Abstract
A multiresolution finite wavelet domain method, that utilizes Daubechies wavelet and scaling functions for the hierarchical approximation of state variables, is presented. The multiresolution approximation yields a hierarchical set of equations of motion involving the coarse component of generalized displacements, while additional equations of finer components are subsequently added. A coarse solution is first calculated, and finer solutions can be sequentially superimposed on the coarse solution until convergence to the final solution is achieved. Moreover, it is shown that each resolution can model specific bandwidths of wavenumbers, thus providing a unique capability to separate coexisting wave modes and detect converted and reflected waves in the presence of damage. Two wavelet-based beam elements are explored, the first encompasses the Timoshenko shear beam theory and the second a high-order layerwise laminate theory for the accurate prediction of both symmetric and antisymmetric guided waves. Numerical results illustrate the inherent property of the method to a priori localize and isolate coexisting guided wave modes and their conversions, induced by different material regions and weak or debonded layer interfaces, thus demonstrating the method’s intrinsic capabilities towards the design of wave-based SHM systems.
Original language | English |
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Title of host publication | European Workshop on Structural Health Monitoring, EWSHM 2022, Volume 3 |
Editors | Piervincenzo Rizzo, Alberto Milazzo |
Publisher | Springer |
Pages | 89-99 |
Number of pages | 11 |
ISBN (Print) | 978-3-031-07321-2 |
DOIs | |
Publication status | Published - 2023 |
Event | 10th European Workshop on Structural Health Monitoring, EWSHM 2022 - Palermo, Italy Duration: 4 Jul 2022 → 7 Jul 2022 |
Publication series
Name | Lecture Notes in Civil Engineering |
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Volume | 270 LNCE |
ISSN (Print) | 2366-2557 |
ISSN (Electronic) | 2366-2565 |
Conference
Conference | 10th European Workshop on Structural Health Monitoring, EWSHM 2022 |
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Country/Territory | Italy |
City | Palermo |
Period | 4/07/22 → 7/07/22 |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-careOtherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
Keywords
- Composite beams
- Damage detection
- Daubechies wavelets
- Guided waves
- Multiresolution analysis
- Transient analysis