Sound Propagation Analysis on Sonic Crystal Elastic Structures using the Method of Fundamental Solutions (MFS)
P.G. Santos, J. Carbajo, L. Godinho and J. Ramis

doi:10.3970/cmc.2014.043.109
Source CMC: Computers, Materials & Continua, Vol. 43, No. 2, pp. 109-136, 2014
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Keywords Sonic Crystal, Solid-Fluid System, Noise Attenuation Barriers, MFS.
Abstract The study of periodic structures, namely sonic crystals, for sound attenuation purposes has been a topic of intense research in the last years. Some efficient methods are available in literature to solve the problem of sound propagation in the presence of this kind of structures such as those based in the Multiple Scattering Theory (MST) or the Finite Element Method (FEM). In this paper a solution based on the Method of Fundamental Solutions (MFS) which presents advantages, namely in computational discretization and calculation costs, is presented. The proposed formulation considers the presence of elastic ring shaped scatterers, correctly accounting for their interaction with the host fluid. The model accuracy is tested by comparing it to FEM in an exemplificative case. A set of numerical examples is then presented and the results compared with the ones given by a MFS approach where the structure is considered as rigid. The results showed that in the case of low-contrasting between solid/fluid properties, the elastic behavior of the structure could not be neglected.
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