TY - JOUR A1 - Höhne, Christian A1 - Prager, Jens A1 - Gravenkamp, Hauke T1 - Computation of dispersion relations for axially symmetric guided waves in cylindrical structures by means of a spectral decomposition method N2 - In this paper, a method to determine the complex dispersion relations of axially symmetric guided waves in cylindrical structures is presented as an alternative to the currently established numerical procedures. The method is based on a spectral decomposition into eigenfunctions of the Laplace operator on the cross-section of the waveguide. This translates the calculation of real or complex wave numbers at a given frequency into solving an eigenvalue problem. Cylindrical rods and plates are treated as the asymptotic cases of cylindrical structures and used to generalize the method to the case of hollow cylinders. The presented method is superior to direct root-finding algorithms in the sense that no initial guess values are needed to determine the complex wave numbers and that neither starting at low frequencies nor subsequent mode tracking is required. The results obtained with this method are shown to be reasonably close to those calculated by other means and an estimate for the achievable accuracy is given. KW - Guided waves KW - Numerical method KW - Spectral decomposition KW - Dispersion KW - Cylinders PY - 2015 DO - https://doi.org/10.1016/j.ultras.2015.06.011 SN - 0041-624x VL - 63 SP - 54 EP - 64 PB - Elsevier B.V. CY - Amsterdam AN - OPUS4-31946 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -