超高层建筑在正弦风荷载作用下的横向振动
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摘要
研究了超高层建筑在变化的风荷载作用下的振动响应。将风荷载假设为正弦变化的外力,同时考虑了风力做功、动能与建筑自身重力做功。根据哈密顿原理,得出了横向振动的控制方程和固有边界条件。据此可求得振动频率的变化,以及横向振动位移随着时间和高度坐标尺度的三维走势。结果表明:横向振动频率随着建筑高度的增加而减小,风力作用下的横向振动为低频响应。
The vibration resonance of super-high buildings subjected to variational wind loads is investigated.The loads are assumed to be of sine form and the work is assumed to be done by wind.Besides,the kinetic energy and the work done by gravity of the building are considered together.Governing equation and the inherent boundary conditions are obtained based on Hamilton principle.The variations of vibration frequency and transverse displacement with respect to time and height coordinates can be solved from the mathematical model.The theoretical results show that vibration frequency decreases with increasing height of the building and it is lower-frequency vibration for the effects of wind loads.
The vibration resonance of super-high buildings subjected to variational wind loads is investigated.The loads are assumed to be of sine form and the work is assumed to be done by wind.Besides,the kinetic energy and the work done by gravity of the building are considered together.Governing equation and the inherent boundary conditions are obtained based on Hamilton principle.The variations of vibration frequency and transverse displacement with respect to time and height coordinates can be solved from the mathematical model.The theoretical results show that vibration frequency decreases with increasing height of the building and it is lower-frequency vibration for the effects of wind loads.
引文
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[3]LIN Z C,CHENG C H.The application of systematic knowledge analysis for improved door structure designs[J].ExpertSystems with Applications,2010,37(11):7299-7309.
[4]王中华,吴筱秋.多层砖房设计中的抗震概念[J].江南大学学报:自然科学版,2002,1(3):250-253.WANG Zhong-hua,WU Xiao-qiu.Seismic concept in design of multistory masonry building[J].Journal of Southern YangtzeUniversity:Natural Science Edition,2002,1(3):250-253.(in Chinese)
[5]沈朝勇,周福霖,黄襄云,等.错位转换高层建筑结构竖向地震作用下的抗震性能研究[J].振动与冲击,2009,28(8):128-133.SHEN Cao-yong,ZHOU Fu-lin,HUANG Xiang-yun,et al.Vertical aseismic performance of high-rise building with staggertransfer stories[J].Journal of Vibration and Shock,2009,28(8):128-133.(in Chinese)
[6]Brownjohn J M W,Pan T C.Response of tall buildings to week long distance earthquakes[J].Earthquake Engineering andStructural Dynamics,2001,30(5):709-729.
[7]SHI W X,SHAN J Z.Analysis of change in dynamic properties of tall building after numbers of earthquake actions[C]//Proceedings of the 7th international conference on tall buildings.Hong Kong:[s.n.],2010:257-265.
[8]苏国,陈水福,唐锦春.高层建筑横风向失稳振动机理的数值分析[J].江南大学学报:自然科学版,2008,7(2):227-233.SUGuo,CHENShui-fu,TANG Jing-chun.Numerical analysis on physical mechanism of flexible high-rise′s unstable aeroelasticphenomena in cross-wind[J].Journal of Jiangnan University:Natural Science Edition,2008,7(2):227-233.(in Chinese)
[9]王松帆,汤华.超高层建筑的风振响应及等效静风荷载研究[J].建筑科学与工程学报,2010,27(1):102-107.WANG Song-fan,TANG Hua.Research on wind vibration response and equivalent static wind loads of super high-rise buildings[J].Journal of Architecture and Civil Engineering,2010,27(1):102-107.(in Chinese)
[10]CHEN X W,HAN X L.Research summary on long-span connected tall building structure with viscous dampers[J].StructuralDesign of Tall and Special Buildings,2010,19(4):439-456.
[11]Ng C L,Wong K C,Lee D C S,et al.The application of wind tunnel study and vibration control in building design[C]//Proceedings of the 7th international conference on tall buildings.Hong Kong:[s.n.],2010:785-793.
[12]Saito T,Shiba K,Tamura K.Vibration control characteristics of a hybrid mass damper system installed in tall buildings[J].Earthquake Engineering and Structural Dynamics,2001,30(11):1677-1696.
[13]HUANG R X,LI A Q.Application of static-dynamic analytical method to vibration-absorptive analysis of high-rise buildings[C]//Proceedings of the 7thinternational conference on tall buildings.Hong Kong:[s.n.],2010:777-783.
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