NURBS-enriched semi-analytical finite element method (SAFE) for calculation of wave dispersion in heterogeneous waveguides

Fakhraddin Seyfaddini (1) , Vu-Hieu Nguyen (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

In this work a semi analytical finite element formulation using Non-Uniform Rational B-Splines (NURBS) basis function is presented for modeling the dispersed wave propagation in heterogeneous waveguides. Convergence studies are carried out by considering a 2D constant-thickness isotropic elastic plate. The results were compared with the ones obtained by analytical methods and by conventional SAFE method. For all of cases, the dispersion curves evaluated by using enriched-NURBS basis have a significant better precision than using conventional Lagrangian elements (for the same number of degrees of freedom).

Mots clés: Isogeometric analysis; NURBS basis; Semi analytical finite element; Guided waves; Dispersion; Elastic plate; IGA; SAFE

Domaines: Acoustique [physics.class-ph]; Vibrations [physics.class-ph]

Fakhraddin Seyfaddini, Vu-Hieu Nguyen. NURBS-enriched semi-analytical finite element method (SAFE) for calculation of wave dispersion in heterogeneous waveguides. 24e Congrès Français de Mécanique, Aug 2019, Brest, France. ⟨hal-02471811⟩