高层建筑TMD风振控制分析的复模态法
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摘要
本文对带TMD的高层建筑风振响应问题进行了系统研究。首先建立了运动方程 ,然后用第一振型将主体结构展开 ,针对所得方程为非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱的情况 ,用线性滤波过程生成脉动风谱 ,用复模态理论和扩阶法进行解耦 ,获得了等效风谱对应的以第一振型表示的结构风振响应的解析解。本文方法可用于带TMD结构的风振与抗风可靠度分析以及基于可靠度约束的抗风优化设计。
In the paper,the random wind-induced response of tall buildings with tuned mass dampers is studied systematically.The dynamic equations are established and the main structure is expanded with respect to the first mode.In accordance with the situation that the damping is non-classical damping and the random wind spectrum is of irrational fraction character,the random wind spectrum is generated by using linear filtering process and the dynamic equations are decoupled by complex mode theory and expanding rank approach.The analytic solution of wind-induced response which is expressed by the first mode shape and corresponds to equivalent wind spectrum is given out.The wind-induced response analysis and optimization design of structures with TMD can be conducted accordingly through this procedure.
In the paper,the random wind-induced response of tall buildings with tuned mass dampers is studied systematically.The dynamic equations are established and the main structure is expanded with respect to the first mode.In accordance with the situation that the damping is non-classical damping and the random wind spectrum is of irrational fraction character,the random wind spectrum is generated by using linear filtering process and the dynamic equations are decoupled by complex mode theory and expanding rank approach.The analytic solution of wind-induced response which is expressed by the first mode shape and corresponds to equivalent wind spectrum is given out.The wind-induced response analysis and optimization design of structures with TMD can be conducted accordingly through this procedure.
引文
1 李春祥,刘艳霞.高层建筑TMD风振控制优化设计.计算力学学报,2001(1):69—73
2 瞿伟廉,陶牟华,ChangCC .五种被动动力减振器对高层建筑脉动风振反应控制的实用设计方法.建筑结构学报,2001(2):29—34
3 TanDongyao.DiscreteAnalysisMethodforStructuralCorrelationResponses.Computer&Structures1996(1):143—153
4 杨庆山,沈世钊.悬索结构随机风振反应分析.建筑结构学报,1998(4):29—39
5 FawzyI ,BishopRED .Onthedynamicsoflinearnon_conservativesystems.Proc.Roy.Soc.,LondenSer.A .1976,25:352
6 FangT ,WangZN .Stationaryresponsetosecond_orderfilteredwhitenoiseexcitation.AIAA ,J 1986,24(6):1048—1051
7 李创第.线性与非线性随机过程时变可靠度理论及其在高层建筑玻璃幕墙非线性抗风抗震设计中的应用.[学位论文]:武汉:武汉工业大学 1999
8 归行茂等.数学手册.上海:上海科普出版社 1993:19—21
9 李桂青.结构动力可靠性理论及其应用.北京:地震出版社,1993:180—200
10 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1).工业建筑,1999:40—45
11 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2).工业建筑,1999:17—19
2 瞿伟廉,陶牟华,ChangCC .五种被动动力减振器对高层建筑脉动风振反应控制的实用设计方法.建筑结构学报,2001(2):29—34
3 TanDongyao.DiscreteAnalysisMethodforStructuralCorrelationResponses.Computer&Structures1996(1):143—153
4 杨庆山,沈世钊.悬索结构随机风振反应分析.建筑结构学报,1998(4):29—39
5 FawzyI ,BishopRED .Onthedynamicsoflinearnon_conservativesystems.Proc.Roy.Soc.,LondenSer.A .1976,25:352
6 FangT ,WangZN .Stationaryresponsetosecond_orderfilteredwhitenoiseexcitation.AIAA ,J 1986,24(6):1048—1051
7 李创第.线性与非线性随机过程时变可靠度理论及其在高层建筑玻璃幕墙非线性抗风抗震设计中的应用.[学位论文]:武汉:武汉工业大学 1999
8 归行茂等.数学手册.上海:上海科普出版社 1993:19—21
9 李桂青.结构动力可靠性理论及其应用.北京:地震出版社,1993:180—200
10 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1).工业建筑,1999:40—45
11 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2).工业建筑,1999:17—19
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