Damping elements made of elastomers are often used in dynamic systems such as vehicles or centrifuges. Numerical simulation methods in general and multi-body simulation (MBS) in particular are applied to predict loads and kinematic quantities in these technical systems. This requires knowledge of mass, damping and stiffness properties. Therefore, the modeling of elastomer components is essential for high prediction accuracy. However, the complex and extremely non-linear material behavior of elastomers requires material models capable of reproducing these mechanical properties. In addition, one-dimensional models may not be sufficient for modeling damping elements under multi-axial loading. To enhance the prediction accuracy of MBS by incorporating these nonlinearities, the first step is to establish an MBS model for the dynamic system, using a laboratory centrifuge as an example. This forms the basis for gradually increasing the modeling depth from a one-dimensional spring to a simulation coupled with finite element analysis (FEA). The starting point of the material model is a simple rheological model, with the objective of substituting it with a physically-motivated model. Various coupling strategies between FEA and MBS are implemented and compared to experimental results.