Semi-Analytical Solution for Vehicle-Road Vibrational Coupling System Based on an Infinite-Length Beam Model
To solve the complex challenge of response calculation for the coupling system between the infinite-length road and vehicle,the elastic characteristics of foundation and road roughness are considered in the analysis,and a vehicle-road vibration coupling system is established based on an infinite length Euler-Bernoulli beam model.Then,the moving coordinate system was set up using the vehicle as the reference point.The analytical solution of vibration response of the coupled system was derived by integral transformation.The numerical calculations were carried out by applying the residue theorem,and the semi-analytical solutions for the vehicle's vertical displacement,acceleration and road vibration response were obtained.Compared to the traditional modal superposition method used for the coupling response of finite-length roads and vehicles,this method achieves higher computational efficiency and accuracy.The parametric study of the system also proves the validity of the semi-analytical solution.These results provide important theoretical guidance for improving vehicle comfort as well as optimizing and controlling road friendliness.
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