地震作用下大跨度连续梁桥半主动变阻尼控制研究
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摘要
利用半主动变阻尼控制装置开展连续梁桥结构在纵向地震波作用下的振动控制研究,通过建立桥梁结构-半主动变阻尼系统力学模型和运动微分方程,进行不同地震波激励下,连续梁桥关键部位在无控?半主动变阻尼控制和主动控制下的响应值分析计算,其中最优控制力采用LQR算法确定,半主动变阻尼控制采用限界Hrovat最优控制算法。计算结果表明:半主动变阻尼控制与主动控制的控制效果接近,两者均起到了良好的减震作用,而其中半主动变阻尼控制所需能量少?设施经济可靠,是一种良好的结构减震控制方法。
In this paper,by use of the semi-active control with variable dampers,the study on longitudinal vibration of continuous bridge under earthquakes is presented.According to the mechanical model for the bridge and the semi-active control with variable dampers system and the differential equation of motion,the critical positions dynamical response of the bridge without control,semi-active control and active control are all studied.The LQR algorithm is adopted to calculate the optimizing controlling force.The algorithm of limiting Hrovat optimal control is adopted for the semi-active control.The calculated results show that the effect of semi-active control with variable dampes is approached to that of the active control.The semi-active control needs less energy and its device is also economical and reliable.It is a good vibration reduction control method.
In this paper,by use of the semi-active control with variable dampers,the study on longitudinal vibration of continuous bridge under earthquakes is presented.According to the mechanical model for the bridge and the semi-active control with variable dampers system and the differential equation of motion,the critical positions dynamical response of the bridge without control,semi-active control and active control are all studied.The LQR algorithm is adopted to calculate the optimizing controlling force.The algorithm of limiting Hrovat optimal control is adopted for the semi-active control.The calculated results show that the effect of semi-active control with variable dampes is approached to that of the active control.The semi-active control needs less energy and its device is also economical and reliable.It is a good vibration reduction control method.
引文
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[4]李惠,袁雪松,吴波.黏滞流体变阻尼半主动控制器对结构抗震控制的试验研究[J].振动工程学报,2002,15(1):25-30.Li Hui,Yuan Xuesong,Wu Bo.Experimental study on structures with semi-active fluid dampers[J].Journal of Vibration Engineering,2002,15(1):25-30.
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[7]邹立华,赵人达,杨治国.铁路柔性桥墩横向抗震加固方法的理论探讨[J].工程力学,2005,22(5):199-203.Zou Lihua,Zhao Renda,Yang Zhiguo.Discussion of laterally seismic reinforcement methods for flexible piers of railway bridges[J].Engineering Mechanics,2005,22(5):199-203.
[8]余钱华,胡世德,范立础.桥梁结构MTMD被动控制的理论研究和实桥分析[J].世界地震工程,2001,17(3):105-108.Yu Qianhua,Hu Shide,Fan Lichu.Theoretical researches and real bridge analysis of passive control of bridge structures with MTMD[J].World Earthquake Engineering,2001,17(3):105-108.
[9]杨润林,闫维明,周锡元.结构离复位控制的可行性研究[J].振动工程报,2005,18(4):130-136.Yang Runlin,Yan Weiming,Zhou Xiyuan.Feasibility study for the off-and-towards equilibrium control of structures[J].Journal of Vibration Engineering,2005,18(4):130-136.
[10]徐龙河.半主动磁流变阻尼控制方法的比较与分析[J].世界地震工程,2000,16(3):95-100.Xu Longhe.Comparison and analysis of semi-active magnetorheological damping control method[J].World Earthquake Engineering,2000,16(3):95-100.
[2]Kawashima K,Unjoh S.Seismic responses control of bridges by variable dampers[J].Struct Engrg,ASCE,1994,120(9):2583-2601.
[3]孙作玉.变阻尼半主动结构控制[D].哈尔滨:哈尔滨建筑大学,1998.Sun Zuoyu.Structure semi-active control with variable damper[D].Harbin:Harbin Architecture University,1998.
[4]李惠,袁雪松,吴波.黏滞流体变阻尼半主动控制器对结构抗震控制的试验研究[J].振动工程学报,2002,15(1):25-30.Li Hui,Yuan Xuesong,Wu Bo.Experimental study on structures with semi-active fluid dampers[J].Journal of Vibration Engineering,2002,15(1):25-30.
[5]李宏男,李忠献.结构振动与控制[M].北京:中国建筑工业出版社,2005.Li Hongnan,Li Zhongxian.Structural Vibration and Control[M].Beijing:China Architecture Press,2005.
[6]周云.黏滞阻尼减震结构设计[M].武汉:武汉理工大学出版社,2006.Zhou Yun.Shock-absorbing Structure with Viscous Damping Design[M].Wuhan:Wuhan University of Technology Press,2006.
[7]邹立华,赵人达,杨治国.铁路柔性桥墩横向抗震加固方法的理论探讨[J].工程力学,2005,22(5):199-203.Zou Lihua,Zhao Renda,Yang Zhiguo.Discussion of laterally seismic reinforcement methods for flexible piers of railway bridges[J].Engineering Mechanics,2005,22(5):199-203.
[8]余钱华,胡世德,范立础.桥梁结构MTMD被动控制的理论研究和实桥分析[J].世界地震工程,2001,17(3):105-108.Yu Qianhua,Hu Shide,Fan Lichu.Theoretical researches and real bridge analysis of passive control of bridge structures with MTMD[J].World Earthquake Engineering,2001,17(3):105-108.
[9]杨润林,闫维明,周锡元.结构离复位控制的可行性研究[J].振动工程报,2005,18(4):130-136.Yang Runlin,Yan Weiming,Zhou Xiyuan.Feasibility study for the off-and-towards equilibrium control of structures[J].Journal of Vibration Engineering,2005,18(4):130-136.
[10]徐龙河.半主动磁流变阻尼控制方法的比较与分析[J].世界地震工程,2000,16(3):95-100.Xu Longhe.Comparison and analysis of semi-active magnetorheological damping control method[J].World Earthquake Engineering,2000,16(3):95-100.
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