Abstract

Abstract The early detection of failures in structures is a subject of great interest in engineering; several of these techniques are linked with the elastic wave propagation, using guided waves is one of these alternatives. Several structures of interest in engineering are laminar arrangements; the wave propagation in this type of structures depends not only on the material properties, but also on the geometric parameters, such as the plate thickness. Tubular structures, pressure vessels, tanks and also parts of ships hulls could be considered laminar. The elastic wave propagation in laminar structures could be considered as a sum of modal shapes that have its wave length and frequencies defined. These mode families are characteristics of each structure and could be represented through the dispersion curves. The definition of these dispersion curves is of crucial importance to understand the propagation of guided waves in the structure studied. In the present work the dispersion curves were generated using three different methodologies, specific for metallic rectangular stems that compound the strengthening armor in flexible riser duct. Each approach presented in the analysis were carried out using standard finite element commercial packages and an experimental verification, as well. The premise is to present the topics in the simplest way, not only to understand how the dispersion curves are built but also how these curves must be interpreted.

Highlights

  • There are different ways to detect defects in metallic structures

  • During the work it was possible to conclude that: - It was taken as premise to present the concept related with wave guide in the simplest way possible, to turn the present paper easy to understand for non specialized community in the wave propagation topics. - The three methodologies applied to compute the dispersion curves in the metallic stem presented coherence . - In all the Finite elements models used, the level of discretization was enough to obtain good results, according to Marburg & Nolte (2008)

  • The comparison among them was done taking into account other aspects, for instance: automatization, method facilities, and the mode visualization characteristics. - The three semi-analytical finite element method (SAFE) Methods presented coherence when applied in the construction of the dispersion curves of a bar with rectangular section guide wave in the frequency interval [0,100KHz]

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Summary

INTRODUCTION

There are different ways to detect defects in metallic structures They are always of great potential in engineering, especially in structures, where a failure is linked to catastrophic scenarios like pressurized structures for example. In this context, the guided waves are presented as a non-destructive technique (NDT). In the present work different numerical approaches are shown to compute the dispersion curves which permit characterizing the wave propagation in the geometry studied, i. An experimental test is shown, with the aim to verify the consistency of the theoretical results obtained

THEORETICAL FOUNDATIONS
Wave propagation in a rod
Dispersion curves of isotropic and elastic structures with finite dimension
SAFE METHODS APPLICABLE TO RECTANGULAR GUIDED WAVES
Comparison among the methods to compute the dispersion curves
Numerical Verification
Experimental validation
CONCLUSIONS
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