斜拉索-阻尼器系统建模与减振控制研究
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摘要
在斜拉索-阻尼器减振控制系统数学建模基础上,以某斜拉索桥主桥C20号索为研究对象,基于Halmiton原理建立了斜拉索-磁流变阻尼器减振控制系统的状态空间方程,采用Rayleigh阻尼理论对状态空间方程进行矩阵参数分析计算。运用随机系统控制理论和减振控制器设计,引入了表征斜拉索振幅约束的状态方差性能指标,建立了系统的减振控制算法。数值仿真结果表明,给出的减振控制算法能保证斜拉索在外界激励下的稳定性,系统振幅得到了有效抑制,减振控制效果良好。
State space model of stayed cable-magnetorheological damper vibration reduction control system was constructed based on Halmiton principle.Taking the main bridge C20 stayed-cable in Ningbo as the research object,the matrix parameters of the state space equations was analyzed and calculated by using the Rayleigh theory.Thus,based on the state space equation and stochastic control system theory,the vibration reduction control algorithm with state variance performance constrain for stayed cablemagnetorheological damper system was analyzed in detail.Simulation results showed that the given vibration reduction control algorithm could guarantee the stability of stayed cable-magnetorheological damper system and receive effective constraint of the system vibration amplitude.The vibration reduction control effect was good.
State space model of stayed cable-magnetorheological damper vibration reduction control system was constructed based on Halmiton principle.Taking the main bridge C20 stayed-cable in Ningbo as the research object,the matrix parameters of the state space equations was analyzed and calculated by using the Rayleigh theory.Thus,based on the state space equation and stochastic control system theory,the vibration reduction control algorithm with state variance performance constrain for stayed cablemagnetorheological damper system was analyzed in detail.Simulation results showed that the given vibration reduction control algorithm could guarantee the stability of stayed cable-magnetorheological damper system and receive effective constraint of the system vibration amplitude.The vibration reduction control effect was good.
引文
1 王丽,赵琳.基于MR阻尼器的结构振动半主动跟踪控制[J].河南科技大学学报,2005,26(3):35~38.Wang Li,Zhao Lin.Structural vibration semi-active tracking control based on the MR damper[J].Journal of Henan University of Science and Technology,2005,26(3):35~38.(in Chinese)
2 冯志敏,伍广彬,张刚.磁流变阻尼器设计与性能试验[J].农业机械学报,2012,43(12):33~38.Feng Zhimin,Wu Guangbin,Zhang Gang.Mechanical performance test of magnetorheological damper[J].Transactions of the Chinese Society for Agricultural Machinery,2012,43(12):33~38.(in Chinese)
3 董学武.超大跨径斜拉桥斜拉索振动特性及减振措施研究[D].上海:同济大学,2007.Dong Xuewu.Cablevibration characteristics and vibration reduction measures research of large span stay-cables bridge[D].Shanghai:Tongji University,2007.(in Chinese)
4 李惠,刘敏,欧进萍,等.斜拉索磁流变智能阻尼控制系统分析与设计[J].中国公路学报,2005,18(4):37~41.Li Hui,Liu Min,Ou Jinping,et al.Design and analysis of magnetorheological dampers with intelligent control systems for stay cables[J].China Journal of Highway and Transport,2005,18(4):37~41.(in Chinese)
5 陈勇,孙炳楠,楼文娟,等.基于时间离散模型的斜拉索半主动振动控制[J].浙江大学学报:工学版,2003,37(3):331~336.Chen Yong,Sun Bingnan,Lou Wenjuan,et al.Semi-active control of cable vibration based on time discrete system[J].Journal of Zhejiang University:Engineering Science,2003,37(3):331~336.(in Chinese)
6 Ko J M,Zheng G,Ni Y Q.Nonlinear periodically forced vibration of stay cables[C]∥Proceedings of the International Conference on Advanced Problems in Vibration Theory and Application,Beijing:Science Press,1999:437~443.
7 Irvine H M,Gaughey T K.The linear theory of free vibrations of a suspended cable[J].Proceedings of the Royal Society London A,1974,341(1626):299~315.
8 Johnson E A,Spencer B F Jr,Fujino Y.Semiactive damping of a stay cables:a preliminary study[C]∥Proceedings of the 17th International Model Analysis Conference(IMAC XVII),Society for Experimental Mechanics,Bethel,Connecticut,1999:417~423.
9 周海兵,刘伟长.基于延拓方法的悬索非线性振动分析[J].动力学与控制学报,2008,6(1):73~77.Zhou Haibing,Liu Weichang.Nonlinear oscillations of suspended cables using the continuation method[J].Journal of Dynamics and Control,2008,6(1):73~77.(in Chinese)
10 康厚军,赵跃宇,王连华.斜拉桥中拉索对桥面动力特性的影响[J].动力学与控制学报,2007,5(1):44~49.Kang Houjun,Zhao Yueyu,Wang Lianhua.Theoretical considerations for effects of cables on deck of cable-stayed bridges[J].Journal of Dynamics and Control,2007,5(1):44~49.(in Chinese)
11 赵跃宇,王涛,康厚军.斜拉索主参数共振的稳定性分析[J].动力学与控制学报,2008,6(2):112~117.Zhao Yueyu,Wang Tao,Kang Houjun.Stability analysis of main cable parameter resonance[J].Journal of Dynamics and Control,2008,6(2):112~117.(in Chinese)
12 邬喆华,陈勇.磁流变阻尼器对斜拉索的振动控制[M].北京:科学出版社,2007.
13 范立础.桥梁抗震[M].上海:同济大学出版社,2001.
14 布占宇,谢旭.不同阻尼计算模式对斜拉桥地震响应分析的影响[J].中国铁道科学,2006,27(2):46~51.Bu Zhanyu,Xie Xu.The effect of different damping calculation model on seismic response analysis of the cable-stayed bridge[J].China Railway Science,2006,27(2):46~51.(in Chinese)
15 邬喆华,楼文娟,陈勇,等.磁流变阻尼器对斜拉索半主动控制的最优参数[J].振动、测试与诊断,2006,6(1):41~45.Wu Zhehua,Lou Wenjuan,Chen Yong,et al.The optimal parameters of magnetorheological damper in cable semi-active control[J].Vibration,Test and Diagnosis,2006,6(1):41~45.(in Chinese)
16 黄琳.系统与控制理论中的线性代数[M].北京:科学出版社,1984.
2 冯志敏,伍广彬,张刚.磁流变阻尼器设计与性能试验[J].农业机械学报,2012,43(12):33~38.Feng Zhimin,Wu Guangbin,Zhang Gang.Mechanical performance test of magnetorheological damper[J].Transactions of the Chinese Society for Agricultural Machinery,2012,43(12):33~38.(in Chinese)
3 董学武.超大跨径斜拉桥斜拉索振动特性及减振措施研究[D].上海:同济大学,2007.Dong Xuewu.Cablevibration characteristics and vibration reduction measures research of large span stay-cables bridge[D].Shanghai:Tongji University,2007.(in Chinese)
4 李惠,刘敏,欧进萍,等.斜拉索磁流变智能阻尼控制系统分析与设计[J].中国公路学报,2005,18(4):37~41.Li Hui,Liu Min,Ou Jinping,et al.Design and analysis of magnetorheological dampers with intelligent control systems for stay cables[J].China Journal of Highway and Transport,2005,18(4):37~41.(in Chinese)
5 陈勇,孙炳楠,楼文娟,等.基于时间离散模型的斜拉索半主动振动控制[J].浙江大学学报:工学版,2003,37(3):331~336.Chen Yong,Sun Bingnan,Lou Wenjuan,et al.Semi-active control of cable vibration based on time discrete system[J].Journal of Zhejiang University:Engineering Science,2003,37(3):331~336.(in Chinese)
6 Ko J M,Zheng G,Ni Y Q.Nonlinear periodically forced vibration of stay cables[C]∥Proceedings of the International Conference on Advanced Problems in Vibration Theory and Application,Beijing:Science Press,1999:437~443.
7 Irvine H M,Gaughey T K.The linear theory of free vibrations of a suspended cable[J].Proceedings of the Royal Society London A,1974,341(1626):299~315.
8 Johnson E A,Spencer B F Jr,Fujino Y.Semiactive damping of a stay cables:a preliminary study[C]∥Proceedings of the 17th International Model Analysis Conference(IMAC XVII),Society for Experimental Mechanics,Bethel,Connecticut,1999:417~423.
9 周海兵,刘伟长.基于延拓方法的悬索非线性振动分析[J].动力学与控制学报,2008,6(1):73~77.Zhou Haibing,Liu Weichang.Nonlinear oscillations of suspended cables using the continuation method[J].Journal of Dynamics and Control,2008,6(1):73~77.(in Chinese)
10 康厚军,赵跃宇,王连华.斜拉桥中拉索对桥面动力特性的影响[J].动力学与控制学报,2007,5(1):44~49.Kang Houjun,Zhao Yueyu,Wang Lianhua.Theoretical considerations for effects of cables on deck of cable-stayed bridges[J].Journal of Dynamics and Control,2007,5(1):44~49.(in Chinese)
11 赵跃宇,王涛,康厚军.斜拉索主参数共振的稳定性分析[J].动力学与控制学报,2008,6(2):112~117.Zhao Yueyu,Wang Tao,Kang Houjun.Stability analysis of main cable parameter resonance[J].Journal of Dynamics and Control,2008,6(2):112~117.(in Chinese)
12 邬喆华,陈勇.磁流变阻尼器对斜拉索的振动控制[M].北京:科学出版社,2007.
13 范立础.桥梁抗震[M].上海:同济大学出版社,2001.
14 布占宇,谢旭.不同阻尼计算模式对斜拉桥地震响应分析的影响[J].中国铁道科学,2006,27(2):46~51.Bu Zhanyu,Xie Xu.The effect of different damping calculation model on seismic response analysis of the cable-stayed bridge[J].China Railway Science,2006,27(2):46~51.(in Chinese)
15 邬喆华,楼文娟,陈勇,等.磁流变阻尼器对斜拉索半主动控制的最优参数[J].振动、测试与诊断,2006,6(1):41~45.Wu Zhehua,Lou Wenjuan,Chen Yong,et al.The optimal parameters of magnetorheological damper in cable semi-active control[J].Vibration,Test and Diagnosis,2006,6(1):41~45.(in Chinese)
16 黄琳.系统与控制理论中的线性代数[M].北京:科学出版社,1984.
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