Elastic waves in cylindrical waveguides of arbitrary cross section

We consider wave propagation in slender elastic waveguides. With aim at finding all vibration modes of such bodies, we develop a theoretical framework for application of energy principles and subsequent discretization of the problem using the finite-element method. We obtain a discrete set of solutions for propagating and evanescent branches and we examine the solution behavior in some detail. Finally, we compare the results with the analytic solutions of Pochhammer-Chree equations and conduct an accuracy and convergence study, determining the combination of mesh parameters and frequency regimes for which our code yields accurate results.published or submitted for publicationis peer reviewe