大跨网格屋盖结构竖向MTMD减震控制的参数分析
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摘要
采用两组MTMD(多频调谐质量阻尼器)系统控制某大跨网格屋盖结构的竖向地震作用。提出了网格屋盖结构竖向MTMD的振动控制方程,并建立有限元分析模型,输入四种不同场地的地震波,进行动力时程分析,研究了频宽、阻尼比和质量比等参数对于MTMD系统减震效果的影响规律,表明频宽、阻尼比、质量比都存在最优值,最优频宽0.2―0.3,最优阻尼比0.01―0.02,考虑工程实际,质量比宜取0.005左右,这些最优值基本不受地震波频谱特性的的影响。
Two groups of multiple tuned mass dampers(MTMD) are used in a long-span lattice roof structure to reduce the vertical seismic reaction.The dynamic equation of lattice roof structure with vertical MTMD is presented,and the finite element model is established to perform dynamic time-history analysis using four ensembles of strong ground motion records.The paper also studies the correlation of vibration-dissipation of roof structure and frequency width,damping ratio,and mass ratio.Numerical results indicate the existing of optimum values of these parameters.The optimum frequency width is 0.2―0.3,the optimum damping ratio is 0.01―0.02 and the optimum mass ratio is about 0.005 considering the engineering practice.The spectrum characteristics of earthquake waves have little effect on these optimum values.
Two groups of multiple tuned mass dampers(MTMD) are used in a long-span lattice roof structure to reduce the vertical seismic reaction.The dynamic equation of lattice roof structure with vertical MTMD is presented,and the finite element model is established to perform dynamic time-history analysis using four ensembles of strong ground motion records.The paper also studies the correlation of vibration-dissipation of roof structure and frequency width,damping ratio,and mass ratio.Numerical results indicate the existing of optimum values of these parameters.The optimum frequency width is 0.2―0.3,the optimum damping ratio is 0.01―0.02 and the optimum mass ratio is about 0.005 considering the engineering practice.The spectrum characteristics of earthquake waves have little effect on these optimum values.
引文
[1]唐柏鉴,李亚明.大跨屋盖结构的竖向MTMD减震控制[J].特种结构,2007,24(1):64―67.Tang Baijian,Li Yaming.Seismic control with vertical MTMD in large span roof structure[J].Special Structures,2007,24(1):64―67.(in Chinese)
[2]Guo Y Q,Chen W Q.Dynamic analysis of space structures with multiple tuned mass dampers[J].Engineering Structures,2007,29:3390―3403.
[3]李黎,黄尚斌,张卉.结构振动控制中MTMD的基本特性研究[J].工程力学,2000,17(2):90―96.Li Li,Huang Shangbin,Zhang Hui.Fundamental characteristics study of multiple tuned mass damper in control of structural vibration[J].Engineering Mechanics,2000,17(2):90―96.(in Chinese)
[4]蔡国平,孙峰,黄金枝,王超.MTMD控制结构地震反应特性研究[J].工程力学,2000,17(3):55―59.Cai Guoping,Sun Feng,Huang Jinzhi,Wang Chao.Characteristic analysis of MTMD for seismically excited structures[J].Engineering Mechanics,2000,17(3):55―59.(in Chinese)
[5]刘保东,朱睎.MTMD系统抗震控制研究[J].工程力学,2003,20(1):127―130.Liu Baodong,Zhu Xi.Seismic control of structure withmultiple tuned mass damper system[J].Engineering Mechanics,2003,20(1):127―130.(in Chinese)
[6]胡继军,黄金枝,李春祥,董石麟.网壳-TMD风振控制分析[J].建筑结构学报,2001,22(3):31―35.Hu Jijun,Huang Jinzhi,Li Chunxiang,Dong Shilin.TMD control analysis of reticulated shells for wind vibration[J].Journal of Building Structures,2001,22(3):31―35.(in Chinese)
[7]叶继红,陈月明,沈世钊.网壳结构TMD减震系统的优化设计[J].振动工程学报,2000,13(3):376―384.Ye Jihong,Chen Yueming,Shen Shizhao.Optimum design for reticulated shell structure-TMD system subjected to seismic excitations[J].Journal of Vibration Engineering,2000,13(3):376―384.(in Chinese)
[8]Xue Songtao,Qin Ling,Yamada Motohiko.Experimental research on vertical TMD system to control vertical vibration of large space structure[C]//Proceeding of Seventh International Symposium on Structural Engineering for Young Exports,Tianjin,China,Science Press,2002.
[9]Yamada Motohiko,Guo Lu,Vibration control of large space structure using TMD system[C]//Proceeding of International IASS Conference,Beijing,China,1996.
[10]Rahul Rana,Soong T T.Parametric study and simplified design of tuned mass dampers[J].Enineering Structures,1998,20(3):193―204.
[11]Li Chunxiang,Liu Yanxia.Further characteristics for multiple tuned mass dampers[J].Journal of Structural Engineering,ASCE,2002,128(10):1362―1365.
[2]Guo Y Q,Chen W Q.Dynamic analysis of space structures with multiple tuned mass dampers[J].Engineering Structures,2007,29:3390―3403.
[3]李黎,黄尚斌,张卉.结构振动控制中MTMD的基本特性研究[J].工程力学,2000,17(2):90―96.Li Li,Huang Shangbin,Zhang Hui.Fundamental characteristics study of multiple tuned mass damper in control of structural vibration[J].Engineering Mechanics,2000,17(2):90―96.(in Chinese)
[4]蔡国平,孙峰,黄金枝,王超.MTMD控制结构地震反应特性研究[J].工程力学,2000,17(3):55―59.Cai Guoping,Sun Feng,Huang Jinzhi,Wang Chao.Characteristic analysis of MTMD for seismically excited structures[J].Engineering Mechanics,2000,17(3):55―59.(in Chinese)
[5]刘保东,朱睎.MTMD系统抗震控制研究[J].工程力学,2003,20(1):127―130.Liu Baodong,Zhu Xi.Seismic control of structure withmultiple tuned mass damper system[J].Engineering Mechanics,2003,20(1):127―130.(in Chinese)
[6]胡继军,黄金枝,李春祥,董石麟.网壳-TMD风振控制分析[J].建筑结构学报,2001,22(3):31―35.Hu Jijun,Huang Jinzhi,Li Chunxiang,Dong Shilin.TMD control analysis of reticulated shells for wind vibration[J].Journal of Building Structures,2001,22(3):31―35.(in Chinese)
[7]叶继红,陈月明,沈世钊.网壳结构TMD减震系统的优化设计[J].振动工程学报,2000,13(3):376―384.Ye Jihong,Chen Yueming,Shen Shizhao.Optimum design for reticulated shell structure-TMD system subjected to seismic excitations[J].Journal of Vibration Engineering,2000,13(3):376―384.(in Chinese)
[8]Xue Songtao,Qin Ling,Yamada Motohiko.Experimental research on vertical TMD system to control vertical vibration of large space structure[C]//Proceeding of Seventh International Symposium on Structural Engineering for Young Exports,Tianjin,China,Science Press,2002.
[9]Yamada Motohiko,Guo Lu,Vibration control of large space structure using TMD system[C]//Proceeding of International IASS Conference,Beijing,China,1996.
[10]Rahul Rana,Soong T T.Parametric study and simplified design of tuned mass dampers[J].Enineering Structures,1998,20(3):193―204.
[11]Li Chunxiang,Liu Yanxia.Further characteristics for multiple tuned mass dampers[J].Journal of Structural Engineering,ASCE,2002,128(10):1362―1365.
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