Strongly cumulative second harmonic generation in a plate with quadratic nonlinearity: Finite element simulation

Yang Liu, Clifford Jesse Lissenden, III, Joseph Lawrence Rose

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

A comprehensive analysis for guided wave preferred fundamental excitation that satisfies cumulative conditions of second harmonic generation in a weakly nonlinear plate has been carried out and then confirmed by finite element modeling for selected cases. The properties of nonlinear forcing terms and secondary mode shapes are manipulated to determine the cumulative second harmonics. Analysis shows that the synchronism points with higher power flux intensity are the preferred fundamental excitations that are suitable for nonlinear guided wave NDE. Finite element modeling of SH mode and Lamb mode fundamental excitation has been conducted on the excitation points selected by the co-Analysis method. A linear increase of qualitative nonlinear parameter over the propagation distance has been observed for both Lamb wave and SH wave fundamental excitations.

Original languageEnglish (US)
Title of host publicationReview of Progress in Quantitative Nondestructive Evaluation, Volume 32
EditorsDale E. Chimenti, Donald O. Thompson
PublisherAmerican Institute of Physics Inc.
Pages151-158
Number of pages8
ISBN (Electronic)9780735411296
DOIs
StatePublished - Jan 1 2013
Event39th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2012 - Denver, United States
Duration: Jul 15 2012Jul 20 2012

Publication series

NameAIP Conference Proceedings
Volume1511
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference39th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2012
CountryUnited States
CityDenver
Period7/15/127/20/12

Fingerprint

harmonic generations
nonlinearity
excitation
simulation
SH waves
Lamb waves
modal response
wave excitation
synchronism
harmonics
propagation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Liu, Y., Lissenden, III, C. J., & Rose, J. L. (2013). Strongly cumulative second harmonic generation in a plate with quadratic nonlinearity: Finite element simulation. In D. E. Chimenti, & D. O. Thompson (Eds.), Review of Progress in Quantitative Nondestructive Evaluation, Volume 32 (pp. 151-158). (AIP Conference Proceedings; Vol. 1511). American Institute of Physics Inc.. https://doi.org/10.1063/1.4789043
Liu, Yang ; Lissenden, III, Clifford Jesse ; Rose, Joseph Lawrence. / Strongly cumulative second harmonic generation in a plate with quadratic nonlinearity : Finite element simulation. Review of Progress in Quantitative Nondestructive Evaluation, Volume 32. editor / Dale E. Chimenti ; Donald O. Thompson. American Institute of Physics Inc., 2013. pp. 151-158 (AIP Conference Proceedings).
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Liu, Y, Lissenden, III, CJ & Rose, JL 2013, Strongly cumulative second harmonic generation in a plate with quadratic nonlinearity: Finite element simulation. in DE Chimenti & DO Thompson (eds), Review of Progress in Quantitative Nondestructive Evaluation, Volume 32. AIP Conference Proceedings, vol. 1511, American Institute of Physics Inc., pp. 151-158, 39th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2012, Denver, United States, 7/15/12. https://doi.org/10.1063/1.4789043

Strongly cumulative second harmonic generation in a plate with quadratic nonlinearity : Finite element simulation. / Liu, Yang; Lissenden, III, Clifford Jesse; Rose, Joseph Lawrence.

Review of Progress in Quantitative Nondestructive Evaluation, Volume 32. ed. / Dale E. Chimenti; Donald O. Thompson. American Institute of Physics Inc., 2013. p. 151-158 (AIP Conference Proceedings; Vol. 1511).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Liu Y, Lissenden, III CJ, Rose JL. Strongly cumulative second harmonic generation in a plate with quadratic nonlinearity: Finite element simulation. In Chimenti DE, Thompson DO, editors, Review of Progress in Quantitative Nondestructive Evaluation, Volume 32. American Institute of Physics Inc. 2013. p. 151-158. (AIP Conference Proceedings). https://doi.org/10.1063/1.4789043