阻尼柔性连接TMD的最优动力特性
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摘要
本文研究了阻尼柔性连接TMD在控制结构地震反应时的最优动力特性。基于导出的设置阻尼柔性连接TMD结构位移传递函数 ,建立了结构的动力放大系数 (DMF)设计公式。于是TMD的优化准则可选为 :最大动力放大系数中最小值的最小化 (Min .Min .Max .DMF)。通过最优搜寻得不同刚度比R时TMD最优调谐频率比、最优阻尼比和相应的Min .Min .Max .DMF。为比较 ,阻尼刚性连接 (R =0 ) 的TMD也被考虑。数值结果表明 ,阻尼柔性连接TMD的刚性比R最好取为 0 .5。因此 ,目前的研究拓宽了TMD的应用范围
In the present paper,the optimum dynamic characteristics of TMD with flexible-jointed damping is studied for mitigation of the seismic response of structures.Based on the derived displacement transfer function of the structure with the TMD with flexible-jointed damping,the design formula for the dynamic magnification factor(DMF) of the structure is proposed.The optimum criterion of TMD is then the minimization of the minimum values of the maximum dynamic magnification factors(Min.Min.Max.DMF).In light of the criterion and considering the different stiffness ratio R,one obtains the TMD optimum tuning frequency ratios and damping ratios as well as the corresponding values of Min.Min.Max.DMF.For the purpose of comparison,TMD with rigid-jointed damping is also taken into account.The numerical results show that it is preferable to select the stiffness ratio R to be 0.5 for the TMD with flexible-jointed damping.
In the present paper,the optimum dynamic characteristics of TMD with flexible-jointed damping is studied for mitigation of the seismic response of structures.Based on the derived displacement transfer function of the structure with the TMD with flexible-jointed damping,the design formula for the dynamic magnification factor(DMF) of the structure is proposed.The optimum criterion of TMD is then the minimization of the minimum values of the maximum dynamic magnification factors(Min.Min.Max.DMF).In light of the criterion and considering the different stiffness ratio R,one obtains the TMD optimum tuning frequency ratios and damping ratios as well as the corresponding values of Min.Min.Max.DMF.For the purpose of comparison,TMD with rigid-jointed damping is also taken into account.The numerical results show that it is preferable to select the stiffness ratio R to be 0.5 for the TMD with flexible-jointed damping.
引文
1 SadekF ,MohrazB ,TaylorAW ,ChungRM .Amethodofestimat ingtheparametersoftunedmassdampersforseismicapplications.EarthquakeEngineeringandStructuralDynamics1997;26:617-635
2 李春祥,刘艳霞.地震作用下高层建筑TMD控制优化设计.同济大学学报,1999;27(3):287-291
3 李春祥.地震作用下高层建筑TMD控制研究与设计.上海交通大学学报,1999;33(6):746-749
4 李春祥.Theoptimumparametersanddesignoftunedmassdamperforbuildingframesunderthegroundacceleration.上海交通大学学报,2001(1);E -6:95-99,112
5 李春祥.Optimumsingle_andmultiple_tunedmassdampersforat tenuatingundesirableoscillationsofstructuresunderthegroundac celeration.上海交通大学博士后研究工作报告(英文),2000
6 HadiMNS ,ArfiadiY .OptimumdesignofabsorberforMDOFstructures.JournalofStructuralEngineeringASCE 1998;124(11):1272-1280
7 SchmitendorfWE .Designingtunedmassdampersviastaticoutputfeedback:anumericalapproach.EarthquakeEngineeringandStruc turalDynamics2000;29:127-137
2 李春祥,刘艳霞.地震作用下高层建筑TMD控制优化设计.同济大学学报,1999;27(3):287-291
3 李春祥.地震作用下高层建筑TMD控制研究与设计.上海交通大学学报,1999;33(6):746-749
4 李春祥.Theoptimumparametersanddesignoftunedmassdamperforbuildingframesunderthegroundacceleration.上海交通大学学报,2001(1);E -6:95-99,112
5 李春祥.Optimumsingle_andmultiple_tunedmassdampersforat tenuatingundesirableoscillationsofstructuresunderthegroundac celeration.上海交通大学博士后研究工作报告(英文),2000
6 HadiMNS ,ArfiadiY .OptimumdesignofabsorberforMDOFstructures.JournalofStructuralEngineeringASCE 1998;124(11):1272-1280
7 SchmitendorfWE .Designingtunedmassdampersviastaticoutputfeedback:anumericalapproach.EarthquakeEngineeringandStruc turalDynamics2000;29:127-137
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