Guided Wave Propagation in Complex Curved Waveguides I: Method Introduction and Verification

TL;DR

This paper introduces a phenomenological method for analyzing elastic guided wave propagation in complex curved waveguides, verified against existing solutions, and extends understanding through new analytical relations and excitation techniques.

Contribution

It develops a new phenomenological approach for complex curved waveguides, deriving analytical relations and proposing a novel excitation method for flexural modes.

Findings

Method verified against Helmholtz decomposition solutions

Derived new analytical relations for phase velocity dispersion

Proposed and examined a new excitation method for flexural modes

Abstract

A phenomenological method is developed to consider elastic guided wave propagation in complex curved waveguides. The theory on guided wave propagation in hollow circular cylinders is used in order to verify the method. The results are compared with solutions obtained by the Helmholtz decomposition method. The method given here is used to derive new analytical relations for torsional and longitudinal phase velocity dispersion curves. In addition, a new excitation method is proposed and examined for flexural modes. Some conceptual results and applications of the method are discussed.