二期恒载对大跨度斜拉桥车桥耦合振动的影响
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摘要
用多刚体模拟车辆,梁格法简化桥面板,以等效质量的形式施加二期恒载。基于车辆、桥梁空间振动模型,建立桥梁—轻轨车—汽车耦合系统的空间振动方程。采用直接积分法求解此方程,并编制相应程序。以某大跨度斜拉桥方案为例,计算其自振特性,进行大跨度斜拉桥—轻轨车—汽车耦合系统的车桥振动分析,并讨论二期恒载对自振频率和车桥耦合振动响应的影响。研究结果表明:二期恒载会使桥梁结构的自振频率减小,对桥梁结构的位移响应影响较小,但对加速度响应影响明显。
The vehicle was modeled by rigid dynamics method,the bridge deck was simplified by grillage method,and the secondary dead load was taken into account in the form of equivalent quality.Based on the spatial vibration analysis models of vehicle and bridge,the equation of the bridge-monorail train-vehicle system was established.The equation was solved by direct integral method,and a program was compiled.A long-span cable-stayed bridge was taken as an example,the dynamic characteristics of the bridge were calculated,the coupling vibration responses of long-span cable-stayed bridge-monorail train-vehicle system were analyzed,and the influence of second dead loads on the natural vibration frequencies of the bridge and the vibration response of the vehicle-bridge coupling system was discussed.The results show that the secondary dead loads can reduce the vibration frequencies of the bridge,though it hardly affects the displacement of the bridge,it has significant influence on the acceleration.
The vehicle was modeled by rigid dynamics method,the bridge deck was simplified by grillage method,and the secondary dead load was taken into account in the form of equivalent quality.Based on the spatial vibration analysis models of vehicle and bridge,the equation of the bridge-monorail train-vehicle system was established.The equation was solved by direct integral method,and a program was compiled.A long-span cable-stayed bridge was taken as an example,the dynamic characteristics of the bridge were calculated,the coupling vibration responses of long-span cable-stayed bridge-monorail train-vehicle system were analyzed,and the influence of second dead loads on the natural vibration frequencies of the bridge and the vibration response of the vehicle-bridge coupling system was discussed.The results show that the secondary dead loads can reduce the vibration frequencies of the bridge,though it hardly affects the displacement of the bridge,it has significant influence on the acceleration.
引文
[1]郭文华,郭向荣,曾庆元.京沪高速铁路南京长江大桥斜拉桥方案车桥系统振动分析[J].土木工程学报,1999,32(3):23-27.GUO Wen-hua,GUO Xiang-rong,ZENG Qing-yuan.Vibration analysis of train-bridge system for cable-stayed bridge scheme of Nanjing Yangtze Bridge on Beijing—Shanghai high speed railway[J].China Civil Engineering Journal,1999,32(3):23-27.
[2]赵永刚,盛洪飞,陈明非.大跨度斜拉桥车-桥耦合振动分析的数值解法[J].公路工程,2009,34(1):143-146.ZHAO Yong-gang,SHENG Hong-fei,CHEN Ming-fei.Numerical method based on vehicle-bridge coupling vibration analysis of large span cable-stayed bridges[J].Highway Engineering,2009,34(1):143-146.
[3]Bruno D,Greco F,Lonetti P.Dynamic impact analysis of long span cable-stayed bridges under moving loads[J].Engineering Structures,2008,30(4):1160-1177.
[4]王贵春,潘家英,张欣.大跨度铁路斜拉桥车桥耦合振动非线性分析[J].应用力学学报,2008,25(3):524-528.WANG Gui-chun,PAN Jia-ying,ZHANG Xin.Nonlinear analysis of vehicle-bridge coupled vibration of railway cable-stayed bridges with long span[J].Chinese Journal of Applied Mechanics,2008,25(3):524-528.
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[7]李小珍,喻璐,强士中.不同主梁竖曲线下大跨度斜拉桥的车桥耦合振动分析[J].振动与冲击,2003,22(2):43-46.LI Xiao-zhen,YU Lu,QIANG Shi-zhong.Vehicle-bridge interaction of long-span cable-stayed bridges with various vertical girder curves[J].Journal of Vibration and Shock,2003,22(2):43-46.
[8]Yau J D,Yang Y B.Vibration reduction for cable-stayed bridges traveled by high-speed trains[J].Finite Elements in Analysis and Design,2002,40:341-359.
[9]向俊,孔凡兵,曾庆元.货物列车编组对列车-桥梁系统空间振动的影响[J].中南大学学报:自然科学版,2007,38(2):345-350.XIANG Jun,KONG Fan-bing,ZENG Qing-yuan.Influence of freight train formation on spatial vibration of train-bridge system[J].Journal of Central South University:Science and Technology,2007,38(2):345-350.
[10]万信华,胡晓燕,郝行舟,等.非平整桥面引起大跨斜拉桥车桥耦合振动响应研究[J].振动与冲击,2007,26(2):66-71.WAN Xin-hua,HU Xiao-yan,Hao Xing-zhou,et al.Vehicle-bridge coupling vibration responses of long-span cable-stayed bridges due to irregular pavement[J].Journal of Vibration and Shock,2007,26(2):66-71.
[11]韩艳,夏禾,郭薇薇.斜拉桥在地震与列车荷载同时作用下的动力响应分析[J].工程力学,2006,23(1):93-98.HAN Yan,XIA He,GUO Wei-wei.Dynamic response of cable-stayed bridge to running trains and earthquakes[J].Engineering Mechanics,2006,23(1):93-98.第8期郭文华,等:二期恒载对大跨度斜拉桥车桥耦合振动的影响
[12]张楠,夏禾,郭薇薇,等.京沪高速铁路南京大胜关长江大桥风-车-桥耦合振动分析[J].中国铁道科学,2009,30(1):41-48.ZHANG Nan,XIA He,GUO Wei-wei,et al.Analysis on the wind-vehicle-bridge coupling vibration for Nanjing Dashengguan Yangtze River Bridge of Beijing—Shanghai high-speed railway[J].China Railway Science,2009,30(1):41-48.
[13]谭长建,祝兵.地震作用下高速列车与桥梁耦合振动分析[J].振动与冲击,2009,28(1):4-8.TAN Chang-jian,ZHU Bing.Coupled vibration analysis of high speed train and bridge subjected to seismic excitation[J].Journal of Vibration and Shock,2009,28(1):4-8.
[14]司学通,郭文华.跨座式轻轨车与汽车同时作用下的公轨两用特大桥梁动力响应及行车舒适性研究[D].长沙:中南大学土木建筑学院,2007:15-35.SI Xue-tong,GUO Wen-hua.Riding comfort and dynamic responses analysis for long-span highway and railway bi-purpose bridge traveled by monorail trains and vehicles[D].Changsha:Central South University.School of Civil Engineering and Architecture,2007:15-35.
[15]GUO Wen-hua.Dynamic analysis of coupled road vehicle and long span cable-stayed bridge systems under cross winds[D].Hong Kong:The Hong Kong Polytechnic University.Department of Civil and Structural Engineering,2003:3-17.
[16]Guo W H,Xu Y L.Fully computerized approach to study cable-stayed bridge-vehicle interaction[J].Journal of Sound and Vibration,2001,248(4):745-761.
[17]曾庆元,郭向荣.列车桥梁时变系统振动分析理论与应用[M].北京:中国铁道出版社,1999:87-89.ZENG Qing-yuan,GUO Xiang-rong.Theory and application of train-bridge time-variant system vibration analysis[M].Beijing:China Railway Press,1999:87-89.
[18]Bathe K J,Wilson E L.有限元分析中的数值方法[M].林公豫,罗恩,译.北京:科学出版社,1985:319-323.BATHE K J,WILSON E L.Numerical methods in finite element analysis[M].LIN Gong-yu,LUO En,trans.Beijing:Science Press,1985:319-323.
[2]赵永刚,盛洪飞,陈明非.大跨度斜拉桥车-桥耦合振动分析的数值解法[J].公路工程,2009,34(1):143-146.ZHAO Yong-gang,SHENG Hong-fei,CHEN Ming-fei.Numerical method based on vehicle-bridge coupling vibration analysis of large span cable-stayed bridges[J].Highway Engineering,2009,34(1):143-146.
[3]Bruno D,Greco F,Lonetti P.Dynamic impact analysis of long span cable-stayed bridges under moving loads[J].Engineering Structures,2008,30(4):1160-1177.
[4]王贵春,潘家英,张欣.大跨度铁路斜拉桥车桥耦合振动非线性分析[J].应用力学学报,2008,25(3):524-528.WANG Gui-chun,PAN Jia-ying,ZHANG Xin.Nonlinear analysis of vehicle-bridge coupled vibration of railway cable-stayed bridges with long span[J].Chinese Journal of Applied Mechanics,2008,25(3):524-528.
[5]李小珍,强士中.大跨度公铁两用斜拉桥车桥动力分析[J].振动与冲击,2003,22(1):6-9.LI Xiao-zhen,QIANG Shi-zhong.Vehicle-bridge dynamic analysis for long-span highway and railway bi-purpose cable-stayed bridge[J].Journal of Vibration and Shock,2003,22(1):6-9.
[6]李小珍,蔡婧,强士中.芜湖长江大桥斜拉桥的车桥耦合振动分析[J].铁道学报,2001,23(2):70-74.LI Xiao-zhen,CAI Jing,QIANG Shi-zhong.Coupling vibration analysis of main span on Wuhu Yangtze-River bridge[J].Journal of the China Railway Society,2001,23(2):70-74.
[7]李小珍,喻璐,强士中.不同主梁竖曲线下大跨度斜拉桥的车桥耦合振动分析[J].振动与冲击,2003,22(2):43-46.LI Xiao-zhen,YU Lu,QIANG Shi-zhong.Vehicle-bridge interaction of long-span cable-stayed bridges with various vertical girder curves[J].Journal of Vibration and Shock,2003,22(2):43-46.
[8]Yau J D,Yang Y B.Vibration reduction for cable-stayed bridges traveled by high-speed trains[J].Finite Elements in Analysis and Design,2002,40:341-359.
[9]向俊,孔凡兵,曾庆元.货物列车编组对列车-桥梁系统空间振动的影响[J].中南大学学报:自然科学版,2007,38(2):345-350.XIANG Jun,KONG Fan-bing,ZENG Qing-yuan.Influence of freight train formation on spatial vibration of train-bridge system[J].Journal of Central South University:Science and Technology,2007,38(2):345-350.
[10]万信华,胡晓燕,郝行舟,等.非平整桥面引起大跨斜拉桥车桥耦合振动响应研究[J].振动与冲击,2007,26(2):66-71.WAN Xin-hua,HU Xiao-yan,Hao Xing-zhou,et al.Vehicle-bridge coupling vibration responses of long-span cable-stayed bridges due to irregular pavement[J].Journal of Vibration and Shock,2007,26(2):66-71.
[11]韩艳,夏禾,郭薇薇.斜拉桥在地震与列车荷载同时作用下的动力响应分析[J].工程力学,2006,23(1):93-98.HAN Yan,XIA He,GUO Wei-wei.Dynamic response of cable-stayed bridge to running trains and earthquakes[J].Engineering Mechanics,2006,23(1):93-98.第8期郭文华,等:二期恒载对大跨度斜拉桥车桥耦合振动的影响
[12]张楠,夏禾,郭薇薇,等.京沪高速铁路南京大胜关长江大桥风-车-桥耦合振动分析[J].中国铁道科学,2009,30(1):41-48.ZHANG Nan,XIA He,GUO Wei-wei,et al.Analysis on the wind-vehicle-bridge coupling vibration for Nanjing Dashengguan Yangtze River Bridge of Beijing—Shanghai high-speed railway[J].China Railway Science,2009,30(1):41-48.
[13]谭长建,祝兵.地震作用下高速列车与桥梁耦合振动分析[J].振动与冲击,2009,28(1):4-8.TAN Chang-jian,ZHU Bing.Coupled vibration analysis of high speed train and bridge subjected to seismic excitation[J].Journal of Vibration and Shock,2009,28(1):4-8.
[14]司学通,郭文华.跨座式轻轨车与汽车同时作用下的公轨两用特大桥梁动力响应及行车舒适性研究[D].长沙:中南大学土木建筑学院,2007:15-35.SI Xue-tong,GUO Wen-hua.Riding comfort and dynamic responses analysis for long-span highway and railway bi-purpose bridge traveled by monorail trains and vehicles[D].Changsha:Central South University.School of Civil Engineering and Architecture,2007:15-35.
[15]GUO Wen-hua.Dynamic analysis of coupled road vehicle and long span cable-stayed bridge systems under cross winds[D].Hong Kong:The Hong Kong Polytechnic University.Department of Civil and Structural Engineering,2003:3-17.
[16]Guo W H,Xu Y L.Fully computerized approach to study cable-stayed bridge-vehicle interaction[J].Journal of Sound and Vibration,2001,248(4):745-761.
[17]曾庆元,郭向荣.列车桥梁时变系统振动分析理论与应用[M].北京:中国铁道出版社,1999:87-89.ZENG Qing-yuan,GUO Xiang-rong.Theory and application of train-bridge time-variant system vibration analysis[M].Beijing:China Railway Press,1999:87-89.
[18]Bathe K J,Wilson E L.有限元分析中的数值方法[M].林公豫,罗恩,译.北京:科学出版社,1985:319-323.BATHE K J,WILSON E L.Numerical methods in finite element analysis[M].LIN Gong-yu,LUO En,trans.Beijing:Science Press,1985:319-323.
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