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Description
Thick anisotropic laminated panels exhibit complex vibro-acoustic behavior in which not only direction-dependent material properties, but also shear and cross-sectional deformations, play a crucial role. These effects are not adequately captured by (equivalent) plate theories and instead require a full three-dimensional elasticity analysis. Although modeling approaches such as the transfer matrix method (TMM) and the wave finite element method have advanced the field, they can suffer from numerical ill-conditioning and computational cost issues, respectively. In addition, finite-size effects and the associated modal behavior of panels have received limited attention. This work presents a methodology that alleviates those limitations. It rests on the construction of the exact impedance matrix of an anisotropic layer in the frequency-wavenumber domain, which is significantly simplified by avoiding the Helmholtz decomposition of the displacement field. The response of a finite-sized panel itself is obtained by analyzing the corresponding infinite panel under anti-symmetric loading conditions, while the radiated sound power is computed directly in the frequency-wavenumber domain. The proposed method is shown to be computationally efficient, numerically robust, and accurate, as demonstrated through validation examples involving cross-laminated timber panels.