In this paper, two different model order reduction approaches for elastic multibody systems with moving loads are considered. The first approach is based on a parametric formulation of the input and output matrices and application of parametric model order reduction. Therefore, a quasi-static description without considering the time dependency of the parameter is proposed. In the second approach, the time-varying input matrix is approximated in a low-dimensional subspace and model order reduction of a time-invariant system is performed. To investigate the applicability of these methods for the generation of reduced elastic multibody systems, for the first time, both approaches are compared for a thin-walled cylinder model with a rotating force.