
Proceedings Paper
Perturbation approach to dispersion curves calculation for nonlinear Lamb wavesFormat | Member Price | Non-Member Price |
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Paper Abstract
Analysis of elastic wave propagation in nonlinear media has gained recent research attention due to the recognition of their
amplitude-dependent behavior. This creates opportunities for increased accuracy of damage detection and localization,
development of new structural monitoring strategies, and design of new structures with desirable acoustic behavior (e.g.,
amplitude-dependent frequency bandgaps, wave beaming, and filtering). This differs from more traditional nonlinear analysis
approaches which target the prediction of higher harmonic growth. Of particular interest in this work is the analysis of
amplitude-dependent shifts in Lamb wave dispersion curves. Typically, dispersion curves are calculated for nominally linear
material parameters and geometrical features of a waveguide, even when the constitutive law is nonlinear. Instead, this
work employs a Lindstedt - Poincare perturbation approach to calculate amplitude-dependent dispersion curves, and shifts
thereof, for nonlinearly-elastic plates. As a result, a set of first order corrections to frequency (or equivalently wavenumber)
are calculated. These corrections yield significant amplitude dependence in the spectral characteristics of the calculated
waves, especially for high frequency waves, which differs fundamentally from linear analyses. Numerical simulations
confirm the analytical shifts predicted. Recognition of this amplitude-dependence in Lamb wave dispersion may suggest,
among other things, that the analysis of guided wave propagation phenomena within a fully nonlinear framework needs to
revisit mode-mode energy flux and higher harmonics generation conditions.
Paper Details
Date Published: 7 May 2015
PDF: 6 pages
Proc. SPIE 9438, Health Monitoring of Structural and Biological Systems 2015, 94381V (7 May 2015); doi: 10.1117/12.2084300
Published in SPIE Proceedings Vol. 9438:
Health Monitoring of Structural and Biological Systems 2015
Tribikram Kundu, Editor(s)
PDF: 6 pages
Proc. SPIE 9438, Health Monitoring of Structural and Biological Systems 2015, 94381V (7 May 2015); doi: 10.1117/12.2084300
Show Author Affiliations
Pawel Packo, AGH Univ. of Science and Technology (Poland)
Georgia Institute of Technology (United States)
Wieslaw J. Staszewski, AGH Univ. of Science and Technology (Poland)
Georgia Institute of Technology (United States)
Wieslaw J. Staszewski, AGH Univ. of Science and Technology (Poland)
Tadeusz Uhl, AGH Univ. of Science and Technology (Poland)
Michael J. Leamy, Georgia Institute of Technology (United States)
Michael J. Leamy, Georgia Institute of Technology (United States)
Published in SPIE Proceedings Vol. 9438:
Health Monitoring of Structural and Biological Systems 2015
Tribikram Kundu, Editor(s)
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