横向地震激励下的悬索桥车-桥耦合动力响应分析
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摘要
为探讨横向地震荷载对列车—悬索桥耦合系统动力响应的影响,以几江公铁两用悬索桥为研究对象,将轨道不平顺作为系统的自激激励源,地震作为外部激励,根据弹性系统动力学总势能不变值原理及形成矩阵的"对号入座"法则,建立地震激励下的车桥系统耦合振动方程和分析模型,对在横向地震波激励下列车通过悬索桥进行了全过程的模拟。分析结果表明:横向地震激励对悬索桥上的列车运行安全性和舒适性有着显著影响。
The dynamic response effect of train-suspension bridge coupling during lateral earthquake was studied.Jijiang rail-cum-road suspension bridge was examined.According to the principle of total potential energy with stationary value in elastic system dynamics and the "set in right position" rule for formulating system matrixes,taking the track irregularities as the self-excitation source of the system and the seismic as external excitation,the coupling vibration equation and the analysis model of coupled train-bridge system under the seismic excitation was established.The whole history of the train running through the suspension bridge was simulated and the dynamic responses of the bridge and the vehicles were calculated under the lateral seismic excitation.The results show that lateral seismic excitation has significant effects on the running safety and comfort of the vehicles on the suspension bridge.
The dynamic response effect of train-suspension bridge coupling during lateral earthquake was studied.Jijiang rail-cum-road suspension bridge was examined.According to the principle of total potential energy with stationary value in elastic system dynamics and the "set in right position" rule for formulating system matrixes,taking the track irregularities as the self-excitation source of the system and the seismic as external excitation,the coupling vibration equation and the analysis model of coupled train-bridge system under the seismic excitation was established.The whole history of the train running through the suspension bridge was simulated and the dynamic responses of the bridge and the vehicles were calculated under the lateral seismic excitation.The results show that lateral seismic excitation has significant effects on the running safety and comfort of the vehicles on the suspension bridge.
引文
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[3]翟婉明,夏禾.列车—轨道—桥梁动力相互作用理论与工程应用[M].北京:科学出版社,2011.ZHAI Wan-ming,XIA He.Train-track-bridge dynamicinteraction:Theory and engineering application[M].Bei-jing:Science Press,2011.
[4]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.ZENG Qing-yuan,GUO Xiang-rong.Theory and applica-tion of train-bridge tmie-variant system vibration analy-sis[M].Beijing:China Railway Press,1999.
[5]曾庆元,杨平.形成矩阵的“对号入座”法则与桁段有限元法[J].铁道学报,1986,8(2):48-59.ZENG Qing-yuan,YANG Ping.The“set-in-right-po-sition”rule for formulating matrix and the truss finite ele-ment method for spatia l truss analysis[J].Journal of theRaiwlay Society,1986,8(2):48-59.
[6]邓子铭,郭向荣,张志勇.地震作用对钢桁梁桥车桥系统耦合振动的影响分析[J].中南大学学报:自然科学版,2011,42(1):184-191.DENG Zi-ming,GUO Xiang-rong,ZHANG Zhi-yong.Cou-pled virbration of train-bridge system of steel truss bridgewith seismic effect[J].Journal of Central South Universi-ty:Science and Technology,2011,42(1):184-191.
[7]韩艳,夏禾,郭微微.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 ofcable-stayed bridge to running trains and earthquakes[J].Engineering Mechanics,2006,23(1):93-98.
[8]夏禾.车桥与结构动力相互作用[M].北京:科学出版社,2002.XIA He.Dynamic interaction between vehicles and struc-tures[M].Beijing:Science Press,2002.
[9]韩艳.地震作用下高速铁路桥梁的动力响应及行车安全性研究[D].北京:北京交通大学土木建筑工程学院,2005.HAN Yan.Dynamic response of high-speed railwaybridges and running safety of vehicles during earthquakes[D].Beijing:School of Civil Engineering Beijing JiaotongUniversity,2005.
[10]郑史雄,奚绍中.大跨度钢构桥的地震反应分析[J].西南交通大学学报,1997,32(6):586-591.ZHENG Shi-xiong,XI Shao-zhong.Seismic response a-nalysis of long span rigid frame bridges[J].Journal ofSouthwest Jiaotong University,1997,32(6):586-591.
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