Abstract: An infinite two-layer plate on viscoelastic half-space foundation subjected to moving loads is employed as the model of pavement structure. The dynamic Green’s function of the pavement under the unit impulse load is developed using a triple Fourier transform. Based on the superposition principle of linear system，the analytical solutions of the steady-state displacement and stress responses are then derived by combining the generalized Duhamel integral with the Green’s function. The adaptive Simpson numerical algorithm is successfully used to calculate the multiple integral of singular and oscillatory function, and transfers the solutions from the wavenumber-frequency domain to the time-space domain. The vibration characteristics of the pavement under moving constant and harmonic loads are analyzed through some numerical examples; and parameter studies then follow to show the effect of plate thickness and elastic modulus of plate material on the dynamic responses of the pavement structure. The results give an insight into the vibration regularities of pavement under moving loads, and may have important theoretical significance and reference value for the design and construction of pavement.

Key words: viscoelastic half-space, an infinite two-layer plate, dynamic responses, moving load, integral transform