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Membrane carrier wave function in the modeling of Lamb wave propagation

Vivar-Perez, Juan Miguel and bin Ahmad, Zair Asrar and Gabbert, Ulrich (2013) Membrane carrier wave function in the modeling of Lamb wave propagation. CEAS Aeronautical Journal, 4 (1), pp. 51-59. Springer. doi: 10.1007/s13272-012-0060-x. ISSN 1869-5582.

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Official URL: http://link.springer.com/article/10.1007%2Fs13272-012-0060-x


Wave propagation in plates are multi-modal and dispersive by nature. Their behavior is 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’s propagation behavior is not dependent on the propagation direction. This property can be used to find analytical solutions for the field of displacements in the frequency domain. In this paper, series of numerical simulations on the Lamb wave propagation in homogeneous isotropic are presented. The concept of the membrane carrier wave is used together with integral transforms in the space domain, and analytical expressions are found for the response of a homogeneous isotropic plate under different load regimes. We considered line forces and axisymmetric loads applied to the plate. The procedure can be applied to other types of load distributions.

Item URL in elib:https://elib.dlr.de/82030/
Document Type:Article
Title:Membrane carrier wave function in the modeling of Lamb wave propagation
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Vivar-Perez, Juan Migueljuan.vivarperez (at) dlr.deUNSPECIFIED
bin Ahmad, Zair Asrarzahir.ahmad (at) ovgu.deUNSPECIFIED
Gabbert, Ulrichulrich.gabbert (at) ovgu.deUNSPECIFIED
Date:4 January 2013
Journal or Publication Title:CEAS Aeronautical Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1007/s13272-012-0060-x
Page Range:pp. 51-59
EditorsEmailEditor's ORCID iD
Dillmann, AndreasUniversity of Göttingen, GermanyUNSPECIFIED
Keywords:Wave propagation, Lamb wave, Analytical solutions, Membrane carrier wave, Integral transforms
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 11:56
Last Modified:06 Sep 2019 15:24

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