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The ability to analyse attenuation rates of individual wave fields along rough media using the effective wave field is investigated for the problem of a string with continuous, randomly varying properties. A clustering method is developed to approximate the continuous problem as a discrete problem, which provides insights into the relationship betw...
Waves attenuate with distance travelled into rough and randomly disordered media. This is reminiscent of the wave localisation phenomenon, which is a product of wave scattering and occurs in many branches of wave science. Wave localisation refers here to exponential attenuation (on average) of waves in rough media. In this work, the attenuation of...
Two methods for computing the complex-valued effective wavenumber of a rough beam in the context of linear time-harmonic theory are presented. The roughness of the beam is modelled as a continuous random process of known characteristic length and root-mean-square amplitude for either the beam mass or the beam rigidity. The first method is based on...