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Article Dans Une Revue Acta Acustica united with Acustica Année : 2016

Wave Finite Element Formulation of the Acoustic Transmission Through Complex Infinite Plates

Résumé

A finite element-based derivation of the transmission loss (TL) of anisotropic layered infinite plates is presented in this paper. The wave-finite element method (WFE) is used to represent the plate with a finite element model of a single unit cell. The incident acoustic field is a known plane wave, and the reflected and transmitted pressures are supposed to be plane waves with unknown amplitudes and phases. The periodicity conditions on the unit cell allow to find a simple matrix equation linking the amplitudes of the transmitted and reflected fields as a function of the incident one. This approach is validated for several cases against classical analytical models for thin plates and sandwich constructions, where the results agree perfectly for a reasonable mesh size. The method is then used to study the effect of stacking order in a laminated composite plate. The main interest of the method is the use of finite elements, which enables a relative easy modelling since most packages readily include different formulations, compared to analytical models, where different formulations have to be implemented for every kind of material.
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hal-01716013 , version 1 (03-11-2020)

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Jean-Loup Christen, Mohamed Ichchou, Abdelmalek Zine, Bernard Troclet. Wave Finite Element Formulation of the Acoustic Transmission Through Complex Infinite Plates. Acta Acustica united with Acustica, 2016, 102 (6), pp.984-991. ⟨10.3813/AAA.919013⟩. ⟨hal-01716013⟩
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