Dynamic response of an infinite beam on a transversely isotropic multilayered half-space due to a moving load

Abstract

This paper investigates the dynamic problem for an infinite Euler–Bernoulli beam supported by a transversely isotropic multilayered half-space due to moving loads. By introducing a moving system and using double Fourier integral transform, the analytical layer-element solution for the transversely isotropic layered half-space is obtained, which can be used to derive the equivalent dynamic stiffness of the transversely isotropic layered medium. By virtue of the theory of Euler–Bernoulli beam, the equivalent dynamic stiffness and the boundary conditions, the deflection of beam in integral transform domain is derived. Solutions in physical domain are further acquired by numerical inverse integral transform. The validation examples demonstrate that the presented approach in this paper is accurate and effective. Other numerical examples are carried out to analyze the effect of flexural rigidity of beam, load speed, transverse isotropy and stratified characters of medium.