Areas of railways with considerable variation of track properties encountered near structures such as bridges and tunnels are referred to as transition zones. Degradation rates at these transition zones are higher compared to the remaining railways. These high degradation rates result in high maintenance expenses. In order to come up with solutions that reduce this degradation and thus also the expenses it is needed to have an understanding of the underlying mechanisms in the railway tracks. This is done by formulating a mathematical model of the railway track which can then be analyzed. Researchers have been using different models for this purpose.

The choice is often made to model the railway track an elastically supported beam. This elastic foundation represents the supporting structure of the railway tracks and its stiffness is based on static load cases. This 1D model is often used due to its relative simplicity compared to other more complicated multidimensional models. This model has been thoroughly analyzed and it has turned out to have an important constraint which is its inability to result in a critical velocity that makes sense for railway tracks. The critical velocity of a railway track is that velocity at which waves travel near the surface of the subsoil of the supporting structure. A vehicle that moves with a velocity close to the critical velocity of the railway track causes a strong amplification of the response. Another important constraint of this model is the fact that there is no possibility to directly adjust the stiffness properties of the different components of which the railway track exists individually.

It is opted in this thesis to adjust the previously mentioned 1D model by the addition of a distributed mass and an extra elastic layer. The upper elastic layer represents the pads and the lower elastic layer represents the remaining of the supporting structure. The idea behind the addition of the distributed mass is to include the activated mass of the supporting structure by the moving load. This is done in order to take the dynamical behavior of the supporting structure into account and thus obtain realistic critical velocities. The idea behind the addition of an elastic layer is that it enables to adjust the stiffness of the pads individually. By using this model one can thus modify the stiffness of the pads at transition zones and study whether it is possible to decrease the degradation which is the initial goal of all studies on transition zones.

In this thesis the adjusted model is analyzed thoroughly for different physical phenomena. Such analyses cannot be found in the literature, to the best of the authors knowledge. The system response has been investigated for a uniformly moving load of a constant magnitude. This has been done for homogeneous properties of the elastic layers and for an abrupt jump in the stiffness of the lower layer. Attention has been given to both the displacement fields of the rails and energy propagation in the system. Also a numerical model has been formulated for other load cases and stiffness properties. In order to simulate infinite system behavior non-reflective boundary conditions have been derived and applied to the numerical model. It has been found that indeed a far more realistic critical velocity can be obtained by making use of the adjusted model. It has furthermore turned out that the system response at a transition zone are very similar for both models for the same ratio of load velocity to the critical velocity. The adjusted model has been investigated extensively in this thesis and it can thus be used as a reference work for future researchers that wish to apply the model. The research that should be performed next in the authors view is to investigate the possibility of reducing the degradation at transition zones by adjusting the stiffness of the pads.