漂浮型斜拉桥主梁列车制动响应的鲁棒控制
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摘要
在建立漂浮型铁路斜拉桥主梁纵向列车制动响应模态受控方程的基础上,同时考虑到大型桥梁结构参数的不确定性会直接影响到主动控制效果的稳定,推导出当桥梁结构模型频率发生变化时桥梁结构的鲁棒控制方程,并以天兴洲公路铁路两用斜拉桥为工程背景,对其主梁纵向列车制动响应的鲁棒控制进行了仿真分析,结果表明:对于具有不确定参数的桥梁结构,采用鲁棒控制方式抑制主梁纵向列车制动振动响应的效果明显优于主动控制方式.
Robust control of the longitudinal vibration response to train brake in the deck of floating-type railway cable-stayed bridge was investigated.Active control effects due to the uncertainties of parameters in long span bridge structures were consisted.From the established motion equations of modal controlled bridge,the robust controlled equations were derived based on frequency uncertainties.Taken Tianxingzhou Yangtze River Combined Highway and Railway Cable-Stayed Bridge as an example,the robust control of the longitudinal vibration responses of the deck was simulated.Simulating results show that the active robust control is more effective and efficient than the active control by the active algorithm for the bridge with parameter uncertainties.
Robust control of the longitudinal vibration response to train brake in the deck of floating-type railway cable-stayed bridge was investigated.Active control effects due to the uncertainties of parameters in long span bridge structures were consisted.From the established motion equations of modal controlled bridge,the robust controlled equations were derived based on frequency uncertainties.Taken Tianxingzhou Yangtze River Combined Highway and Railway Cable-Stayed Bridge as an example,the robust control of the longitudinal vibration responses of the deck was simulated.Simulating results show that the active robust control is more effective and efficient than the active control by the active algorithm for the bridge with parameter uncertainties.
引文
[1]刘嘉.漂浮型铁路桥主梁纵向地震、列车制动及行车效应的控制研究[D].武汉:武汉理工大学土木工程与建筑学院,2007.
[2]Qu W L,Liu J,Qin S Q,et al.Intelligent hybridcontrol for braking-induced longitudinal vibration re-sponse of floating-type railway cable-stayed bridge[C]∥The World Forum on Smart Materials andSmart Structures Technology.Balkema:Taylor&Francis,2008:499.
[3]Soneji B B,Jangid R S.Passive hybrid systems forearthquake protection of cable-stayed bridge[J].En-gineering Structure,2006,29(21):57-70.
[4]秦顺全,瞿伟廉.天兴洲公铁两用斜拉桥主梁纵向地震、列车制动及行车移动荷载响应的混合控制[J].桥梁建设,2008(4):1-4.
[5]Jabbari F,Schmitendorf W E,Yang J N.H∞controlfor seismic-excited buildings with acceleration feed-back[J].Journal of Engineering Mechanics,1995,121(9):994-1 002.
[6]Yoshida K.LQG control andH∞control of vibrationisolation for multi-degree-freedom system[C]∥ProcFirst World Conf Struct Control.Los Angeles:JohnWiley&Sons,1994:43-52.
[7]Yoshida K.Robust control of structure vibrations u-sing active dynamic vibration absorber systems[C]∥Proc First World Conf Struct Control.Los Angeles:John Wiley&Sons,1994:53-62.
[8]Suhardjo J,Spencer B F,Sain M K.Feedback-feed-forward control of structures under seismic excitation[J].Structure Safety,1990,(8):69-89.
[9]Stavroulakis G E,Marinova D G.Robust active con-trol against wind-induced structural vibrations[J].Journal of Wind Engineering and Industrial Aerody-namics,2006,94(24):895-907.
[10]张微敬,欧进萍.基于状态反馈的结构鲁棒控制[J].世界地震工程,2002,18(3):37-41.
[11]Xu Y L,Qu W L,Chen B.Active/robust momentcontrollers for seismic response control of a largespan building on top of ship lift towers[J].Journalof Sound and Vibration,2003,261(2):277-296.
[12]Xie L,Fu M,Souza C E.H∞control and quadraticstabilization of systems with parameter uncertaintyvia output feedback[J].IEEE Trans on AutomaticControl,1992,37(8):1 253-1 256.
[13]Khargonekar P P,Petersen I R,Zhou K.Robuststabilization of uncertain linear systems:quadraticstabilizability andH∞control theory[J].IEEETrans on Automatic Control,1990,35(3):356-361.
[2]Qu W L,Liu J,Qin S Q,et al.Intelligent hybridcontrol for braking-induced longitudinal vibration re-sponse of floating-type railway cable-stayed bridge[C]∥The World Forum on Smart Materials andSmart Structures Technology.Balkema:Taylor&Francis,2008:499.
[3]Soneji B B,Jangid R S.Passive hybrid systems forearthquake protection of cable-stayed bridge[J].En-gineering Structure,2006,29(21):57-70.
[4]秦顺全,瞿伟廉.天兴洲公铁两用斜拉桥主梁纵向地震、列车制动及行车移动荷载响应的混合控制[J].桥梁建设,2008(4):1-4.
[5]Jabbari F,Schmitendorf W E,Yang J N.H∞controlfor seismic-excited buildings with acceleration feed-back[J].Journal of Engineering Mechanics,1995,121(9):994-1 002.
[6]Yoshida K.LQG control andH∞control of vibrationisolation for multi-degree-freedom system[C]∥ProcFirst World Conf Struct Control.Los Angeles:JohnWiley&Sons,1994:43-52.
[7]Yoshida K.Robust control of structure vibrations u-sing active dynamic vibration absorber systems[C]∥Proc First World Conf Struct Control.Los Angeles:John Wiley&Sons,1994:53-62.
[8]Suhardjo J,Spencer B F,Sain M K.Feedback-feed-forward control of structures under seismic excitation[J].Structure Safety,1990,(8):69-89.
[9]Stavroulakis G E,Marinova D G.Robust active con-trol against wind-induced structural vibrations[J].Journal of Wind Engineering and Industrial Aerody-namics,2006,94(24):895-907.
[10]张微敬,欧进萍.基于状态反馈的结构鲁棒控制[J].世界地震工程,2002,18(3):37-41.
[11]Xu Y L,Qu W L,Chen B.Active/robust momentcontrollers for seismic response control of a largespan building on top of ship lift towers[J].Journalof Sound and Vibration,2003,261(2):277-296.
[12]Xie L,Fu M,Souza C E.H∞control and quadraticstabilization of systems with parameter uncertaintyvia output feedback[J].IEEE Trans on AutomaticControl,1992,37(8):1 253-1 256.
[13]Khargonekar P P,Petersen I R,Zhou K.Robuststabilization of uncertain linear systems:quadraticstabilizability andH∞control theory[J].IEEETrans on Automatic Control,1990,35(3):356-361.
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