Dynamic Analysis of the Infinite Plate on Orthotropic Foundation Subjected to Moving Loads

Abstract

Based on the Kirchhoff thin plate theory and elastodynamics theory, the Kirchhoff small deformation infinite elastic thin plate is adopted to simulate the pavement, and the orthotropic elastic half space is used to simulate subgrade. The mechanical model and dynamic equations in the rectangular coordinate system are established for the infinite elastic plate on orthotropic foundation subjected to moving loads. The integral forms of plane strain dynamic responses are derived by means of Fourier transform and inverse Fourier transform. Numerical examples are conducted on condition that the harmonic vibrating strip load is applied on the plate surface. Studies are conducted to investigate the effect of the soil orthotropic parameters on dynamic response of subgrade and the plate. The results indicate that the anisotropy of the soil has a great influence on the dynamic response of subgrade and pavement interaction, and that dynamic response can be described more accurately by considering the orthogonal anisotropy of foundation.