Title:
Analytical investigation of internally resonant second harmonic lamb waves in nonlinear elastic isotropic plates

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dc.contributor.advisor Jacobs, Laurence J.
dc.contributor.author Mueller, Martin Fritz en_US
dc.contributor.committeeMember Jianmin Qu
dc.contributor.committeeMember Jin-Yeon Kim
dc.contributor.department Civil and Environmental Engineering en_US
dc.date.accessioned 2010-01-29T19:56:18Z
dc.date.available 2010-01-29T19:56:18Z
dc.date.issued 2009-08-24 en_US
dc.description.abstract This research deals with the second harmonic generation of Lamb waves in nonlinear elastic, homogeneous, isotropic plates. These waves find current applications in the field of ultrasonic, nondestructive testing and evaluation of materials. The second harmonic Lamb wave generation is investigated analytically in order to provide information on suitable excitation modes maximizing the second harmonic amplitude. Using an existing solution for the problem of second harmonic generation in wave guides, the solution is explained for the plate and examined as to the symmetry properties of the second harmonic wave, since published results are contradictory. It is shown that the cross-modal generation of a symmetric secondary mode by an antisymmetric primary mode is possible. Modes showing internal resonance, whose conditions are nonzero power flux from the primary wave and phase velocity matching, are shown to be most useful for measurements. In addition, group velocity matching is required. A material-independent analysis of the linear Lamb mode theory provides mode types satisfying all three requirements. Using the example of an aluminum plate, the found internally resonant modes are evaluated with regard to the rate of second harmonic generation and practical issues such as excitability and ease of measurement. Pros and cons of each mode type are presented. en_US
dc.description.degree M.S. en_US
dc.identifier.uri http://hdl.handle.net/1853/31827
dc.publisher Georgia Institute of Technology en_US
dc.subject Group velocity matching en_US
dc.subject Phase velocity matching en_US
dc.subject Second harmonic generation en_US
dc.subject Internally resonant en_US
dc.subject Internal resonance en_US
dc.subject Wave guide en_US
dc.subject Lamb wave en_US
dc.subject Nonlinear acoustics en_US
dc.subject.lcsh Ultrasonic waves
dc.subject.lcsh Nondestructive testing
dc.subject.lcsh Ultrasonic testing
dc.subject.lcsh Lamb waves
dc.title Analytical investigation of internally resonant second harmonic lamb waves in nonlinear elastic isotropic plates en_US
dc.type Text
dc.type.genre Thesis
dspace.entity.type Publication
local.contributor.advisor Jacobs, Laurence J.
local.contributor.corporatename School of Civil and Environmental Engineering
local.contributor.corporatename College of Engineering
relation.isAdvisorOfPublication 5af40958-ece2-4a76-b071-5ba4c6d99d80
relation.isOrgUnitOfPublication 88639fad-d3ae-4867-9e7a-7c9e6d2ecc7c
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
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