大跨度公路斜拉桥车桥耦合振动竖向响应分析
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摘要
在数值分析软件MATLAB平台上,运用三角级数法将桥面不平顺模拟为具有各态历经的平稳随机过程.根据有限元法建立大跨度斜拉桥分析模型,将车辆模拟为5个自由度的质量-弹簧-阻尼体系,分别建立车辆和桥梁结构的振动微分方程,通过位移协调和力的平衡条件形成车桥系统的耦合振动微分方程.采用Newmark-β法,利用有限元分析软件ANSYS编写了迭代计算的APDL命令流,进行主跨为550 m的福建长门大跨度公路斜拉桥的车桥耦合振动分析.计算结果表明:桥梁结构动力响应随桥面状况的恶化而显著增大,随结构阻尼的增大而近似呈线性关系减小.随车重的增加而先增大后减小,在开始阶段,响应迅速增大,而后缓慢减小.
On the platform of numerical analysis software named MATLAB,road surface roughness was simulated as stationary random process with ergodicity by trigonometric series method.The finite element analysis model of highway cable-stayed bridge with long span was established with finite element method,and a vehicle was imitated as a mass-spring-damp system with five DOFs.Vibration differential equations of vehicle and bridge were established respectively and coupled by compatibility of displacement and equilibrium of force.Newmark-β method and APDL command stream compiled for iterative computations were used to analyze the dynamic response of Changmen bridge with long span of 550 m.The calculation results indicated that dynamic responses of bridge structure increased when road surface roughness became worse,chiefly linearly decreased when structural damping ratio increased,and first quickly increased and then slowly decreased when vehicle weight increased.
On the platform of numerical analysis software named MATLAB,road surface roughness was simulated as stationary random process with ergodicity by trigonometric series method.The finite element analysis model of highway cable-stayed bridge with long span was established with finite element method,and a vehicle was imitated as a mass-spring-damp system with five DOFs.Vibration differential equations of vehicle and bridge were established respectively and coupled by compatibility of displacement and equilibrium of force.Newmark-β method and APDL command stream compiled for iterative computations were used to analyze the dynamic response of Changmen bridge with long span of 550 m.The calculation results indicated that dynamic responses of bridge structure increased when road surface roughness became worse,chiefly linearly decreased when structural damping ratio increased,and first quickly increased and then slowly decreased when vehicle weight increased.
引文
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[2]肖勇刚,朱素红.车桥耦合系统的非线性动力分析[J].振动与冲击,2007,26(8):104-108.
[3]Yin Xinfeng,Fang Zhi,Cai C S,et al.Non-stationary random vibration of bridges under vehicles with variable speed[J].Engi-neering Structures,2010,32(8):2166-2174.
[4]黄新艺.混凝土连续曲线桥在车辆荷载作用下的动力响应研究[D].哈尔滨:哈尔滨工业大学,2008.
[5]Su Di,Laomenit J,Fujino Y.Traffic-induced response prediction of highway bridges[J].Science Direct,2011,14(12):1071-1078.
[6]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.
[7]熊建珍,高芒芒,俞翰斌.公路斜拉桥在汽车车列荷载作用下的振动响应研究[J].中国铁道科学,2006,27(5):54-59.
[8]胡晓燕,万信华,张耀庭,等.天兴洲长江大桥斜拉桥在地震作用下的车—桥耦合振动分析[J].公路,2009(4):162-167.
[9]Wyss J C,Su Di,Fujino Y.Prediction of vehicle-induced local responses and application to a skewed girder bridge[J].Engi-neering Structures,2011,33(4):1088-1097.
[10]Argentini T,Ozkan E,Rocchi D,et al.Cross-wind effects on a vehicle crossing the wake of a bridge pylon[J].Journal of WindEngineering and Industrial Aerodynamics,2011,99(6/7):734-740.
[11]Leita～o F N,da Silva J G S,da S Vellasco P C G,et al.Composite(steel-concrete)highway bridge fatigue assessment[J].Jour-nal of Constructional Steel Research,2011,67(1):14-24.
[12]夏禾,张楠.车辆与结构动力相互作用[M].2版.北京:科学出版社,2005:93-106.
[13]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.
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