磁流变式调谐液柱阻尼器对桥梁风致扭转振动的控制效果
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摘要
采用Lagrange方程建立了磁流变式调谐液柱阻尼器(MR-TLCD)与桥梁单自由度扭转耦合结构的动力学模型,依据试验数据把磁流变液阻尼器简化成Bingham模型并采用等效线性化处理。在简谐荷载激励情况下,在时域和频域内优化了随输入电流值变化的4种截面MR-TLCD的参数;在随机风荷载激励情况下,进一步评估了优化后的MR-TLCD对桥梁风致扭转振动的控制效果。结果表明:这4种MR-TLCD都存在相应的最小平均动力放大系数比,且截面面积越大对应的最优电流值越大,平均动力放大系数比越小;扭转角位移峰值减小了43.9%,扭转加速度减小了41.1%。
Lagrange equation was adopted to establish the coupled structure dynamic model of magnetorheological tuned liquid column damper (MR-TLCD) and bridge single degree-of-freedom torsion. The MR damper was simplified to the Bingham model based on experimental data,and its nonlinear item was approximated by the equivalent linearization. The cases of parameters for four different cross-sections of MR-TLCD with change of current input were optimized in time domain and frequency domain excited by harmonic load. The wind-induced torsional vibration control effect of bridge with MR-TLCD was further evaluated by random wind-induced load. The result demonstrates that there is the least mean dynamic magnification factors ratio (MDMFR) for each section,moreover,the greater cross-section is,the higher current value is and the less MDMFR is. The peak value of torsional angular displacement and torsional acceleration were reduced by 43.9% and 41.1% respectively.
Lagrange equation was adopted to establish the coupled structure dynamic model of magnetorheological tuned liquid column damper (MR-TLCD) and bridge single degree-of-freedom torsion. The MR damper was simplified to the Bingham model based on experimental data,and its nonlinear item was approximated by the equivalent linearization. The cases of parameters for four different cross-sections of MR-TLCD with change of current input were optimized in time domain and frequency domain excited by harmonic load. The wind-induced torsional vibration control effect of bridge with MR-TLCD was further evaluated by random wind-induced load. The result demonstrates that there is the least mean dynamic magnification factors ratio (MDMFR) for each section,moreover,the greater cross-section is,the higher current value is and the less MDMFR is. The peak value of torsional angular displacement and torsional acceleration were reduced by 43.9% and 41.1% respectively.
引文
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[12]SHUM K M.Lateral and Torsional Vibration Control of Long Span Bridge Deck Using Novel Tuned LiquidColumn Dampers[D].Hong Kong:The Hong Kong Polytechnic University,2004.
[13]FORTNER B.Buildings:Water Tanks Damp Motion in Vancouver High-rise[J].Civil Engineering,2001,71(6):18.
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[15]邰扣霞,丁大钧.中国桥梁建设新飞跃[J].建筑科学与工程学报,2006,23(2):30-40.TAI Kou-xia,DING Da-jun.New Leaps in Construc-tion of Bridges in China[J].Journal of Architecture and Civil Engineering,2006,23(2):30-40.
[16]陈政清.斜拉索风雨振现场观测与振动控制[J].建筑科学与工程学报,2005,22(4):5-10.CHEN Zheng-qing.On-site Observation of Wind-rain Induced Vibration of Stay Cables and Its Control[J].Journal of Architecture and Civil Engineering,2005,22(4):5-10.
[17]瞿伟廉.MR阻尼器对高耸结构风致反应的智能控制[J].建筑科学与工程学报,2006,23(1):10-16.QU Wei-lian.MR Damper Intelligent Control on High Construction Wind-induced Vibration Response[J].Journal of Architecture and Civil Engineering,2006,23(1):10-16.
[18]杨润林,刘锡荟,周锡元.调谐液柱阻尼系统的半主动模糊控制[J].土木工程学报,2003,36(6):36-41.YANG Run-lin,LI U Xi-hui,ZHOU Xi-yuan.A New Control Strategy for Tuned Liquid Column Dampers[J].China Civil Engineering Journal,2003,36(6):36-41.
[2]薛素铎,高赞明,徐幼麟.抑制桥板扭转振动的调频液体阻尼器[J].振动工程学报,2000,13(4):596-603.XUE Su-duo,GAO Zan-ming,XU You-lin.Model of Tuned Liquid Column Damper for Suppressing Tor-sional Vibration of Bridge Decks[J].Jouranl of Vibra-tion Engineering,2000,13(4):596-603.
[3]YING Z G,NI Y Q,KO J M.Semi-active Opti mal Control of Linearized Systems with Multi-degree of Freedom and Application[J].Journal of Sound and Vibration,2005,279(1/2):373-388.
[4]楼梦麟,雍国柱,李建元.阻尼特性对组合结构地震反应的影响[J].建筑科学与工程学报,2007,24(2):24-29.LOU Meng-lin,YONG Guo-zhu,LI Jian-yuan.Influ-ence of Damping Characteristics on Seismic Responses of Composite Structures[J].Journal of Architecture and Civil Engineering,2007,24(2):24-29.
[5]王修勇,孙洪鑫,陈政清.磁流变式调谐液柱阻尼器对地震作用的控制研究[J].振动与冲击,2008,27(5):19-23.WANG Xiu-yong,SUN Hong-xin,CHEN Zheng-qing.Magnetorheological Tuned Liquid Column Damper(MR-TLCD)for Seismic Control[J].Journal of Vibration and Shock,2008,27(5):19-23.
[6]孙洪鑫,陈政清,王修勇.磁流变式调谐液柱阻尼器对结构风致抖振控制研究[J].振动工程学报,2008,21(3):255-260.SUN Hong-xin,CHEN Zheng-qing,WANG Xiu-yong.Magnetorheological Tuned Liquid Column Damper(MR-TLCD)for Wind-induced Buffeting Control of Structures[J].Journal of Vibration Engin-eering,2008,21(3):255-260.
[7]BALENDRA T,WANG C M,CHEONG HF.Effect-iveness of Tuned Liquid Column Damper for Vibra-tion Control of Towers[J].Engineering Structure,1995,17(9):668-675.
[8]GAO H,KWOK K S C.SAMALI B.Characteristics of Multiple Tuned Liquid Column Dampers in Sup-pressing Structural Vibration[J].Engineering Struc-ture,1999,21(4):316-331.
[9]CHANG C C,HSU C T.Control Performance of Li-quid Column Vibration Absorbers[J].Engineering Structure,1998,20(7):580-586.
[10]YALLA S K,KAREEM A.Semiactive Tuned Liquid Column Dampers:Experi mental Study[J].Journal of Structural Engineering,2003,129(7):960-971.
[11]阎石,李宏男,林皋.可调频调液柱型阻尼器振动控制参数研究[J].地震工程与工程振动,1998,18(4):96-102.YAN Shi,LI Hong-nan,LIN Gao.Vibration Control Parameters Research on System with Adjusted Fre-quency and Tuned Liquid Column Damper[J].Earth-quake Engineering and Engineering Vibration,1998,18(4):96-102.
[12]SHUM K M.Lateral and Torsional Vibration Control of Long Span Bridge Deck Using Novel Tuned LiquidColumn Dampers[D].Hong Kong:The Hong Kong Polytechnic University,2004.
[13]FORTNER B.Buildings:Water Tanks Damp Motion in Vancouver High-rise[J].Civil Engineering,2001,71(6):18.
[14]谭平,周福霖.结构主动变刚度.阻尼控制系统及其优化设计[J].建筑科学与工程学报,2007,24(2):6-12.TAN Ping,ZHOU Fu-lin.Structural Active Variable Stiffness Damping Control System and Its Opti mal Design[J].Journal of Architecture and Civil Engin-eering,2007,24(2):6-12.
[15]邰扣霞,丁大钧.中国桥梁建设新飞跃[J].建筑科学与工程学报,2006,23(2):30-40.TAI Kou-xia,DING Da-jun.New Leaps in Construc-tion of Bridges in China[J].Journal of Architecture and Civil Engineering,2006,23(2):30-40.
[16]陈政清.斜拉索风雨振现场观测与振动控制[J].建筑科学与工程学报,2005,22(4):5-10.CHEN Zheng-qing.On-site Observation of Wind-rain Induced Vibration of Stay Cables and Its Control[J].Journal of Architecture and Civil Engineering,2005,22(4):5-10.
[17]瞿伟廉.MR阻尼器对高耸结构风致反应的智能控制[J].建筑科学与工程学报,2006,23(1):10-16.QU Wei-lian.MR Damper Intelligent Control on High Construction Wind-induced Vibration Response[J].Journal of Architecture and Civil Engineering,2006,23(1):10-16.
[18]杨润林,刘锡荟,周锡元.调谐液柱阻尼系统的半主动模糊控制[J].土木工程学报,2003,36(6):36-41.YANG Run-lin,LI U Xi-hui,ZHOU Xi-yuan.A New Control Strategy for Tuned Liquid Column Dampers[J].China Civil Engineering Journal,2003,36(6):36-41.
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