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Semi-analytical finite element method for modeling of lamb wave propagation

bin Ahmad, Zair Asrar and Vivar-Perez, Juan Miguel and Gabbert, Ulrich (2013) Semi-analytical finite element method for modeling of lamb wave propagation. CEAS Aeronautical Journal, 4 (1), pp. 21-33. Springer. DOI: 10.1007/s13272-012-0056-6 ISSN 1869-5582

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Official URL: http://link.springer.com/article/10.1007%2Fs13272-012-0056-6

Abstract

Lamb wave propagation in plates is multi-modal, dispersive and highly dependent on the material properties. In homogeneous isotropic plates, Lamb modes can be grouped into symmetric and anti-symmetric modes, and they are decoupled from the shear modes. Due to the material isotropy, Lamb wave propagation behavior is independent from the propagation direction. This property can be used to find analytical solutions for the field of displacements in the frequency domain. However, in composite plates having anisotropic material properties, Lamb wave propagation behavior depends on the propagation direction. For this reason, the complexity of Lamb wave propagation modes increases, and no direct analytical solutions are available. Thus, numerical methods need to be used. In this paper, the semi-analytical finite element (SAFE) method is applied as it is suitable for both isotropic homogeneous plates and anisotropic composite laminated plates. Dispersion curves for these complex materials are calculated using SAFE. The effect of obstacles on the reflection and transmission of Lamb waves is considered. SAFE is also used for 2D point force response analysis. By applying the 2D point response analysis for perfectly bonded strip actuators, mode tuning behavior is calculated for general composite plates. A method to consider plate edge reflections in the 2D force response analysis is also presented.

Item URL in elib:https://elib.dlr.de/82031/
Document Type:Article
Title:Semi-analytical finite element method for modeling of lamb wave propagation
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
bin Ahmad, Zair Asrarzahir.ahmad (at) ovgu.deUNSPECIFIED
Vivar-Perez, Juan Migueljuan.vivarperez (at) dlr.deUNSPECIFIED
Gabbert, Ulrichulrich.gabbert (at) dlr.deUNSPECIFIED
Date:3 January 2013
Journal or Publication Title:CEAS Aeronautical Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Volume:4
DOI :10.1007/s13272-012-0056-6
Page Range:pp. 21-33
Editors:
EditorsEmail
Dillmann, AndreasUniversity of Göttingen, Germany
Publisher:Springer
ISSN:1869-5582
Status:Published
Keywords:Semi-analytical finite elements (SAFE), Mode tuning, Structural Health Monitoring(SHM), Lamb wave propagation, Composite plates
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Vivar Perez, Dr. -Ing. Juan Miguel
Deposited On:15 Aug 2013 11:57
Last Modified:06 Sep 2019 15:24

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