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dc.contributor.authorMueller, Martin Fritz
dc.contributor.authorKim, Jin-Yeon
dc.contributor.authorQu, Jianmin
dc.contributor.authorJacobs, Laurence J.
dc.date.accessioned2010-11-08T16:09:07Z
dc.date.available2010-11-08T16:09:07Z
dc.date.issued2010-04
dc.identifier.citationMartin F. Müller, Jin-Yeon Kim, Jianmin Qu, and Laurence J. Jacobs, "Characteristics of second harmonic generation of Lamb waves in nonlinear elastic plates," Journal of the Acoustical Society of America, Vol. 127, No. 4 (April 2010) 2141-2152.en_US
dc.identifier.issn0001-4966
dc.identifier.urihttp://hdl.handle.net/1853/35820
dc.description© 2010 Acoustical Society of America. The following article appeared in Journal of the Acoustical Society of America, Vol. 127, No. 4 (April 2010) and may be found at http://dx.doi.org/10.1121/1.3294714en_US
dc.descriptionDOI: 10.1121/1.3294714
dc.description.abstractThis paper investigates the characteristics of the second harmonic generation of Lamb waves in a plate with quadratic nonlinearity. Analytical asymptotic solutions to Lamb waves are first obtained through the use of a perturbation method. Then, based on a careful analysis of these asymptotic solutions, it is shown that the cross-modal generation of a symmetric second harmonic mode by an antisymmetric primary mode is possible. These solutions also demonstrate that modes showing internal resonance-nonzero power flux to the second harmonic mode, plus phase velocity matching-are most useful for measurements. In addition, when using finite wave packets, which is the case in most experimental measurements, group velocity matching is required for a cumulative increase in the second harmonic amplitude with propagation distance. Finally, five mode types (which are independent of material properties) that satisfy all three requirements for this cumulative increase in second harmonic amplitude-nonzero power flux, plus phase and group velocity matching-are identified. These results are important for the development of an experimental procedure to measure material nonlinearity with Lamb waves.en_US
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.subjectAcousticsen_US
dc.subjectComputer simulationsen_US
dc.subjectElasticityen_US
dc.subjectMaterials testing methodsen_US
dc.subjectComputer-assisted numerical analysisen_US
dc.subjectNonlinear dynamicsen_US
dc.subjectMechanical stressen_US
dc.subjectVibrationen_US
dc.subjectLamb wavesen_US
dc.titleCharacteristics of second harmonic generation of Lamb waves in nonlinear elastic platesen_US
dc.typeArticleen_US
dc.contributor.corporatenameGeorgia Institute of Technology. School of Civil and Environmental Engineering
dc.contributor.corporatenameGeorgia Institute of Technology. School of Mechanical Engineering
dc.publisher.originalAcoustical Society of America


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