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Theoretical and Experimental Analysis of the Group Velocity for Lamb Wave on Unidirectional Composite Plates

Theoretical and Experimental Analysis of the Group Velocity for Lamb Wave on Unidirectional... In structural health monitoring, the damage detection method using Lamb wave has been actively performed for composite laminates. It is hard to apply the Lamb wave to composite laminate because of its dispersion and multi-mode characteristics. This paper derived the dispersion equation for a single layer assuming monoclinic to calculate more accurate group velocity. Furthermore, the general solution for wave propagation is assumed that the wavenumber vector considers the displacements in three directions. Using the transfer matrix method with the slowness curve, the Lamb wave behavior for a single layer is extended to the composite laminate. By solving the matrix equation, the group velocity is theoretically calculated. For comparison with the theoretical results, an experimental test has been performed on the unidirectional composite plates with 12ply and 16ply. As a result, it has been confirmed that the theoretical and the experimental group velocities are well-matched except for the fiber direction (0°) because of the monoclinic and wavenumber assumption. An error analysis of the experimental and theoretical values has been performed for the fiber direction. It is concluded that a compensation method for group velocity in the fiber direction is needed for damage detection using the Lamb wave in unidirectional composite plate. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Aeronautical and Space Sciences Springer Journals

Theoretical and Experimental Analysis of the Group Velocity for Lamb Wave on Unidirectional Composite Plates

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References (20)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to The Korean Society for Aeronautical & Space Sciences 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
2093-274X
eISSN
2093-2480
DOI
10.1007/s42405-023-00624-1
Publisher site
See Article on Publisher Site

Abstract

In structural health monitoring, the damage detection method using Lamb wave has been actively performed for composite laminates. It is hard to apply the Lamb wave to composite laminate because of its dispersion and multi-mode characteristics. This paper derived the dispersion equation for a single layer assuming monoclinic to calculate more accurate group velocity. Furthermore, the general solution for wave propagation is assumed that the wavenumber vector considers the displacements in three directions. Using the transfer matrix method with the slowness curve, the Lamb wave behavior for a single layer is extended to the composite laminate. By solving the matrix equation, the group velocity is theoretically calculated. For comparison with the theoretical results, an experimental test has been performed on the unidirectional composite plates with 12ply and 16ply. As a result, it has been confirmed that the theoretical and the experimental group velocities are well-matched except for the fiber direction (0°) because of the monoclinic and wavenumber assumption. An error analysis of the experimental and theoretical values has been performed for the fiber direction. It is concluded that a compensation method for group velocity in the fiber direction is needed for damage detection using the Lamb wave in unidirectional composite plate.

Journal

International Journal of Aeronautical and Space SciencesSpringer Journals

Published: Jan 1, 2024

Keywords: Structural health monitoring; Lamb wave; Propagation; Group velocity; Unidirectional composite; Transfer matrix method

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