Vehicle-Bridge Coupled Vibration Analysis Of Non-Linear Suspension System And Continuous Curved Bridge

The main task of coupled vibration of vehicle-bridge is to research the dynamic response of the vehicle and bridge system. Defining the moving vehicle loads dynamic response of the bridge in theory has been a topic of interest to bridge engineers. In recent dozens of years, with bridges getting lighter and more flexible, meanwhile the speed and weight of vehicles growing greater, the problem for coupling vibration of vehicle-bridge becomes further outstanding, more and more aroused the concern of the bridge engineers.The current domestic and foreign researches are mainly focused on railway bridges, which are mostly simple and straight bridges, researches are few regarded to couple vibration of highway vehicle-bridges, less to completed bridge system (such as curved bridge, arc bridge, etc.). With the extensive application of finite element method and large structural analysis software constantly emerging, the numerical analysis method which based on existed finite element analysis software come forth, this method achieve the coupled vibration of vehicle-bridge analysis which contains complex factors (such as the bridge deck roughness, non-linear suspension system, etc.) And complex bridge structures (such as curved bridges).The paper establishes a 4 DOF models of linear suspension and non-linear suspension vehicle-bridge coupled vibration, in which the bridge and the vehicles are treated as two separate systems. Dynamic equations have been deduced from virtual work principle and finite element method. Geometrical compatibility equations and equilibrium equations of the interaction forces between the bridge and vehicle has been given. Analysis code with Newmark-βmethod in MATLAB language for linear and non-linear suspension systems of vehicle vibration analysis have been programmed to solve equations of vehicle vibration. Using geometrical compatibility equations and equilibrium equations of the interaction forces between the bridge and vehicle, based on the existed structural analysis software ANSYS to build bridge model, this paper refers to the vehicle-bridge coupled vibration of the finite element numerical analysis. According to the road surface roughness power spectrum of GB 7031 -86, using Fourier inverse transform simulate deck roughness, established uniform moving vehicles and bridge coupled vibration model.Aimed at continuous curved bridge and 4 DOF vehicle model, the paper analyzes the coupling vibration of vehicle-bridge under conditions of different bridge deck roughness, different vehicle velocities, different bridge curve radius and different non-linear suspension space of vehicle, and analyzes the main factors of the influence of the dynamic factor in the coupled vibration of vehicle-bridge. The results show that: bridge deck roughness, vehicle velocities, etc have a salient effect on vehicle-bridge coupled vibration. With the variation of bridge curve radius, non-linear suspension space of vehicle will cause different maximums of the vibration response of a bridge. Non-linear suspension system of vehicle has a certain damping effect. The achievements can serve as basic references for vehicle-bridge coupled vibration in the complex structure bridges.