Novel algorithm for the computation of group and energy velocities of Lamb waves
Applied Physics
2022-05-27 v2
Abstract
A new solution strategy for quadratic eigenvalue problems, and the derivatives of the eigenvalues, is proposed, by combining the generalized reduction method with dual numbers. To demonstrate the method, we use the quadratic eigenvalue problem encountered in the semi-analytical finite element method (SAFE) as a guiding example. The SAFE method is designed to calculate the spectrum of Lamb wave phase, group and energy velocities in (visco)elastic orthotropic media, over a wide frequency range. It was found that the new approach essentially doubles the computational speed and efficiency, without sacrificing accuracy.
Keywords
Cite
@article{arxiv.2205.11390,
title = {Novel algorithm for the computation of group and energy velocities of Lamb waves},
author = {Adil Han Orta and Martin Roelfs and Koen Van Den Abeele},
journal= {arXiv preprint arXiv:2205.11390},
year = {2022}
}
Comments
5 pages, 1 figure