带五种被动减振器的高层建筑基于Davenport谱随机风振响应的解析解法
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摘要
该文对带五种被动减振器的高层建筑的随机风振响应和等效静态设计风载取值进行了研究。针对目前已有的设置五种被动控制高层建筑用第一振型展开所获得的统一非经典的结构运动方程,该文用复模态法解耦,用随机振动方法获得结构风振响应解析式,并建立将结构分解为系列等效单自由度体系方法,继而利用等效单自由度体系随机风振响应的解析解,获得了带五种被动减振器的高层建筑基于现行规范Davenport谱对应的以第一振型表示的结构随机风振响应和等效静态设计风载取值的解析解。
The random wind-induced response and the equivalent static wind action of tall buildings with five sorts of passive dampers are studied. According to the unique non-classical dynamic equations established already by expanding the main structure with respect to the first mode,the complex model method is used to disconnect the equations,the universal method that disassembles the structure into a series of equivalent single degree of freedom systems is established,the precise solution of random wind-induce response and the equivalent static wind action basis on Davenport spectrum of the tall building structure with five sorts of passive dampers are obtained.
The random wind-induced response and the equivalent static wind action of tall buildings with five sorts of passive dampers are studied. According to the unique non-classical dynamic equations established already by expanding the main structure with respect to the first mode,the complex model method is used to disconnect the equations,the universal method that disassembles the structure into a series of equivalent single degree of freedom systems is established,the precise solution of random wind-induce response and the equivalent static wind action basis on Davenport spectrum of the tall building structure with five sorts of passive dampers are obtained.
引文
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[2]黄文俊.几种常见阻尼器的减振特性分析[J].地振工程与工程振动,2007,26(7):42―48.Huang Wenjun.Damping characteristic analysis of several common dampers[J].Earthquake Engineering and Engineering Vibration,2007,26(7):42―48.(in Chinese)
[3]瞿伟廉,陶牟华,Chang C C.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[J].建筑结构学报,2001,22(2):29―34.Qu Weilian,Tao Muhua,Chang C C.Practical design Method for effect of five kinds of passive dynamic Absorbers on fluctuation wind-induced vibration response control of tall buildings[J].Journal of Building Structures,2001,22(2):29―34.(in Chinese)
[4]李春祥,刘艳霞.高层建筑TMD风振控制优化设计[J].计算力学学报,2001,18(1):69―73.Li Chunxiang,Liu Yanxia.Optimum design of TMD for suppressing vibration of tall buildings subjected to wind[J].Chinese Journal of computational mechanics,2001,18(1):69―73.(in Chinese)
[5]Tan Dongyao.Discrete analysis method for structural correlation response[J].Computer&Structures,1996,58(1):143―153.
[6]李创第,李暾.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1―4.Li Chuangdi,Li Tun.Complex mode theory used for random wind-induced response of structures with TMD[J].Journal of Vibration and Shock,2003,22(2):1―4.(in Chinese)
[7]李创第,黄天立.基础隔振结构随机地震响应分析的复模态法[J].地振工程与工程振动,2002,22(6):122―128.Li Chuangdi,Huang Tianli.Complex model for analysis of random earthquake response of structures with base isolation[J].Earthquake Engineering and Engineering Vibration,2002,22(6):122―128.(in Chinese)
[8]李创第,黄天立.带TMD结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36―39.Li Chuangdi,Huang Tianli.The complex model methods for analysis of random earthquake response of structures with TMD[J].Journal of Vibration and Shock,2003,22(1):36―39.(in Chinese)
[9]杨庆山.悬索结构随机风振反应分析[J].建筑结构学报,1998,19(4):29―39.Yang Qingshan.Wind-induced random response analysis of cable roof structures[J].Journal of Building Structures,1998,19(4):29―39.(in Chinese)
[10]李桂青.工程结构时变可靠度理论及其应用[M].北京:科学出版社,2001:201―204.Li Guiqing.Theory and application of time dependent reliability for engineering structures[M].Beijing:Science Press,2001:201―204.(in Chinese)
[11]李创第.高层建筑玻璃幕墙线性与非线性的抗风动力可靠性分析(2)[J].工业建筑,1999,29(6):17―19.Li Chuangdi.The linear and nonlinear wind resistance dynamic reliability analysis of glass cladding of tall buildings(2)[J].Industrial Construction,1999,29(6):17―19.(in Chinese)
[12]李创第,黄天立.带TMD结构基于动力可靠性约束的抗震优化设计[J].地震工程与工程振动,2004,24(6):121―125.Li Chuangdi,Huang Tianli.Optimum design of structures with TMD based on constraint of dynamic reliability[J].Earthquake Engineering and Engineering Vibration,2004,24(6):121―125.(in Chinese)
[13]李创第,黄天立.TMD控制优化设计与振动台试验研究[J].土木工程学报,2006,39(7):19―25.Li Chuangdi,Huang Tianli.Optimal TMD design and shaking table test[J].China Civil Engineering Journal,2006,39(7):19―25.(in Chinese)
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