公路简支梁桥在车辆荷载作用下的动力响应分析
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摘要
把车辆和桥梁看作两个分离的子系统,分别应用d’Alembert原理和有限元法建立它们的振动微分方程,通过两个子系统之间的位移协调条件和相互作用力相等的原则将车辆和桥梁的振动微分方程耦合起来.利用有限元软件ansys的二次开发APDL语言编写了求解车桥耦合系统振动微分方程的命令流,以路面随机不平顺为激振源,进行了车桥耦合系统动力响应的计算,研究了路面不平顺及车辆参数对桥梁动力响应的影响.计算结果表明,路面等级、车速、车辆悬架刚度、车辆悬架阻尼对桥梁结构动力响应的影响明显;车重、轮胎阻尼、轮胎刚度的影响次之.
The bridge and vehicle were taken as two separate subsystems,and the vibration differential equations of vehicle and bridge were respectively derived by d'Alembert theory and finite element method.The differential equations of two subsystems were coupled by the conditions of geometric compatibility and the theory of force equilibrium.Considering the excitation due to road random roughness,the command stream,which was compiled by APDL language for secondary development in ansys,was used to calculate the dynamic responses of vehicle-bridge system and the influences of different kinds of factors such as road roughness and the parameters of vehicle-bridge system were analyzed.The results indicated that the dynamic responses of vehicle-bridge system were sensible to road roughness,vehicle velocity,the stiffness and damping of vehicle suspension system;the influences of vehicle weight,tire damping and tire stiffness occupied the secondary position.
The bridge and vehicle were taken as two separate subsystems,and the vibration differential equations of vehicle and bridge were respectively derived by d'Alembert theory and finite element method.The differential equations of two subsystems were coupled by the conditions of geometric compatibility and the theory of force equilibrium.Considering the excitation due to road random roughness,the command stream,which was compiled by APDL language for secondary development in ansys,was used to calculate the dynamic responses of vehicle-bridge system and the influences of different kinds of factors such as road roughness and the parameters of vehicle-bridge system were analyzed.The results indicated that the dynamic responses of vehicle-bridge system were sensible to road roughness,vehicle velocity,the stiffness and damping of vehicle suspension system;the influences of vehicle weight,tire damping and tire stiffness occupied the secondary position.
引文
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[2]Animesh D,Anjan D,Sudip T.Efficient dynamic analysis of cable-stayed bridges under vehicular movement using space andtime adaptivity[J].Finite Elements in Analysis and Design,2004,40(4):407-424.
[3]Michaltsosa G T,Sarantithoub E,Sophianopoulosb D S.Flexural-torsional vibration of simply supported open cross-section steelbeams under moving loads[J].Journal of Sound and Vibration,2005,280(3):479-494.
[4]夏禾.车辆与结构动力相互作用[M].北京:科学出版社,2002:140-146.
[5]宋一凡.公路桥梁动力学[M].北京:人民交通出版社,2000:74-94.
[6]肖新标,沈火明.3种车桥耦合振动分析模型的比较研究[J].西南交通大学学报,2002,39(2):172-175.
[7]王贵春.大跨度铁路斜拉桥车激振动线性及非线性分析[D].北京:铁道部科学研究院,1996.
[8]章长玖.公路桥梁车桥耦合振动分析[D].郑州:郑州大学,2010.
[9]王凌波,贺拴海,蒋培文.基于车桥耦合振动的桥梁检测方法研究[J].郑州大学学报:工学版,2011,43(1):46-49.
[10]星谷胜.随机振动分析[M].常宝琦,译.北京:地震出版社,1979:47-54.
[11]黄新艺.混凝土连续曲线梁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.
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