Dynamic response of rough pavement on Kelvin foundation subjected to traffic loads

To evaluate the dynamic responses of rough pavement subjected to traffic loads,research is focused on the geometric roughness of pavement,and by regarding the pavement roughness as sine function and simplifying the quarter vehicle to a two DOF vibration system,the dynamic loads expressions of the system are obtained and used to analyze the steady-state responses of infinite rough pavement on Kelvin foundation.The theoretical solutions of vertical displacement of the pavement are derived using the double Fourier transform,and the solutions can be degenerated to the corresponding classical solution of static problem.By employing fast Fourier transform(FFT),the numerical results are obtained and used to analyze the influence of moving load velocity,rough pavement parameters and foundation parameters on the dynamic displacement responses.Computed results show that the distribution and variation of pavement's vertical displacement are influenced by load moving velocity.Two peaks of the deflection can be observed with increase of the rough pavement wavelength and the load velocity because of resonance.The lag effect of maximum displacement caused by pavement roughness becomes strong with the decrease of rough pavement wavelength and the increase of rough pavement amplitude.