This paper describes a physical based structural tyre model for the analysis of the tyre dynamic behaviour below 300 Hz. The model describes all modes that appear in this frequency range, unlike most ring models that are limited to in-plane modes. The main assumption is that the dynamic behaviour of a tyre in this frequency range can be approximated by a flexible three-dimensional ring on an elastic foundation. The model is implemented as a finite element model. The fully assembled tyre model includes a wheel and air cavity model, which is necessary to describe all physical phenomena below 300 Hz. The parameterization of the model is based on simple geometrical properties of the tyre and the experimental modal parameters of the torsional and axial mode. A sensitivity analysis confirmed that those modes are best suited for the sidewall stiffness characterization. Despite the drastic, well considered simplifications, comparison between measured and calculated responses shows that the tyre-wheel model describes the dynamic behaviour with acceptable accuracy. As the model is physical based, it could also be applied to predict the dynamic behaviour under different operating conditions, such as loading and rotation. However, a more detailed description of the treadband and a non-linear sidewall stiffness formulation might be needed then. Although the model only provides response of points on the treadband, it could also be used to predict the structure borne noise radiation below 300 Hz. In this frequency range, the noise radiation is mainly dominated by the tread area. Driving on roads with cobblestones, transverse joints, railroad crossings, are situations in which the exterior tyre noise is dominated by structure borne noise radiation below 500 Hz.