On Dispersion Set Analysis for an Inhomogeneous Orthotropic Elastic Waveguide

The problem of wave propagation in an elastic orthotropic inhomogeneous cylindrical waveguide with an arbitrary cross-section is considered. Dispersion dependences are constructed numerically based on a weak statement using finite element method. Asymptotics of dispersion branches in the vicinity of cut-off frequencies are also constructed. Positive definiteness of the main operator of the problem is proved. A series of computational experiments are carried out.