Dynamic stiffness of infinite Timoshenko beam on viscoelastic foundation in moving co-ordinate

The dynamic stiffness matrix of an infinite Timoshenko beam on viscoelastic foundation in the moving co-ordinate system travelling at a constant velocity is established in this paper. The dynamic stiffness matrix is essentially a function of the velocity of a moving load applied to the beam system. This dynamic stiffness matrix could also be applied to the static-load case by simply setting the velocity equal to zero. The stiffness matrix for the static case can also be derived from the general formula of the dynamic stiffness matrix for a finite Timoshenko beam on viscoelastic foundation. A European railway subjected to a moving load is employed as an example for demonstration and discussion.