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Semi-analytical finite-element analysis for free and forced wave propagation using COMSOL and LiveLink for Matlab

Semi-analytical finite-element analysis for free and forced wave propagation using COMSOL and LiveLink for Matlab
Semi-analytical finite-element analysis for free and forced wave propagation using COMSOL and LiveLink for Matlab
The Semi-Analytical Finite-Element (SAFE) method represents one of the most established numerical approaches for predicting the propagation of elastic waves in one-dimensional structures of arbitrary cross-sections. Its implementation in the commercial finite-element software COMSOL Multiphysics has been proposed in recent years; however, it is limited to only the free wave propagation for computing dispersion curves. To overcome this limitation, this paper proposes an extension of this approach that combines COMSOL and its Livelink for Matlab tool. This enables the extraction from COMSOL of the assembled mass and stiffness SAFE matrices to solve problems of both free and forced wave propagation in the Matlab environment. The resulting customised software takes
advantage of both the potential of commercial FE software and the power of Matlab without worrying about compatibility issues. A model of a simply supported plate strip and that of a more complex geometry are implemented to validate, respectively, the SAFE matrix extraction procedure and the implemented forced response formulation. The results agree well with corresponding analytical and numerical results validating the proposed implementation of the SAFE method.
Non-destructive evaluation (NDE), forced wave propagation, semi-analytical finite element (SAFE) method, structural health monitoring (SHM), non-destructive evaluation techniques, semi-analytical finite-element (SAFE) method
2571-631X
359-374
Raffaele, Davide
8a03166d-36ef-4b27-98ce-dfb57eb2237d
Rustighi, Emiliano
5a1ee1ba-e929-4008-a3cc-d76f41173a56
Waters, Tim
348d22f5-dba1-4384-87ac-04fe5d603c2f
Raffaele, Davide
8a03166d-36ef-4b27-98ce-dfb57eb2237d
Rustighi, Emiliano
5a1ee1ba-e929-4008-a3cc-d76f41173a56
Waters, Tim
348d22f5-dba1-4384-87ac-04fe5d603c2f

Raffaele, Davide, Rustighi, Emiliano and Waters, Tim (2023) Semi-analytical finite-element analysis for free and forced wave propagation using COMSOL and LiveLink for Matlab. Vibration, 6 (2), 359-374. (doi:10.3390/vibration6020022).

Record type: Article

Abstract

The Semi-Analytical Finite-Element (SAFE) method represents one of the most established numerical approaches for predicting the propagation of elastic waves in one-dimensional structures of arbitrary cross-sections. Its implementation in the commercial finite-element software COMSOL Multiphysics has been proposed in recent years; however, it is limited to only the free wave propagation for computing dispersion curves. To overcome this limitation, this paper proposes an extension of this approach that combines COMSOL and its Livelink for Matlab tool. This enables the extraction from COMSOL of the assembled mass and stiffness SAFE matrices to solve problems of both free and forced wave propagation in the Matlab environment. The resulting customised software takes
advantage of both the potential of commercial FE software and the power of Matlab without worrying about compatibility issues. A model of a simply supported plate strip and that of a more complex geometry are implemented to validate, respectively, the SAFE matrix extraction procedure and the implemented forced response formulation. The results agree well with corresponding analytical and numerical results validating the proposed implementation of the SAFE method.

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Accepted/In Press date: 29 March 2023
Published date: June 2023
Additional Information: Funding Information: The authors are grateful to Ultra Electronics for their financial support. Publisher Copyright: © 2023 by the authors.
Keywords: Non-destructive evaluation (NDE), forced wave propagation, semi-analytical finite element (SAFE) method, structural health monitoring (SHM), non-destructive evaluation techniques, semi-analytical finite-element (SAFE) method

Identifiers

Local EPrints ID: 476480
URI: http://eprints.soton.ac.uk/id/eprint/476480
ISSN: 2571-631X
PURE UUID: f7855560-d6d3-4072-8ef2-fb56a433d86c
ORCID for Davide Raffaele: ORCID iD orcid.org/0000-0001-9131-7262

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Date deposited: 03 May 2023 17:43
Last modified: 17 Mar 2024 01:36

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Contributors

Author: Davide Raffaele ORCID iD
Author: Emiliano Rustighi
Author: Tim Waters

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