Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/84154
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dc.contributor.authorZuo, Pengen
dc.contributor.authorZhou, Yuen
dc.contributor.authorFan, Zhengen
dc.date.accessioned2016-11-29T08:47:18Zen
dc.date.accessioned2019-12-06T15:39:26Z-
dc.date.available2016-11-29T08:47:18Zen
dc.date.available2019-12-06T15:39:26Z-
dc.date.issued2016en
dc.identifier.citationZuo, P., Zhou, Y., & Fan, Z. (2016). Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections. AIP Advances, 6(7), 075207-.en
dc.identifier.issn2158-3226en
dc.identifier.urihttps://hdl.handle.net/10356/84154-
dc.description.abstractNonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes.en
dc.format.extent14 p.en
dc.language.isoenen
dc.relation.ispartofseriesAIP Advancesen
dc.rights© 2016 The Author(s) (published by American Institute of Physics). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).en
dc.subjectNonlinear optical waveguidesen
dc.subjectTensor methodsen
dc.titleNumerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sectionsen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Mechanical and Aerospace Engineeringen
dc.identifier.doi10.1063/1.4959005en
dc.description.versionPublished versionen
item.fulltextWith Fulltext-
item.grantfulltextopen-
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