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[]1002-8528(2003)04-0014-03高层建筑的重力二阶效应分析方法与主要影响因素肖从真,王翠坤,张维(中国建筑科学研究院,北京100013)[ ],、,(P-Δ)。,。[];;[]TU973+.2 []AP-ΔEffectandItsMainInfluentialFactorsforTallBuildingXIAOChong-Zheng,WANGCui-kung,ZHANGWei-yue(ChinaAcademyofBuildingResearch,Beijing100013,China)[Abstract]TheP-Δeffectisgettingmoreandmoreimportantwiththedevelopmentandincreaseinstorynumberandheightoftallbuildings.Inthispaper,theanalysisprogramconsideringtheP-Δeffecthasbeendeveloped.SomefactorswhicheffluencetheP-Δeffectwerediscussed.[Keywords]tallbuildings;P-ΔEffect;analysisprogram[]2003-05-12[](:59895410)[](1968-),,,1 ,,,PΔ,P-Δ,[2](P-Δ)。。,,,,,P-Δ,,P-Δ。,,P-Δ,P-Δ。2 ,1。,i: mi=wiui(1),wii;uii。,1c, qi=wiui/hi(2),hii。(2)P-Δ。1 P-Δ,Δ0={u01,u02,…,u0N}T ,,,P0={p01,p02,…,p0N}T ,,Δ1={u11,u12,…,u1N}T ,,,P-Δ。, 194建 筑 科 学Vol.19,No.4 20038 BUILDINGSCIENCEAug.2003DOI:10.13614/j.cnki.11-1962/tu.2003.04.004,、,Wilson[1]。,,。。1:KU=F+LU(3),K;Lwi;U。(3): K＊U=F(4),K＊=K-L。P-Δ。wi,K＊,,。ui=(ui-ui-1)+(ui-1-ui-2)+…=∑ij=1(uj-uj-1)(5) mi=wi∑ij=1(uj-uj-1)(6)i,,qijqij-1=(wi/hj)1-1-11uijuij-1(7) (i=1,N,j=1,i),qiqi-1=(Wi/hj)1-1-11uiui-1(8),qii;Wii。WiL,(4),P-Δ,。,,,,2。2 P-Δq1=-q2=Nl(Δ1-Δ2)(9),N。(4),P-Δ。3 P-Δ,3。3 ,P-Δ,P-Δ,。,,,,P-Δ。3.1 ,,P-Δ,,,P-Δ。,,,。,1,1/800[2];2,1/500[3]。3m。1,2。1 (mm)(mm)(mm)1500800×800500×8002350600×600350×8002 1(mm)2(mm)P-Δ(%)P-Δ(%)205.905.981.449.179.341.853023.5524.343.3834.9436.544.594063.3267.346.3596.48103.867.6550136.63151.1410.62208.87240.83154,: ,P-Δ。,,P-Δ;,,,P-Δ。3.2 ,1(10kN/m2、6kN/m2),3。3 (mm)()6kN/m2()10kN/m2P-Δ(%)P-Δ(%)205.905.961.005.905.981.443023.5524.112.3823.5524.343.384063.3266.154.4763.3267.346.3550136.63146.737.39136.63151.14P-Δ,、,,。P-Δ,,P-Δ。3.3 P-Δ。,,,P-Δ;,,,P-Δ。P-Δ,1,20、30、40、50,1/800,,,P-Δ。4。4 (mm)P-ΔP-Δ(%)2059.16(1/1014)66.7412.83087.7(1/1026)97.5711.2540113.05(1/1062)125.010.5750140.97(1/1064)156.4610.98,P-Δ。,,,P-Δ,。4 ,(P-Δ)。,,,,,,,。,,,。,,,,,,,,50%,。,,,。,。,,,。[][1]E.L.Wilson,M.EERIandA.Habibullah.StaticandDynamicAnalysisofMulti-StoryBuildings,IncludingP-ΔEffects[R].EarthquakeSpectra,Vol.3,No.2,1987.[2],JGJ3-91,[S].1991.[3],JGJ99-98,[S].1998.16建筑科学19