Nonlinear Analysis Of Vehicle-Bridge Coupling Vibration For Continuous Girder Bridge With Multiple Vehicles

Vehicle-bridge coupled vibration is usually understood as mutual influence between the vehicle and the bridge.The early research on the vehicle-bridge coupling problem mainly focused on the vehicle-bridge coupled vibration linearity of a single vehicle.With the development of science and technology,the bridge structure has gradually become lighter and the number of vehicles has increased,which led to previous studies on the vehicle-bridge coupling problem difficult to meet the development needs of bridge.In order to meet the needs of the times,this paper studies the influence of dynamic response values of bridge structures.The main contents of this article are as follows:(1)The origin and history of research on vehicle-bridge coupled vibration is introduced.Then according to the current research status of vehicle-bridge coupled vibration and current traffic conditions,the necessity of coupling nonlinear analysis of vehicles and bridges is described.(2)Continuous beam bridges are generally used as a kind of bridge structure system.However,due to the lack of a unified function analysis formula of the mode shape,the research on the vehicle-bridge coupling problem is progressing slowly.In this paper,based on the theory of vibration function of bridges,a new method is used to solve the vibration mode function of continuous beam bridges,and the reliability of the function is proved.(3)A comprehensive analysis was conducted on the quarter vehicle model,the nonlinear motion model of the bridge,and the coupled coupling equation of the vehicle and bridge.The vehicle-bridge coupled nonlinear analysis model of a single vehicle was established,and the correctness of the results calculated by the model was verified by calculation examples.(4)Considering the nonlinearity of bridges,a multi-vehicle coupling nonlinear analysis model for multi-vehicles was established by analyzing the force conditions of the bridges when multiple vehicles were driving,and Newmark method was used to solve them.Through specific examples,the influence of the number of vehicles,distance between vehicles and vehicle speed on the dynamic response value of the bridge is analyzed.(5)Based on the coupled nonlinear analysis model of multi-vehicle vehicles and bridges,the dynamic responses of multiple vehicles under the same variable-speed driving and reverse variable speed driving are studied.The results show that the dynamic response value of the bridge is greatly affected by the driving state of the vehicle.Therefore,the design of bridges should fully consider the influence of the driving state of the vehicle.In this paper,the study about the selection of the impact coefficient of bridges has certain reference value.