Szczegóły publikacji
Opis bibliograficzny
Perturbation approach to dispersion curves calculation for nonlinear Lamb waves / Paweł PAĆKO, Wiesław J. STASZEWSKI, Tadeusz UHL, Michael J. Leamy // W: Health monitoring of structural and biological systems 2015 : San Diego, California, United States, March 9–12, 2015 / ed. Tribikram Kundu. — [Bellingham : SPIE], cop. 2015. — (Proceedings of SPIE / The International Society for Optical Engineering ; ISSN 0277-786X ; vol. 9438). — ISBN: 978-1628415414. — S. 94381V-1–94381V-6. — Bibliogr. s. 94381V-6, Abstr. — Paweł Paćko – dod. afiliacja: Georgia Institute of Technology
Autorzy (4)
- AGHPaćko Paweł
- AGHStaszewski Wiesław Jerzy
- AGHUhl Tadeusz
- Leamy Michael J.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 91483 |
|---|---|
| Data dodania do BaDAP | 2015-09-09 |
| DOI | 10.1117/12.2084300 |
| Rok publikacji | 2015 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Konferencja | Health Monitoring of Structural and Biological Systems |
| Czasopismo/seria | Proceedings of SPIE / The International Society for Optical Engineering |
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.
