含单伸臂的框架核心筒结构简化模型的力学分析.docx

学科代码：560.30
含单伸臂的框架-核心筒结构简化模型的力学分析
邓仲良2，李国强1,2，孙飞飞1,2，胜利2
（1.同济大学土木工程防灾国家重点实验室，上海200092；2.同济大学土木工程学院建筑工程系，上海200092）

摘要：含伸臂的框架-核心筒结构（简称芯筒-刚臂结构）是高层和超高层建筑的一种优越结构形式，其具有较大的抗侧移刚度。已有研究表明，利用平面简化模型分析利于揭示该类结构的受力特性。对于仅含单刚臂的芯筒结构，伸臂一般设置在距离一半楼高处，本文对这种含单刚臂的芯筒结构的平面简化模型进行理论分析，将刚臂和外柱参与抵抗倾覆力矩的能力简化为抗弯弹簧，分析结构的静力和动力特性；并且基于Rayleigh能量法提出求解其基本频率的近似理论解。结合工程实例，对比分析简化模型和二维有限元模
型的静力、动力计算结果，结果表明，采用这种弹簧模型的芯筒-刚臂结构简化模型满足工程设计精度的需要。另一方面，本文提出的针对单刚臂-芯筒结构的抗侧刚度和近似基频的计算方法，为该类结构的减震分析提供理论基础。
关键字：芯筒-刚臂结构抗弯弹簧抗侧刚度整体稳定性基频Rayleigh法
中图分类号：TU32/399-01 文献标识码：A 文章编号：D009

Mechanicalanalysisofthesimplifiedmodelforframe-core
structureswithoneoutrigger
DengZhong-liang2,LiGuo-qiang1,2,SunFei-fei1,2,ShengLi2
(1.StateKeyLaboratoryforDisasterReductioninCivilEngineering,TongjiUniversity,Shanghai200092,China;
2.BuildingDepartment,CollegeofCivilengineering,TongjiUniversity,shanghai200092,China.)

Abstract:Thecore-outriggerstructure(COS)isanefficientstructuralstyle,whichhaslargelateralstiffness.Previousstudyindicatesthatthemechanicalforcecouldbeclearlydemonstratedbyapplyingtheplanesimplifiedmodel.Fortheframe-corestructurewithoneoutrigger,thelocationoftheoutriggerisatthedistanceofhalfbuildingheight.Inthispaper,thetheoreticalanalysisofstaticanddynamicpropertyarefinishedforthecore-outriggerstructure,theabilityofresistingoverturningmomentbytheparticipationofexteriorcolumnsandtheoutriggercouldbesimplifiedasabendingspring.Inaddition,theappropriatetheoreticalvalueofthefundamentalfrequencybasedontheRayleighenergymethodisalsoobtained.Furthermore,combinedwithpracticalprojects,thestaticanddynamicpropertiesofsimplifiedmodeland2Dplanerfiniteelementmodelareaccordant,whichshowthatthefundamentalfrequencyofthesimplifiedmodelwithbendingspringisveraciousenoughtosatisfythepreliminarydesignofCOS.Ontheotherhand,theapproximatetheoreticalsolutionoflateralrigidityandfundamentalfrequencyofcore-outriggerstructureslaysolidfoundationofseismicreductionanalysisforCOSs.
Keywords:Core-outriggerstructures,bendingsprings,lateralstiffness,globalstability,funda