Obtaining Dispersion Curves of Damped Waves by Employing Semi Analytical Finite Element Formulation

Semi-analytical finite element (SAFE) method is used for modelling propagation of elastic waves in waveguides of cross-sections uniform along the propagation direction. Dispersion curves, which express the relation between the circular frequency and the wavenumber of propagating wave were obtained. Linear proportional damping of propagating waves is taken into account. The results of simulation have been compared with theoretical and experimental data available in the literature.