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 beam discretely supported by nonlinear springs and dashpots

Transition radiation is emitted when a source moves along a straight line with constant velocity and acts on or near an inhomogeneous medium [1]. It occurs, for example, when trains cross areas with substantial variation of track properties (e.g., foundation stiffness) encountered near rigid structures such as bridges; these areas are called...

The effect of hydrodynamics on the interaction between floating structures and flexible ice floes: A study based on potential theory

The Arctic presents a great opportunity for two major industries. First, since the region is expected to contain a significant amount of hydrocarbon reserves, it is very attractive for the oil and gas industry. Second, the receding extent of sea ice is making the region more accessible for shipping and, therefore, an opportunity is emerging for...

An effective fluid model for the bending failure of level ice

In this paper, the efficacy of an effective fluid model (EFM) is studied for replicating the effects that hydrodynamics has on the interaction between level ice, modeled as a semi-infinite Kirchhoff-Love plate, and a downward sloping structure, modeled as a rigid and immobile body. The proposed EFM is based on a distributed frequency-independent...

The effect of hydrodynamics on the bending failure of level ice

In this paper, the bending failure of level ice caused by the interaction with a downward sloping structure is studied in 2D. The focus is on the effect of hydrodynamics on the interaction. This study is done by comparing the predictions of a model that includes both hydrostatics and hydrodynamics with one that only includes hydrostatics.<br/...

The influence of level ice on the frequency domain response of floaters

In this paper the effect of a nearby, semi-infinite, level ice sheet on the frequency domain response of a thin, floating, rigid body is studied using a 2D model. The ice is modeled using a dynamic Euler-Bernoulli beam and the finite depth water layer is described with the Laplace equation and the linearized Bernoulli equation. Eigenfunction...

A simple numerical model of a geometrically nonlinear Timoshenko beam

In the original problem for which this model was developed, onedimensional flexible objects interact through a non-linear contact model. Due to the non-linear nature of the contact model, a numerical time-domain approach was adopted. One of the goals was to see if the coupling between axial and transverse deformations had an influence on the...

An efficient method for computing the time domain response of a floating ice block including hydrodynamics

When studying the dynamics of ice-structure interaction, hydrodynamic effects are often ignored to simplify the model. One of the challenges associated with the introduction of the hydrodynamic forces is that those introduce frequency dependent added mass and damping into the system. In order to include these two components in a time domain...