Abstract
The scaled boundary finite-element method is a novel semi-analytical technique and has been applied to a wide variety of computational problems with great success. This paper deals with the solution of problems involving moving loads through the computational domain at a constant velocity. The problem has been formulated previously with a moving coordinate system following the applied load. As the reference frame is moving with the applied load the problem is reduced to a pseudo-static case which can be solved using conventional techniques. In the original formulation damping was ignored for simplicity, and as a result symmetric solutions were obtained. In this paper damping is introduced into the formulation, including the introduction of mode shapes compatible with the boundary condition at infinity. This results in a non-homogeneous set of equations requiring a Frobenius solution for the resulting set of differential equations.