非同轴刚度偏心高层建筑平-扭耦合风振响应的研究
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摘要
提出了分析非同轴刚度偏心结构风振响应的基本框架。第一,建立了两层6个自由度(6DOFs)非同轴刚度偏心结构的动力方程。第二,将建立的动力方程扩展至多层(大于两层)非同轴刚度偏心结构情况。第三,基于顺风向、横风向及扭转风荷载功率谱,并考虑横风向与扭转风荷载间相关性及模态响应间耦合,建立了非同轴刚度偏心结构风致平-扭耦合响应的分析方法。最后,以15DOFs结构为例,通过设置结构不同刚度偏心,数值研究了非同轴刚度偏心对结构风致平-扭耦合响应的影响。
A dynamic analysis framework of non-coaxial eccentric structures under wind loading was presented here.Firstly,the dynamic equations of a two-storey non-coaxial eccentric structure with 6-DOF were set up.Secondly,the dynamic equations of a multi-storey non-coaxial eccentric structure were obtained via extending those of a two-storey non-coaxial eccentric structure.Thirdly,based on the power spectra of wind forces in along-wind,across-wind,and torsional directions,considering both intermodal coupling of modal response components and statistical correlation between across-wind and torsional wind loading,the analysis methodology for wind-induced lateral-torsional coupled responses of structures with non-coaxial mass eccentricity was developed in frequency domain.Eventually,taking a structure with 15-DOF for example,the effects of non-coaxial stiffness eccentricity on its wind-induced lateral-torsional coupled responses were analyzed numerically through selecting different locations of stiffness eccentricity.
A dynamic analysis framework of non-coaxial eccentric structures under wind loading was presented here.Firstly,the dynamic equations of a two-storey non-coaxial eccentric structure with 6-DOF were set up.Secondly,the dynamic equations of a multi-storey non-coaxial eccentric structure were obtained via extending those of a two-storey non-coaxial eccentric structure.Thirdly,based on the power spectra of wind forces in along-wind,across-wind,and torsional directions,considering both intermodal coupling of modal response components and statistical correlation between across-wind and torsional wind loading,the analysis methodology for wind-induced lateral-torsional coupled responses of structures with non-coaxial mass eccentricity was developed in frequency domain.Eventually,taking a structure with 15-DOF for example,the effects of non-coaxial stiffness eccentricity on its wind-induced lateral-torsional coupled responses were analyzed numerically through selecting different locations of stiffness eccentricity.
引文
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[5]Tallin A,Ellingwood B.Wind-induced lateral-torsionalmotion of tall buildings[J].J Struct Eng,ASCE,1985,111(10):2197-2213.
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[7]Kareem A.Lateral-torsional motion of tall building to windloads[J].J Struct Eng,ASCE,1992,111(11):2479-2496.
[8]Chen X,Kareem A.Coupled dynamic analysis ans equivalentstatic wind loads on buildings with three-dimensional modes[J].J Struct Eng,ASCE 2005,131(7):1071-1082.
[9]于安琪.非同轴偏心结构平扭耦合风振响应的研究[D].上海:上海大学,2011.
[10]李春祥,李锦华,顾新花.非同轴质量偏心结构平扭耦合风振响应的研究[J].振动与冲击,2011,30(4):67-80.LI Chun-xiang,LI Jin-hua,GU Xin-hua.Wind-inducedlateral-torsional coupled vibration responses of a structure withnon-coaxial mass eccentricity[J].Journal of Vibration andShock,2011,30(4):67-80.
[11]Wu J R,Li Q S.Wind-induced lateral-torsional coupled responses of tall buildings[J].Wind and Structures,2008,11(2):153-178.
[2]周云,刘纯,汪大洋.高层建筑楼顶钢塔风振效应的参数研究[J].振动与冲击,2011,30(2):48-54.ZHOU Yun,LIU Chun,WANG Da-yang.Parameterinfluences on wind-induced vibration of a high-rise buildingwith steel tower protrusion[J].Journal of Vibration andShock,2011,30(2):48-54.
[3]陈小兵,陈常清,周云,等.某高层结构风振与地震反应控制设计方案的对比分析[J].振动与冲击,2011,30(4):223-229.CHEN Xiao-bing,CHEN Chang-qing,ZHOU Yun,et al.Comparative analysis of control plans against wind andearthquake for a high-rise building[J].Journal of Vibrationand Shock,2011,30(4):223-229.
[4]沈平川,王国砚,张方.偏心高层建筑风致弯扭耦合振动研究[C].第十四届全国结构风工程学术会议论文集(上册),2009:384-389.
[5]Tallin A,Ellingwood B.Wind-induced lateral-torsionalmotion of tall buildings[J].J Struct Eng,ASCE,1985,111(10):2197-2213.
[6]Safak E,Foutch D A.Coupled vibrations of rectangularbuilding subjected to normality-incident random wind loads[J].J Wind Eng Ind Aerodyn,1987,126:129-148.
[7]Kareem A.Lateral-torsional motion of tall building to windloads[J].J Struct Eng,ASCE,1992,111(11):2479-2496.
[8]Chen X,Kareem A.Coupled dynamic analysis ans equivalentstatic wind loads on buildings with three-dimensional modes[J].J Struct Eng,ASCE 2005,131(7):1071-1082.
[9]于安琪.非同轴偏心结构平扭耦合风振响应的研究[D].上海:上海大学,2011.
[10]李春祥,李锦华,顾新花.非同轴质量偏心结构平扭耦合风振响应的研究[J].振动与冲击,2011,30(4):67-80.LI Chun-xiang,LI Jin-hua,GU Xin-hua.Wind-inducedlateral-torsional coupled vibration responses of a structure withnon-coaxial mass eccentricity[J].Journal of Vibration andShock,2011,30(4):67-80.
[11]Wu J R,Li Q S.Wind-induced lateral-torsional coupled responses of tall buildings[J].Wind and Structures,2008,11(2):153-178.
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