基于阻尼柔性连接MTMD的动力特性
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摘要
基于导出的设置MTMD时结构和每个TMD的传递函数 ,建立了结构和每个TMD的动力放大系数 [DMF和DMFj(j=1 ,2 ,3,… ,n) ]设计公式。于是MTMD的优化准则定义为设置MTMD结构的最大动力放大系数最小值的最小化。根据优化准则 ,可得不同刚度比 (R)时MTMD的最优频率间隔、平均阻尼比和调谐频率比。基于R =1 0时MTMD最优参数和DMF λ关系曲线 ,研究了阻尼柔性连接MTMD(R =1 0 )的动力特性。同时 ,基于Max.DMFj,评价了MTMD(R =1 0 )和MTMD(R =0 0 )的冲程。数值研究表明 ,阻尼柔性连接MTMD(R =1 0 )与阻尼刚性连接MTMD(R =0 )近似达到相同的动力特性和冲程。
Based on the derived transfer functions of the structure with MTMD and every TMD in the MTMD,the design formulas are then derived for the dynamic magnification factors of the structure and every TMD[DMF and DMF j(j=1,2,3,...,n)].The criterion for the optimum searching is then the minimization of the minimum values of the maximum DMF(i.e.Min.Min.Max.DMF).In light of the criterion and different stiffness ratios,the optimum frequency spacing,average damping ratio,and tuning frequency ratio of MTMD may be obtained.Using the optimum parameters and the relationship of DMF with respect to λ,the dynamic characteristics are investigated for MTMD with the stiffness ratio to be 1 0.The stroke displacements between the MTMD(R=1 0)and the MTMD(R=0.0)are evaluated with the use of Max.DMF j.Numerical results show that the MTMD(R=1 0)and the MTMD(R=0)approximately attain the same dynamic characteristics and storke displacement.
Based on the derived transfer functions of the structure with MTMD and every TMD in the MTMD,the design formulas are then derived for the dynamic magnification factors of the structure and every TMD[DMF and DMF j(j=1,2,3,...,n)].The criterion for the optimum searching is then the minimization of the minimum values of the maximum DMF(i.e.Min.Min.Max.DMF).In light of the criterion and different stiffness ratios,the optimum frequency spacing,average damping ratio,and tuning frequency ratio of MTMD may be obtained.Using the optimum parameters and the relationship of DMF with respect to λ,the dynamic characteristics are investigated for MTMD with the stiffness ratio to be 1 0.The stroke displacements between the MTMD(R=1 0)and the MTMD(R=0.0)are evaluated with the use of Max.DMF j.Numerical results show that the MTMD(R=1 0)and the MTMD(R=0)approximately attain the same dynamic characteristics and storke displacement.
引文
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[5]LiChunxiang.OptimummultipletunedmassdampersforstructuresunderthegroundaccelerationbasedonDDMFandADMF .Earth quakeEngineeringandStructuralDynamics,2002,31(4):897919
[6]李春祥,刘艳霞,王肇民地震作用下结构的基于阻尼柔性连接MTMD控制应用力学学报(已录用)
[7]李春祥,熊学玉结构MTMD地震反应控制最优参数研究振动与冲击,1999;18(1):6366
[2]YamaguchiHandHarnpornchaiN .Fundamentalcharacteristicsofmultipletunedmassdampersforsuppressingharmonicallyforcedos cillators.EarthquakeEngineeringandStructuralDynamics1993;22:5162
[3]JangidRS .Dynamiccharacteristicsofstructureswithmultipletunedmassdampers.StructuralEngineeringandMechnics1995;3(5):497509
[4]LiChunxiang.Performanceofmultipletunedmassdampersforattenu atingundesirableoscillationsofstructuresunderthegroundaccelera tion.Earthquake2EngineeringandStructuralDynamics2000;29:14051421
[5]LiChunxiang.OptimummultipletunedmassdampersforstructuresunderthegroundaccelerationbasedonDDMFandADMF .Earth quakeEngineeringandStructuralDynamics,2002,31(4):897919
[6]李春祥,刘艳霞,王肇民地震作用下结构的基于阻尼柔性连接MTMD控制应用力学学报(已录用)
[7]李春祥,熊学玉结构MTMD地震反应控制最优参数研究振动与冲击,1999;18(1):6366
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