Dynamic analysis of pre-stressed elastic plates resting on layered soils

Based on the analytical layer-element method and classical the elastic thin plate theory, a method for solving the vertical dynamic interaction between the layered soils and the pre-stressed elastic plates is proposed. Starting from the fundamental solution of soils and the dynamic equation of elastic plates, a dynamic coupling equation for the soils and elastic plates in the transformation domain is obtained by means of the Hankel integral transformation and the compatibility condition at the soil-elastic plate interface. The displacement solution for the pre-stressed elastic plates in frequency domain is further obtained by solving the coupling equation and the numerical inverse transformation. By comparing with the results in the existing literatures, the accuracy of the proposed method and the program is verified. Finally, the influences of the stiffness ratio of the plates to the soils and the radial pre-stress of plate on the vertical dynamic displacement of pre-stressed elastic plates are discussed.