A coupled SAFE-BEM formulation for dispersion data extraction of leaky guided waves in waveguides of arbitrary cross-section

M. Mazzotti; A. Marzani; I. Bartoli; E. Viola

doi:10.1117/12.2009423

17 April 2013 A coupled SAFE-BEM formulation for dispersion data extraction of leaky guided waves in waveguides of arbitrary cross-section

M. Mazzotti, A. Marzani, I. Bartoli, E. Viola

Author Affiliations +

Proceedings Volume 8695, Health Monitoring of Structural and Biological Systems 2013; 86951T (2013) https://doi.org/10.1117/12.2009423
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2013, San Diego, California, United States

Abstract

The increasing applications of guided waves in the field of ultrasonic Non-destructive Evaluation (NDE) testing leads to the necessity of a mathematical tool able to extract dispersive data for waveguides of general geometrical and mechanical characteristics. Well stated analytical and numerical methods are represented, respectively, by the Matrix family methods and the Semi Analytical Finite Element (SAFE) methods. However, while the former are generally limited to simple geometries, the latter are usually not efficient in problems involving energy losses due to leakage of bulk waves. In this paper, a coupled SAFE-BEM formulation is proposed for the dispersion data extraction of leaky guided waves propagating in waveguides of arbitrary cross-section. To this end, the SAFE is used to efficiently model both the mechanical and geometrical characteristics of the waveguide, while the BEM is used to represent the external (unbounded) isotropic domain. Complex geometries with boundary corners, as well as Cauchy singular integrals typically involved in BEM formulations, are treated using a regularization procedure. The final equation for the wave propagation problem is configured as a nonlinear eigenvalue problem in which the complex wavenumbers appear implicitly. This problem is efficiently solved by means of a Contour Integral Algorithm, that does not require initial guesses of the solutions and derivative operations, providing at the same time good performances in parallelized environments. The reliability of the proposed method is demonstrated by means of a numerical application of practical interest.

Citation Download Citation

M. Mazzotti, A. Marzani, I. Bartoli, and E. Viola "A coupled SAFE-BEM formulation for dispersion data extraction of leaky guided waves in waveguides of arbitrary cross-section", Proc. SPIE 8695, Health Monitoring of Structural and Biological Systems 2013, 86951T (17 April 2013); https://doi.org/10.1117/12.2009423

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
14 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Waveguides

Dispersion

Interfaces

Signal attenuation

Wave propagation

Phase velocity

Nondestructive evaluation

Show All Keywords

Keywords/Phrases

Search In:

Publication Years