Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances

The possibilities of an effective method of two adjacent signals are investigated for the evaluation of Lamb waves phase velocity dispersion in objects of different types, namely polyvinyl chloride (PVC) film and wind turbine blade (WTB). A new algorithm based on peaks of spectrum magnitude is prese...

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Autores principales:	Lina Draudvilienė, Olgirdas Tumšys, Renaldas Raišutis
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	ultrasonic Lamb wave non-destructive testing non-homogeneous material signal processing Lamb wave phase velocity dispersion curve reconstruction Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
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spelling	oai:doaj.org-article:85b9225f0d6541459afd3248234c7b3b2021-11-25T18:15:30ZReconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances10.3390/ma142269901996-1944https://doaj.org/article/85b9225f0d6541459afd3248234c7b3b2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/22/6990https://doaj.org/toc/1996-1944The possibilities of an effective method of two adjacent signals are investigated for the evaluation of Lamb waves phase velocity dispersion in objects of different types, namely polyvinyl chloride (PVC) film and wind turbine blade (WTB). A new algorithm based on peaks of spectrum magnitude is presented and used for the comparison of the results. To use the presented method, the wavelength-dependent parameter is proposed to determine the optimal distance range, which is necessary in selecting two signals for analysis. It is determined that, in the range of 0.17–0.5 wavelength where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub></mrow></semantics></math></inline-formula> is not higher than 5%, it is appropriate to use in the case of an A<sub>0</sub> mode in PVC film sample. The smallest error of 1.2%, in the distance greater than 1.5 wavelengths, is obtained in the case of the S<sub>0</sub> mode. Using the method of two signals analysis for PVC sample, the phase velocity dispersion curve of the A<sub>0</sub> mode is reconstructed using selected distances <i>x</i><sub>1</sub> = 70 mm and <i>x</i><sub>2</sub> = 70.5 mm between two spatial positions of a receiving transducer with a mean relative error <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>2.8</mn><mo>%</mo></mrow></semantics></math></inline-formula>, and for S<sub>0</sub> mode, <i>x</i><sub>1</sub> = 61 mm and <i>x</i><sub>2</sub> = 79.7 mm with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>0.99</mn><mo>%</mo></mrow></semantics></math></inline-formula>. In the case of the WTB sample, the range of 0.1–0.39 wavelength, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub></mrow></semantics></math></inline-formula> is not higher than 3%, is determined as the optimal distance range between two adjacent signals. The phase velocity dispersion curve of the A<sub>0</sub> mode is reconstructed in two frequency ranges: first, using selected distances <i>x</i><sub>1</sub> = 225 mm and <i>x</i><sub>2</sub> = 231 mm with mean relative error <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>0.3</mn><mo>%</mo></mrow></semantics></math></inline-formula>; and second, <i>x</i><sub>1</sub> = 225 mm and <i>x</i><sub>2</sub> = 237 mm with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>1.3</mn><mo>%</mo></mrow></semantics></math></inline-formula>.Lina DraudvilienėOlgirdas TumšysRenaldas RaišutisMDPI AGarticleultrasonic Lamb wavenon-destructive testingnon-homogeneous materialsignal processingLamb wave phase velocitydispersion curve reconstructionTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6990, p 6990 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	ultrasonic Lamb wave non-destructive testing non-homogeneous material signal processing Lamb wave phase velocity dispersion curve reconstruction Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	ultrasonic Lamb wave non-destructive testing non-homogeneous material signal processing Lamb wave phase velocity dispersion curve reconstruction Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Lina Draudvilienė Olgirdas Tumšys Renaldas Raišutis Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances
description	The possibilities of an effective method of two adjacent signals are investigated for the evaluation of Lamb waves phase velocity dispersion in objects of different types, namely polyvinyl chloride (PVC) film and wind turbine blade (WTB). A new algorithm based on peaks of spectrum magnitude is presented and used for the comparison of the results. To use the presented method, the wavelength-dependent parameter is proposed to determine the optimal distance range, which is necessary in selecting two signals for analysis. It is determined that, in the range of 0.17–0.5 wavelength where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub></mrow></semantics></math></inline-formula> is not higher than 5%, it is appropriate to use in the case of an A<sub>0</sub> mode in PVC film sample. The smallest error of 1.2%, in the distance greater than 1.5 wavelengths, is obtained in the case of the S<sub>0</sub> mode. Using the method of two signals analysis for PVC sample, the phase velocity dispersion curve of the A<sub>0</sub> mode is reconstructed using selected distances <i>x</i><sub>1</sub> = 70 mm and <i>x</i><sub>2</sub> = 70.5 mm between two spatial positions of a receiving transducer with a mean relative error <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>2.8</mn><mo>%</mo></mrow></semantics></math></inline-formula>, and for S<sub>0</sub> mode, <i>x</i><sub>1</sub> = 61 mm and <i>x</i><sub>2</sub> = 79.7 mm with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>0.99</mn><mo>%</mo></mrow></semantics></math></inline-formula>. In the case of the WTB sample, the range of 0.1–0.39 wavelength, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub></mrow></semantics></math></inline-formula> is not higher than 3%, is determined as the optimal distance range between two adjacent signals. The phase velocity dispersion curve of the A<sub>0</sub> mode is reconstructed in two frequency ranges: first, using selected distances <i>x</i><sub>1</sub> = 225 mm and <i>x</i><sub>2</sub> = 231 mm with mean relative error <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>0.3</mn><mo>%</mo></mrow></semantics></math></inline-formula>; and second, <i>x</i><sub>1</sub> = 225 mm and <i>x</i><sub>2</sub> = 237 mm with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><msub><mi>c</mi><mrow><mi>p</mi><mi>h</mi></mrow></msub></mrow></msub><mo>=</mo><mn>1.3</mn><mo>%</mo></mrow></semantics></math></inline-formula>.
format	article
author	Lina Draudvilienė Olgirdas Tumšys Renaldas Raišutis
author_facet	Lina Draudvilienė Olgirdas Tumšys Renaldas Raišutis
author_sort	Lina Draudvilienė
title	Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances
title_short	Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances
title_full	Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances
title_fullStr	Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances
title_full_unstemmed	Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances
title_sort	reconstruction of lamb wave dispersion curves in different objects using signals measured at two different distances
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/85b9225f0d6541459afd3248234c7b3b
work_keys_str_mv	AT linadraudviliene reconstructionoflambwavedispersioncurvesindifferentobjectsusingsignalsmeasuredattwodifferentdistances AT olgirdastumsys reconstructionoflambwavedispersioncurvesindifferentobjectsusingsignalsmeasuredattwodifferentdistances AT renaldasraisutis reconstructionoflambwavedispersioncurvesindifferentobjectsusingsignalsmeasuredattwodifferentdistances
_version_	1718411448818860032

Reconstruction of Lamb Wave Dispersion Curves in Different Objects Using Signals Measured at Two Different Distances

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