localisation

In this paper, we discuss two problems concerning scattering and localisation of flexural waves in structured elastic plates. Firstly, we compare the scattering amplitudes of waves in a thin plate, generated by a point source, due to a single mass and to a large number of smaller masses, having the same equivalent mass and located around a circle. We show that in the second case, the scattering can be reduced, in particular in the medium- and high-frequency regimes.

The paper presents a novel analysis of localisation and transmission properties of randomly-perturbed flexural systems. Attention is given to the study of propagation regimes and the connection with localised resonance modes in the context of Anderson's localisation. The analytical study is complemented with numerical simulations relevant to the design of efficient vibration isolation systems.

Eigenvalues, reflected and transmitted energy, localisation factors for the examined bi-coupled random system:

In this paper, we investigate the formation of band-gaps and localisation phenomena in an elastic strip nearly disintegrated by an array of transverse cracks. We analyse the eigenfrequencies of finite, strongly damaged, elongated solids with reference to the propagation bands of an infinite strip with a periodic damage. Subsequently, we determine analytically the band-gaps of the infinite strip by using a lower-dimensional model, represented by a periodically-damaged beam in which the small ligaments between cracks are modelled as ‘elastic junctions’.

Dear colleagues,

I would like to bring to your attention the advanced course on Modeling of localized inelastic deformation that will be taught by Milan Jirasek in Prague, Czech Republic on 15-19 September 2014. More detailed information on the course is posted at http://mech.fsv.cvut.cz/~milan/course2014.html. We are looking forward to seeing you in Prague!