Title
Error analysis and reliability of zero-order Lamb mode inversion for waveguide characterization
Author
Sabbadini, A.
Massaad, J.
van Neer, P.L.M.J.
de Jong, N.
Verweij, M.D.
Publication year
2022
Abstract
In recent years, several fitting techniques have been presented to reconstruct the parameters of a plate from its Lamb wave dispersion curves. Published studies show that these techniques can yield high accuracy results and have the potential of reconstructing several parameters at once. The precision with which parameters can be reconstructed by inverting Lamb wave dispersion curves, however, remains an open question of fundamental importance to many applications. In this work, we introduce a method of analyzing dispersion curves that yields quantitative information on the precision with which the parameters can be extracted. In our method, rather than employing error minimization algorithms, we compare a target dispersion curve to a database of theoretical ones that covers a given parameter space. By calculating a measure of dissimilarity (error) for every point in the parameter space, we reconstruct the distribution of the error in that space, beside the location of its minimum. We then introduce dimensionless quantities that describe the distribution of this error, thus yielding information about the spread of similar curves in the parameter space. We demonstrate our approach by considering both idealized and realistic scenarios, analyzing the dispersion curves obtained numerically for a plate and experimentally for a pipe. Our results show that the precision with which each parameter is reconstructed depends on the mode used, as well as the frequency range in which it is considered
Subject
Lamb wave
Multi-parameter inversion
Non-destructive testing
Sensitivity
Curve fitting
Dispersion (waves)
Errors
Parameter estimation
Reliability analysis
Sensitivity analysis
Surface waves
Ultrasonic waves
Dispersion curves
Lamb modes
Lamb wave
Multi-parameter inversion
Multiparameters
Parameter spaces
Parameters inversion
Wave dispersion
Zero order
Nondestructive examination
quantitative analysis
reliability
theoretical study
To reference this document use:
http://resolver.tudelft.nl/uuid:72a3a33a-eb92-4cdc-9f42-3abbfdca41de
TNO identifier
967450
ISSN
0041-624X
Source
Ultrasonics, 123 (123)
Document type
article