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Tuesday, July 9 • 16:30 - 16:50
Extension of the non-locally reacting model based on the Transfer Matrix Method to cylindrical sound packages

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This paper presents an extension of the non-locally reacting (NLR) model based on the Transfer Matrix Method (TMM) to cylindrical noise control treatment (NCT). The NLR-TMM model is based on an integral formulation that uses a set of Green functions (fundamental solutions) of the NCT. The latter is assumed to be homogeneous, flat and laterally unbounded. Under these conditions, the TMM is employed in order to estimate the Green functions. Such simplification may be justified by the large dissipation and the softness of the materials usually involved in the NCT. A nodal mesh is used to discretize the trimmed surface of the SP and a geodesic distance between nodes is defined in order to respect the helical patterns of the propagating waves inside the cylindrical NCT. The proposed model of the NCT is combined with a Finite Element model (FEM) of the structure and cavity in a Patch Transfer Functions framework. A trimmed cylindrical shell excited by a point force and coupled to an acoustic cavity is used in order to validate the proposed model. The employed NCT is made of a melamine foam layer and a mass-layer. The results are systematically compared with a full FEM model. It is observed that the inherent unwrapped approximation used to estimate the Green functions has a negligible effect on the accuracy of the proposed model. This indicates that the curvature is mainly governed by the structure. Moreover, the limitations of the locally reacting models are also pointed out.

avatar for Simon Jones

Simon Jones

Associate Professor, Rose-Hulman Institute of Technology
Professional interests include undergraduate engineering education, finite element modeling, ground-borne vibrations, vibrations of musical instruments, and dynamics of toys.

Guilhem Michon



Tuesday July 9, 2019 16:30 - 16:50 EDT
St-Laurent 7
  T07 Struct. dyn. & nonlin. vib., RS03 Struct ac & vibr