載力的小震設計中，將使用有限元法得到的屈曲因子直接作為判別結構整體穩(wěn)定性的設計指標，使用“直接法”確定放大的位移和彎矩。在基于變形的大震設計中，同時考慮材料非線性和構件幾何非線性，計算塑性（廣義）變形，評估結構的抗震性能目標。
［關鍵詞］屈曲分析; P-Δ效應分析; 材料非線性; 幾何非線性
中圖分類號：TU398.2 文獻標識碼：A 文章編號：1002-848X(2014)02-0001-07
P-Δ effect analysis and stability design of long-period super high-rise RC buildings
Fu Changsheng, Zhou Lilang, Zhang Xiaoyong
(Shanghai ChinaFu Structural Design Inc., Shanghai 200031, China)
Abstract: By using the analytical solutions and energy method, the uncertainties and theoretical discrepancies were discussed of the model of homogeneous cantilever strut with uniform section and equivalent rigidity-to-gravity ratio based on vertex displacement equivalent principle. It is concluded that the model with P-Δ strut or P-Δ column is the most reasonable model to carry numerical analysis of the P-Δ effects. In accordance with the codes in China, it is proposed that the stability design could be done in two stages of frequent and rare earthquakes. The suggestions are made that in the seismic design under frequent earthquake based on bearing capacity, the buckling factor obtained by FEM could be used to judge the overall stability of the structure and the magnified lateral displacements and moments could be determined by ‘direct method’. In the seismic design under rare earthquake based on deformation, both of material and geometrical nonlinearity should be considered to calculate plastic deformation and estimate the performancebased seismic design objectives of the structure.
Keywords: buckling analysis; P-Δ effect analysis; material nonlinearity; geometrical nonlinearity
作者簡介：扶長生，教授級高級工程師，Email：cfstruct@vip.sina.com。
參考文獻
［1］徐培福，肖從真. 高層建筑混凝土結構的穩(wěn)定設計［J］. 建筑結構，2001，31（8）：69-72.
［2］JGJ 3—2010 高層建筑混凝土結構技術規(guī)程［S］. 北京：中國建筑工業(yè)出版社，2011.
［3］陸天天，趙昕，丁潔民，等. 上海中心大廈結構整體穩(wěn)定性分析及巨型柱計算長度研究［J］. 建筑結構學報，2011，32（7）：8-14.
［4］TEMOSHENKO S P，GERE J G. Theory of stability［M］. 2nd ed. New York：ＭcGraw-Hill，1961.
［5］POWELL G H. Modeling for structural analysis: behavior and basics［M］. Berkeley：Computers and Structures Inc., 2010.
［6］GB 50010—2010 混凝土結構設計規(guī)范［S］. 北京：中國建筑工業(yè)出版社，2011.
［7］FEMA 440 Improvement of nonlinear static seismic analysis procedures［S］. Federal Emergency Management Agency, 2005.
［8］Computer & Structures, Inc. Perform-3D manual-components and elements［M］.Version 4.Berkeley: Computer & Structures, Inc., 2006.
［9］扶長生. 抗震工程學——理論與實踐［M］. 北京：中國建筑工業(yè)出版社，2013.
［10］何誠，張曉光.南通熔盛大廈辦公樓彈塑性時程分析［J］.建筑結構，2013，43（8）：1-5.
