Abstract:To investigate the effect of road roughness coherent function on the response of vehicle-bridge coupling system, the vehicle-bridge coupling model with multi-point coherent stimulus was proposed by pseudo excitation method (PEM). Considering the coherence of road irregularity stimulus, the 3D coherent excitation random vibration model was proposed for vehicle-bridge systems to discuss the effects of vibration response and spectrum characteristic of vehicle-bridge coupling system caused by Naryanan function, Dieter function and Zhang function. The bridge was modeled as beam-shell solid elements, and the vehicle with three axles was simplified as 3D nine-degree of freedom model. The results show that the coherent functions have obvious effects on displacement root-mean-square and acceleration mean square deviation. The coherent function has obvious effect on energy with slight effect on the frequency between road roughness spectrum and vehicle-bridge coupling resonance system. The effects of road roughness coherent function should be considered for the vehicle responses based on vehicle-bridge coupling random vibration, while it can be ignored for the bridge responses.