移动车辆荷载作用下中低速磁浮大跨度连续梁桥动力响应分析
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摘要
为研究中低速磁浮大跨度连续梁桥在移动列车荷载作用下的动力响应,采用移动荷载模拟磁悬浮车辆作用,采用振型分解精细积分法建立桥梁动力方程并求解;通过与现场试验结果对比,验证本文模型的准确性和方法的正确性,对比分析不同行车速度、不同桥梁阻尼比等工况下的桥梁动力响应。研究结果表明:桥梁动力系数随列车速度增加而增大,但整体增加幅度不大;在列车以设计运行速度100 km/h行驶时,桥梁阻尼比的变化对桥梁响应影响较小;不同工况下桥梁动力系数均低于我国《中低速磁浮交通设计规范》中的限值。
In order to study the dynamic responses of the low and medium speed maglev long-span continuous beam bridge under the action of the moving train load, the action of maglev train was simulated by the moving load. The dynamic equation of bridge was established and was solved by MDPIM(Mode Decomposition Precision Time Integration Method), through comparison with field test, the accuracy of the finite element model and correctness of method were verified. At last, the dynamic response of bridge under different driving speeds and different damping ratios of the bridge were compared and analyzed. The results show that the dynamic coefficient increases as the train speed increase on the whole, but the increase is not modest. When the train is traveling at the design speed of 100 km/h, the change of the damping ratio of the bridge has little impact on the bridge response. And under different conditions the dynamic coefficient values are lower than the limit value in Code for Design of Low and Medium Speed Maglev Transit.
In order to study the dynamic responses of the low and medium speed maglev long-span continuous beam bridge under the action of the moving train load, the action of maglev train was simulated by the moving load. The dynamic equation of bridge was established and was solved by MDPIM(Mode Decomposition Precision Time Integration Method), through comparison with field test, the accuracy of the finite element model and correctness of method were verified. At last, the dynamic response of bridge under different driving speeds and different damping ratios of the bridge were compared and analyzed. The results show that the dynamic coefficient increases as the train speed increase on the whole, but the increase is not modest. When the train is traveling at the design speed of 100 km/h, the change of the damping ratio of the bridge has little impact on the bridge response. And under different conditions the dynamic coefficient values are lower than the limit value in Code for Design of Low and Medium Speed Maglev Transit.
引文
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[17]徐亚明,王鹏,周校,等.地基干涉雷达IBIS-S桥梁动态形变监测研究[J].武汉大学学报(信息科学版),2013,38(7):845-849.XU Yaming,WANG Peng,ZHOU Xiao,et al.Research on dynamics deformation monitoring of bridges using ground-based Interferometric radar IBIS-S[J].Geomatics&Information Science of Wuhan University,2013,38(7):845-849.
[18]WANG Guochao,Munoz-Ferreras J M,GU Changzhan,et al.Application of linear-frequency-modulated continuous-wave(LFMCW)radars for tracking of vital signs[J].IEEE Transactions on Microwave Theory&Techniques,2014,62(6):1387-1399.
[19]陈伟民,李存龙.基于微波雷达的位移/距离测量技术[J].电子测量与仪器学报,2015,29(9):1251-1265.CHEN Weimin,LI Cunlong.Radar-based displacement/distance measuring techniques[J].Journal of Electronic Measurement&Instruction,2015,29(9):1251-1265.
[20]李星新,田启贤,郑平伟,等.大跨度高速铁路桥梁测试与分析中的技术问题[J].桥梁建设,2009(增2):89-92.LI Xingxin,TIAN Qixian,ZHENG Pingwei,et al.Technical issues in testing analysis of long span high-speed railway bridges[J].Bridge Construction,2009(Suppl 2):89-92.
[2]滕延锋,滕念管,寇新建.承受移动均布二系悬挂模型的磁浮三跨连续梁振动分析[J].振动与冲击,2008,27(3):120-123.TENG Yanfeng,TENG Nianguan,KOU Xinjian.Vibration analysis of maglev three-span continuous beam subjected to moving two-line suspension model[J].Journal of Vibration and Shock,2008,27(3):120-123.
[3]时瑾,魏庆朝,万传风,等.随机不平顺激励下磁浮车辆轨道梁动力响应[J].力学学报,2006,38(6):850-857.SHI Jin,WEI Qingchao,WAN Chuanfeng,et al.Study on dynamic responses of high-speed maglev vehicle/guideway coupling system under random irregularity[J].Theoretical and Applied Mechanics,2006,38(6):850-857.
[4]耿杰,王党雄,李小珍,等.中低速磁浮列车-简支梁系统耦合振动试验研究[J].铁道学报,2018(2):117-124.GENG Jie,WANG Dangxiong,LI Xiaozhen,et al.Experimental study on coupled vibration of low-medium speed maglev train and simply supported girder system[J].Journal of the China Railway Society,2018(2):117-124.
[5]李小珍,洪沁烨,耿杰,等.中低速磁浮列车-轨道梁竖向耦合模型与验证[J].铁道工程学报,2015,32(9):103-108.LI Xiaozhen,HONG Qinye,GENG Jie,et al.The medium and low speed maglev train-track beam coupling vibration model and verification[J].Journal of Railway Engineering Society,2015,32(9):103-108.
[6]杨平,刘德军,李小珍.中低速磁浮简支轨道梁动力系数研究[J].桥梁建设,2016,46(4):79-84.YANG Ping,LIU Dejun,LI Xiaozhen.Investigation of dynamic factors of low and medium speed maglev simply-supported guideway beam[J].Bridge Construction,2016,46(4):79-84.
[7]邓建良,吴定俊,李奇.移动均布荷载作用下简支梁桥动力系数分析[J].工程力学,2013,30(5):56-62.DENG Jianliang,WU Dingjun,LI Qi.Impact factor analysis of simply-supported girder bridges traversed by uniformly-distributed moving loads[J].Engineering Mechanics,2013,30(5):56-62
[8]SONG X D,WU D J,LI Q.Dynamic impact analysis of double-tower cable-stayed maglev bridges using a simple model[J].Journal of Bridge Engineering,2014,19(1):34-43.
[9]张亚辉,张守云,赵岩,等.桥梁受移动荷载动力响应的一种精细积分法[J].计算力学学报,2006,23(3):290-294.ZHANG Yahui,ZHANG Shouyun,ZHAO Yan,et al.Aprecise integration method for bridges subjects to moving loads[J].Chinese Journal of Computational Mechanics,2006,23(3):290-294.
[10]桂水荣,万水,陈水生.移动车辆荷载过桥耦合振动精细积分算法[J].建筑科学与工程学报,2016,33(2):56-62.GUI Shuirong,WAN Shui,CHEN Shuisheng.Precise integration method for bridge subjected to moving vehicle load[J].Journal of Architecture and Civil Engineering,2016,33(2):56-62.
[11]储德文,王元丰.结构动力方程的振型分解精细积分法[J].铁道学报,2003,25(6):89-92.CHU Dewen,WANG Yuanfeng.Mode decomposition precision time integration method for structural dynamics[J].Journal of the China Railway Society,2003,25(6):89-92.
[12]ZHANG N,XIA H.Dynamic analysis of coupled vehicle-bridge system based on inter-system iteration method[M].Pergamon Press,Inc,2013.
[13]R.克拉夫,J.彭津.结构动力学[M].北京:高等教育出版社,2006.Clough Ray W,Penzien J.Dynamics of structures[M].Beijing:Higher Education Press,2006.
[14]Nguyen D V,Kim K D,Warnitchai P.Simulation procedure for vehicle-substructure dynamic interactions and wheel movements using linearized wheel-rail interfaces[J].Finite Elements in Analysis&Design,2009,45(5):341-356.
[15]钟万勰.暂态历程的精细计算方法[J].计算力学学报,1995,12(1):1-6.ZHONG Wanxie.Precise computation for transient analysis[J].Chinese Journal of Computational Mechanics,1995,12(1):1-6.
[16]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994(2):131-136.ZHONG Wanxie.On precise time-integration method for structural dynamics[J].Journal of Dalian University of Technology,1994(2):131-136.
[17]徐亚明,王鹏,周校,等.地基干涉雷达IBIS-S桥梁动态形变监测研究[J].武汉大学学报(信息科学版),2013,38(7):845-849.XU Yaming,WANG Peng,ZHOU Xiao,et al.Research on dynamics deformation monitoring of bridges using ground-based Interferometric radar IBIS-S[J].Geomatics&Information Science of Wuhan University,2013,38(7):845-849.
[18]WANG Guochao,Munoz-Ferreras J M,GU Changzhan,et al.Application of linear-frequency-modulated continuous-wave(LFMCW)radars for tracking of vital signs[J].IEEE Transactions on Microwave Theory&Techniques,2014,62(6):1387-1399.
[19]陈伟民,李存龙.基于微波雷达的位移/距离测量技术[J].电子测量与仪器学报,2015,29(9):1251-1265.CHEN Weimin,LI Cunlong.Radar-based displacement/distance measuring techniques[J].Journal of Electronic Measurement&Instruction,2015,29(9):1251-1265.
[20]李星新,田启贤,郑平伟,等.大跨度高速铁路桥梁测试与分析中的技术问题[J].桥梁建设,2009(增2):89-92.LI Xingxin,TIAN Qixian,ZHENG Pingwei,et al.Technical issues in testing analysis of long span high-speed railway bridges[J].Bridge Construction,2009(Suppl 2):89-92.
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