Szczegóły publikacji
Opis bibliograficzny
Amplitude-dependent Lamb wave dispersion in nonlinear plates / Paweł PAĆKO, Tadeusz UHL, Wiesław J. STASZEWSKI, Michael J. Leamy // Journal of the Acoustical Society of America ; ISSN 0001-4966. — 2016 — vol. 140 iss. 2, s. 1319–1331. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 1330–1331. — Publikacja dostępna online od: 2016-08-24. — P. Paćko - dod. afiliacja: Georgia Institute of Technology
Autorzy (4)
- AGHPaćko Paweł
- AGHUhl Tadeusz
- AGHStaszewski Wiesław Jerzy
- Leamy Michael J.
Dane bibliometryczne
| ID BaDAP | 104411 |
|---|---|
| Data dodania do BaDAP | 2017-03-11 |
| Tekst źródłowy | URL |
| DOI | 10.1121/1.4961489 |
| Rok publikacji | 2016 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of the Acoustical Society of America |
Abstract
The paper presents a perturbation approach for calculating amplitude-dependent Lamb wave dispersion in nonlinear plates. Nonlinear dispersion relationships are derived in closed form using a hyperelastic stress-strain constitutive relationship, the Green-Lagrange strain measure, and the partial wave technique integrated with a Lindstedt-Poincare perturbation approach. Solvability conditions are derived using an operator formalism with inner product projections applied against solutions to the adjoint problem. When applied to the first-and second-order problems, these solvability conditions lead to amplitude-dependent, nonlinear dispersion corrections for frequency as a function of wavenumber. Numerical simulations verify the predicted dispersion shifts for an example nonlinear plate. The analysis and identification of amplitude-dependent, nonlinear Lamb wave dispersion complements recent research focusing on higher harmonic generation and internally resonant waves, which require precise dispersion relationships for frequency-wavenumber matching. (C) 2016 Acoustical Society of America.
