基础激励下双层无穷橡胶调谐质量阻尼器性能和参数研究
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摘要
提出了一种研究基础激励下橡胶阻尼DMTMD(Dual-1ayer Multipe Tuned Mass Dampers)[1,2]参数和性能的新方法,即双层无穷调谐质量阻尼器(the Dual-layer lnfinite Multiple Tuned Mass Dampers,i.e.DIMTMD)方法。首先,通过求取DMTMD在并联TMD个数趋于无穷多时的极限得到DIMTMD传递函数。然后,针对基础激励下滞回阻尼结构的振动控制,对DIMTMD传递函数用H∞方法进行了优化,并与含有不等数目TMD的DMTMD进行了比较。结论显示,DIMTMD可以用于求解DMTMD包含的并联TMD个数较多时的极限(或最好)性能和参数,避免丁过去只能通过大量的数据观测来猜测的做法。而且,DIMTMD具有更快的迭代速度,采用DIMTMD寻找最优参数时间短,而且所得结果完全适用于并联TMD多于10个的DMTMD。
A new design method for a rubber dual-layer Infinite-Multiple TMD(DIMTMD) is proposed based on classical hysteretic DMTMD(Dual-layer Multiple Tuned Mass Damper) under ground excitation.Firstly,the transfer function of a DIMTMD is obtained by letting the number of TMDs in parallel of a DIMTMD approach infinite.Secondly,under ground acceleration excitation a hysteretically damped main structure equipped with DIMTMD as well as DIMTMD are investigated.Using DIMTMD,the best and critical performance of a DIMTMD composed of many TMDs in parallel can be obtained together with optimal design parameters only conjectured based on a lot of date observation in previous studies.It is especially important that the DIMTMD method has excellent iteration speed,and it can give correct optimal parameters numerically for DMTMD with more than 10 TMDs in its top layer.
A new design method for a rubber dual-layer Infinite-Multiple TMD(DIMTMD) is proposed based on classical hysteretic DMTMD(Dual-layer Multiple Tuned Mass Damper) under ground excitation.Firstly,the transfer function of a DIMTMD is obtained by letting the number of TMDs in parallel of a DIMTMD approach infinite.Secondly,under ground acceleration excitation a hysteretically damped main structure equipped with DIMTMD as well as DIMTMD are investigated.Using DIMTMD,the best and critical performance of a DIMTMD composed of many TMDs in parallel can be obtained together with optimal design parameters only conjectured based on a lot of date observation in previous studies.It is especially important that the DIMTMD method has excellent iteration speed,and it can give correct optimal parameters numerically for DMTMD with more than 10 TMDs in its top layer.
引文
[1]杜冬,结构新型调谐质量阻尼器控制的优化和鲁棒性研究[D]:[学位论文]。上海:上海交通大学,2004.
[2]李春祥,韩兵康,杜冬.结构双层多重调谐质量阻尼器(DMTMD)控制策略的鲁棒性评价[J].地震工程与工程振动,2004,24(5):97—104.
[3]李春祥,刘艳霞,工肇民.质量阻尼器的发展[J].力学进展,2003,33(2):194—206.
[4]Kareem A,Kline S.Performance Of multiple mass dampers un-der random loading[J].J.of Struct.Eng.-ASCE,1995,121(2):348—361.
[5]Asami T,Nishihara O.Closed-form exact solution toH∞opti-mization of dynamic vibration absorbers(application to differ-ent transfer functions and damping systems)[J].Joumal of Vi-bration and Acoustics,Transactions of the ASME,2003,125(3):398—405.
[6]Du Dong,Gu XiaoJun,Chu DeYing,Hua Hongxing Hua.Performance and Parametric Study of Infinite-Multiple TMDsfor Structures under Ground Acceleration by H_inf Opimization[J](in press)Journal of Sound and Vibration,doi:10.1016/j.jsv.2007,05.003.
[7]Carcaterra A,Akay A.Transient energy exchange between aprimary structure and a set of oscillators:Return time and ap-parent damping.[J]J.Acoust Soc.Am,2004,115(2):683—696.
[2]李春祥,韩兵康,杜冬.结构双层多重调谐质量阻尼器(DMTMD)控制策略的鲁棒性评价[J].地震工程与工程振动,2004,24(5):97—104.
[3]李春祥,刘艳霞,工肇民.质量阻尼器的发展[J].力学进展,2003,33(2):194—206.
[4]Kareem A,Kline S.Performance Of multiple mass dampers un-der random loading[J].J.of Struct.Eng.-ASCE,1995,121(2):348—361.
[5]Asami T,Nishihara O.Closed-form exact solution toH∞opti-mization of dynamic vibration absorbers(application to differ-ent transfer functions and damping systems)[J].Joumal of Vi-bration and Acoustics,Transactions of the ASME,2003,125(3):398—405.
[6]Du Dong,Gu XiaoJun,Chu DeYing,Hua Hongxing Hua.Performance and Parametric Study of Infinite-Multiple TMDsfor Structures under Ground Acceleration by H_inf Opimization[J](in press)Journal of Sound and Vibration,doi:10.1016/j.jsv.2007,05.003.
[7]Carcaterra A,Akay A.Transient energy exchange between aprimary structure and a set of oscillators:Return time and ap-parent damping.[J]J.Acoust Soc.Am,2004,115(2):683—696.
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