考虑约束扭转的斜拉桥车激横向振动分析
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摘要
利用有限单元法,基于力学原理和几何协调条件,导出了非对称箱型截面梁单元的弯扭耦合刚度矩阵,建立了斜拉桥在车辆荷载作用下的横向动力分析模型。由于考虑了箱梁的约束扭转,该模型能够分析复线或多线铁路桥在偏载作用下的横向振动问题。以桥梁轨道随机不平顺作为激振源,进行了机车过桥的实例分析。计算结果表明,桥梁的车激横向动力响应随车速及轨道不平顺样本的不同而变化,并随桥跨的增加而快速变得显著,车辆偏载对箱梁扭转振动有显著影响,所建立的力学模型是斜拉桥车桥耦合振动分析的实用模型。
By using the finite element method of structural analysis,on the basis of mechanical theorem and geometric coordinative condition,the coupled flexure-torsion stiffness matrix of the beam element with asymmetric section are derived and a model of cable-stayed bridge for lateral dynamic analysis due to the vehicle is constructed.Considering the restrained torsion,we can analyze the lateral vibration of double-line or multiple-line railway bridges under unbalanced loads with the model.The random irregularities of the track on the bridge are taken as an exciting source to analyze the interaction between the vehicle and the bridge for two examples.The results obtained indicate that the lateral dynamic response varies with the change of vehicle speed and the samples of track irregularities,and becomes significant with the increment of the bridge span.Besides,the unbalanced load has significant influence on the torsion vibration.It is feasible to apply the mechanical model established in the paper to the dynamic analysis of the cable-stayed bridge under the vehicle.
By using the finite element method of structural analysis,on the basis of mechanical theorem and geometric coordinative condition,the coupled flexure-torsion stiffness matrix of the beam element with asymmetric section are derived and a model of cable-stayed bridge for lateral dynamic analysis due to the vehicle is constructed.Considering the restrained torsion,we can analyze the lateral vibration of double-line or multiple-line railway bridges under unbalanced loads with the model.The random irregularities of the track on the bridge are taken as an exciting source to analyze the interaction between the vehicle and the bridge for two examples.The results obtained indicate that the lateral dynamic response varies with the change of vehicle speed and the samples of track irregularities,and becomes significant with the increment of the bridge span.Besides,the unbalanced load has significant influence on the torsion vibration.It is feasible to apply the mechanical model established in the paper to the dynamic analysis of the cable-stayed bridge under the vehicle.
引文
[1]李小珍,强士中.列车-桥梁耦合振动研究的现状与发展趋势[J].铁道学报,2002,24(5):112-120.
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[3]曹雪琴.钢桁梁桥横向振动[M].北京:中国铁道出版社,1991.
[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.
[5]Song MK,Noh HC,Chol C K.A new three-dimensional finite element analysis model of high-speed train-bridge interactions[J].EngineeringStructures,2003,25:1611-1626.
[6]夏禾.车辆与结构动力相互作用[M].北京:科学出版社,2002.
[7]董永财,杨长春.在地震力作用下高架桥梁上轨道车辆动态分析与安全性研究[J].地震工程与工程振动,2005,25(5):153-159.
[8]Yang Y B,Lin C W,Vehicle-bridge interaction dynamics and potential applications[J].Journal of Sound and Vibration,2005,284(1):205-226.
[9]谢贻权,何福保.弹性和塑性力学中的有限单元法[M].北京:机械工业出版社,1988.
[10]张元海.薄壁箱梁的挠曲扭转有限元分析[J].土木工程学报,1995,28(6):28-36.
[11]王贵春,潘家英,程庆国.铁路桥梁在列车荷载作用下的动力分析[J].中国铁道科学,1996,17(4):80-89.
[12]王贵春.大跨度铁路斜拉桥车激空间振动线性及非线性分析[D].北京:铁道部科学研究院,1996.
[2]Wang TL,Chu K H.Railway bidge/vehicle interaction studies with new vehicle model[J].Journal of Structural Engineering,1991,117(7):2099-2116.
[3]曹雪琴.钢桁梁桥横向振动[M].北京:中国铁道出版社,1991.
[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.
[5]Song MK,Noh HC,Chol C K.A new three-dimensional finite element analysis model of high-speed train-bridge interactions[J].EngineeringStructures,2003,25:1611-1626.
[6]夏禾.车辆与结构动力相互作用[M].北京:科学出版社,2002.
[7]董永财,杨长春.在地震力作用下高架桥梁上轨道车辆动态分析与安全性研究[J].地震工程与工程振动,2005,25(5):153-159.
[8]Yang Y B,Lin C W,Vehicle-bridge interaction dynamics and potential applications[J].Journal of Sound and Vibration,2005,284(1):205-226.
[9]谢贻权,何福保.弹性和塑性力学中的有限单元法[M].北京:机械工业出版社,1988.
[10]张元海.薄壁箱梁的挠曲扭转有限元分析[J].土木工程学报,1995,28(6):28-36.
[11]王贵春,潘家英,程庆国.铁路桥梁在列车荷载作用下的动力分析[J].中国铁道科学,1996,17(4):80-89.
[12]王贵春.大跨度铁路斜拉桥车激空间振动线性及非线性分析[D].北京:铁道部科学研究院,1996.
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