Transition radiation in a nonlinear and infinite one-dimensional structure: a comparison of solution methods

Transition zones in railway tracks are locations with a significant variation of track properties (i.e. foundation stiffness) encountered near structures such as bridges and tunnels. Due to strong amplification of the track’s response, transition zones are prone to rapid degradation. To investigate the degradation mechanisms in transition...

Transition radiation in an infinite one-dimensional structure interacting with a moving oscillator—the Green's function method

Transition zones in railway tracks are areas with considerable variation of track properties (e.g., foundation stiffness) which may cause strong amplification of the response, leading to rapid degradation of the track geometry. Two possible indicators of degradation in the supporting structure are identified, namely the wheel-rail contact...

Transition radiation in a piecewise-linear and infinite one-dimensional structure–a Laplace transform method

Transition zones in railway tracks are areas with considerable variation of track properties (i.e., foundation stiffness) encountered near structures such as bridges and tunnels. Due to strong amplification of the response, transition zones require frequent maintenance. To better understand the underlying degradation mechanisms, a one...

Wave reflection at the interface between a nonlinear discrete lattice and a matching linear system

This contribution considers the wave reflection at the interface between a discrete lattice that describes the nonlinear near-field response to a dynamic load and a matching system that describes the linear far-field response. The near-field system is modelled as a one-dimensional discrete system of particles that is capable of describing...