Abstract
Based on the theory of vehicle-bridge coupling vibration, the differential equation of vehicle-bridge coupling system is set up according to different conditions. The differential equation of the system is converted into matrix form using mode decomposition method and is solved using MATLAB. The system equation has a non-linear matrix term when the geometric nonlinearity of the bridge is considered. The influence of wheel acceleration on the dynamic response of the bridge is analyzed without simplification under four speeds. The results show that it is acceptable to neglect the influence of wheel acceleration at low speeds, but it has a significant influence which must be considered at high speeds.
Highlights
IntroductionWith the remarkable and increasing span and vehicle load of bridges, as well as the gradually decreasing mass and stiffness of bridge structures, much attention has been focused on the complexity and diversity of vehicle-bridge coupling vibration
With the remarkable and increasing span and vehicle load of bridges, as well as the gradually decreasing mass and stiffness of bridge structures, much attention has been focused on the complexity and diversity of vehicle-bridge coupling vibration.There are numerous methods of analyzing vehicle-bridge coupling vibration
Where ρ = 2M ⁄ml, ρ = 2C ⁄ml, ρ = 2k ⁄ml and φ = sin nπvt⁄l. It can be seen from the above derivations that in cases where the geometric nonlinearity of the bridge is taken into consideration, the system equation has a non-linear matrix term
Summary
With the remarkable and increasing span and vehicle load of bridges, as well as the gradually decreasing mass and stiffness of bridge structures, much attention has been focused on the complexity and diversity of vehicle-bridge coupling vibration. There are numerous methods of analyzing vehicle-bridge coupling vibration. The influence of the geometric nonlinearity of the structures on the vehicle-bridge coupling vibration is important, especially for long-span and low-mass bridges. INFLUENCE OF BRIDGE GEOMETRIC NONLINEARITY ON DYNAMIC RESPONSE OF VEHICLE-BRIDGE COUPLING SYSTEM. By combining Eq (6) and Eq (7), the system dynamic equilibrium equations of the vehicle coupling with the -supported beam are obtained. Where ρ = 2M ⁄ml, ρ = 2C ⁄ml, ρ = 2k ⁄ml and φ = sin nπvt⁄l It can be seen from the above derivations that in cases where the geometric nonlinearity of the bridge is taken into consideration, the system equation has a non-linear matrix term. It can be found that the non-linear matrix is related only to the nature of the bridge itself, and not to the parameters of the vehicle
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