Dynamic response of infinite plate on orthotropic half-plane medium under moving loads

Based on the thin plate theory and the elastodynamics theory, the mechanical analysis model and the dynamic differential equations for the infinite elastic plate on orthotropic foundation under moving harmonic loads are established by taking the displacement component as the basic unknown quantity under the rectangular coordinate system. The initial and boundary conditions are introduced so that the integral forms of plate deflection and the contact stress between the plate and the foundation under moving loads are derived by means of the coordinate transformation and the Fourier integral transform. The calculation procedure is performed based on the derived theory method. The numerical results for the dynamic response of plates on orthotropic foundation are presented under harmonic vibrating strip moving loads, and the numerical solutions in time domain are achieved. The numerical examples show that the method is reasonable and feasible. Finally, the dynamic response parameters of highway pavement plate under moving harmonic loads are analyzed. The effects of soil parameters, board parameters, load speeds and load frequencies on the maximum and distribution of dynamic responses are investigated, and the characteristics of dynamic responses of the plate are studied. The results indicate that the orthotropic parameters of soil, thickness and elastic modulus of plate, load frequency and moving speed have a great influence on the dynamic responses of plate.