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Proceedings Paper

On the existence of antisymmetric or symmetric Lamb waves at non-linear higher harmonics
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Paper Abstract

This article theoretically studies the symmetry characteristics of Rayleigh-Lamb guided waves in nonlinear, isotropic plates. It has been known that the nonlinearity driven double harmonic in Lamb waves does not support antisymmetric motion. However the proof of this has not been obvious. Moreover, little is known on nonlinearity driven Lamb harmonics higher than double. These gaps were here studied by the method of perturbation coupled with wavemode orthogonality and forced response. This reduced the nonlinear problem to a forced linear problem which was subsequently investigated to formulate an energy level constraint as the defining factor for the absence of antisymmetry at any order of higher harmonic. This constraint was then used to explain the reason behind the absence of antisymmetric Lamb waves at the double harmonic. Further, it was shown that antisymmetric motion is prohibited at all the higher-order even harmonics, whereas all the higher order odd harmonics allow both symmetric and antisymmetric motions. Finally, experimental results corroborating theoretical conclusions are presented.

Paper Details

Date Published: 8 April 2009
PDF: 12 pages
Proc. SPIE 7295, Health Monitoring of Structural and Biological Systems 2009, 729519 (8 April 2009); doi: 10.1117/12.815448
Show Author Affiliations
A. Srivastava, Univ. of California, San Diego (United States)
F. Lanza di Scalea, Univ. of California, San Diego (United States)

Published in SPIE Proceedings Vol. 7295:
Health Monitoring of Structural and Biological Systems 2009
Tribikram Kundu, Editor(s)

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