利用连接装置控制两相邻结构的地震动响应
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摘要
运用连接单元来减小平行结构的振动一直是结构振动控制领域的重要课题。该文将两平行结构简化为两单自由度体系 ,用 Voigt粘弹性阻尼器模型表示被动的连接单元 ,运用 Kuhn- Tucker优化原理导出了在地面随机激励下被动连接单元的优化刚度和阻尼值的一般表达式 ,优化控制目标是在保证两平行结构的平均振动能量均得到控制的条件下 ,使两平行结构的总平均振动能量为最小。研究表明优化刚度和阻尼值仅与两平行结构的相对自振频率和相对质量有关 ,同时 ,一实际平行结构在频率域和时间域的数值结果说明了这种被动的控制方法能够非常有效地减小在地震作用下相邻两平行结构的振动响应
Reducing the seismic response of two adjacent structures using a link has been always an important topic in the field of structural vibration control in the past decade.The two adjacent structures are simplified as two single degree of freedom systems coupled by a visco elastic damper which is represented by the Voigt model subjected to stationary white noise ground motion.The optimal values for the damper are determined to minimize the total averaged vibrational energy of the two adjacent structures while guaranteeing the averaged vibrational energy of each of the two structures reduced.The optimal stiffness and damping values depend on the relative natural frequency and mass of the two adjacent structures,consequently,the control effectiveness in terms of the total vibrational energy also depends on relative structural parameters of the two structures.Numerical results of a real parallel structure in frequency and time domains show that the proposed control strategy could significantly reduce the seismic response of both structures.
Reducing the seismic response of two adjacent structures using a link has been always an important topic in the field of structural vibration control in the past decade.The two adjacent structures are simplified as two single degree of freedom systems coupled by a visco elastic damper which is represented by the Voigt model subjected to stationary white noise ground motion.The optimal values for the damper are determined to minimize the total averaged vibrational energy of the two adjacent structures while guaranteeing the averaged vibrational energy of each of the two structures reduced.The optimal stiffness and damping values depend on the relative natural frequency and mass of the two adjacent structures,consequently,the control effectiveness in terms of the total vibrational energy also depends on relative structural parameters of the two structures.Numerical results of a real parallel structure in frequency and time domains show that the proposed control strategy could significantly reduce the seismic response of both structures.
引文
1 HousnerG W,MasriS F.Structural control research is-sues arising out of theNorthridge andKobe earth-quakes.In:Proceeding of11thWorldConference onEarthquakeEngineering,PaperNo.2009,1996
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3 ZhuH P,IemuraH.A study of response control on thepassive coupling elem ent between two parallel struc-tures.InternationalJournal ofStructuralEngineeringandMechanics,2000;9(4):383—396
4 ZhuH P,IemuraH.A study on interaction control forseismic response of parallel structures.Com puters andStructures,2001;79(2):231—242
5 朱宏平等.地震作用下主-从结构的被动优化控制研究.应用力学学报,2000;17(2):63—69
6 XuY L,HeQ,KoJM.Dynamic response of dam per-connected adjacent buildings under earthquake excita-tion.EngineeringStructures,1999;21:135—148
7 PardalosP M,RosenJ B.Constraint global optimiza-tion:algorithm s and applications.Springer-Verlag,1987
2 KleinR E,CusanoC,StukelJ.Investigation of a m e-thod to stabilize wind induced oscillations in large struc-tures.Present at1972ASME WinterAnnualMeeting,1972,NewYork,PaperNo.72-WA/AU T-H
3 ZhuH P,IemuraH.A study of response control on thepassive coupling elem ent between two parallel struc-tures.InternationalJournal ofStructuralEngineeringandMechanics,2000;9(4):383—396
4 ZhuH P,IemuraH.A study on interaction control forseismic response of parallel structures.Com puters andStructures,2001;79(2):231—242
5 朱宏平等.地震作用下主-从结构的被动优化控制研究.应用力学学报,2000;17(2):63—69
6 XuY L,HeQ,KoJM.Dynamic response of dam per-connected adjacent buildings under earthquake excita-tion.EngineeringStructures,1999;21:135—148
7 PardalosP M,RosenJ B.Constraint global optimiza-tion:algorithm s and applications.Springer-Verlag,1987
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