Road Dynamic Responses Under Moving Vehicle Loads Based on Double-Layer Plate Model

Abstract

This chapter improves the traditional single infinite Kirchhoff plate model and establishes an infinite double-layer plate on a Kelvin foundation and an elastic half-space to model the road’s layered system. An analytical approach is developed to investigate the dynamic response of the road subjected to moving vehicle loads. The shape of the tire-road contact area is assumed to be rectangular spatial distributed, and the load pressure within the contact area is assumed to be uniformly distributed. The Fourier transform is used to derive the Green’s function of the road under the unit impulse load. Based on the superposition principle of linear system, the analytical solutions of the dynamic responses in time domain are then derived by integrating the generalized Duhamel integral over the Green’s function of the double-layer plate under the unit impulse load. The vibration characteristics of the road under a moving constant and harmonic load are then analyzed.