含TMD-TLCD的高层建筑结构振动混合控制研究
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摘要
作为结构抗震主要手段之一的TMD和TLCD技术,因具有良好的调谐特性而被广泛研究,但把两者结合起来进行振动控制的研究还较少。把此两种控制技术结合在一起可以有效地利用楼顶部的水箱而达到减轻TMD的质量。本文以TMD-TLCD混合控制为研究对象,在建筑物采用多自由度的前提下,详细推导了系统的振动方程。此外,还考虑到TLCD中含有非线性,本文采用了等价线性化原理进行了处理,并分析了其误差。最后,以12层建筑结构为实例,计算结果表明本文方法减震效果明显。
As a primary means in structure anti-seismic fields,TMD and TLCD have been widely developed for their good tuning characteristics,yet the research on the combination of both seems scanty.To combine these two control technologies,the design mass of TMD can be effectively reduced,using the tank on the roof.The paper,with TMD-TLCD hybrid control as research subject,deduces the vibration equations when the building uses multi-degree freedom system,adopting the equivalence linearization principle owing to the presence of non-linearity in TLCD,and analyzes the corresponding errors.The method is proven capable of depressing the structural response with 12-story building as a case in point.
As a primary means in structure anti-seismic fields,TMD and TLCD have been widely developed for their good tuning characteristics,yet the research on the combination of both seems scanty.To combine these two control technologies,the design mass of TMD can be effectively reduced,using the tank on the roof.The paper,with TMD-TLCD hybrid control as research subject,deduces the vibration equations when the building uses multi-degree freedom system,adopting the equivalence linearization principle owing to the presence of non-linearity in TLCD,and analyzes the corresponding errors.The method is proven capable of depressing the structural response with 12-story building as a case in point.
引文
[1]李春祥.地震作用下高层建筑TMD控制研究与设计[J].交通大学学报,1999,33(6)746-749.
[2]Sakai F,Takaeda S,Tamaki T.Tuned liquid column damper-new type device for suppression of building vibrations.In:Proceedings of International Conference on High-rise Buildings,Nanjing,China,1989:926-31.
[3]Clark A J.Multiple passive tuned mass damper for reducing earth-quake induced building motion[C].Pro 9th World Confon Earth-quake Engrg,1988:283-290.
[4]蔡国平,孙峰等.MTMD控制结构地震反应的特性研究[J].工程力学,2000,17(3):55-59.
[5]周星德,刘志军.含饱和作动器的主动TMD振动控制研究[J].动力学与控制学报,2006,4(1):69-72.
[6]周星德,徐艳红.建筑结构STMD参数优化研究[J].应用力学学报,2007,9(3):408-411.
[7]Z.G.Yinga,Y.Q.Nib,J.M.Kob.Semi-active optimal control of linearized systems with multi-degree of freedom and ap-plication.Journal of Sound and Vibration,2005,279:373-388.
[8]T.Balendra,C.M.Wang,N.Yan.Control of wind-excitedtowers by active tuned liquid column damper.Engineering Struc-tures 23(2001)1054-1067.
[9]王肇民.高耸结构振动控制[M].上海:同济大学出版社,1997.
[2]Sakai F,Takaeda S,Tamaki T.Tuned liquid column damper-new type device for suppression of building vibrations.In:Proceedings of International Conference on High-rise Buildings,Nanjing,China,1989:926-31.
[3]Clark A J.Multiple passive tuned mass damper for reducing earth-quake induced building motion[C].Pro 9th World Confon Earth-quake Engrg,1988:283-290.
[4]蔡国平,孙峰等.MTMD控制结构地震反应的特性研究[J].工程力学,2000,17(3):55-59.
[5]周星德,刘志军.含饱和作动器的主动TMD振动控制研究[J].动力学与控制学报,2006,4(1):69-72.
[6]周星德,徐艳红.建筑结构STMD参数优化研究[J].应用力学学报,2007,9(3):408-411.
[7]Z.G.Yinga,Y.Q.Nib,J.M.Kob.Semi-active optimal control of linearized systems with multi-degree of freedom and ap-plication.Journal of Sound and Vibration,2005,279:373-388.
[8]T.Balendra,C.M.Wang,N.Yan.Control of wind-excitedtowers by active tuned liquid column damper.Engineering Struc-tures 23(2001)1054-1067.
[9]王肇民.高耸结构振动控制[M].上海:同济大学出版社,1997.
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