Calculating the full leaky Lamb wave dispersion characteristics
Kiefer DA, Ponschab M, Rupitsch S (2019)
Publication Type: Conference contribution
Publication year: 2019
Journal
Publisher: Acoustical Society of America
Book Volume: 145
Pages Range: 1791--1791
Conference Proceedings Title: Journal of the Acoustical Society of America 145(3)
Event location: Louisville, Kentucky
Journal Issue: 3
URI: https://asa.scitation.org/doi/10.1121/1.5101549
DOI: 10.1121/1.5101549
Abstract
Lamb waves are mechanical waves guided in a plate with stress-free boundaries. In practice, the plate is often in contact with a fluid. The propagation of guided waves may change substantially in this case due to interaction with the adjacent medium, e.g., acoustic radiation may lead to leakage of energy into the fluid domain. The resulting plate modes are called leaky Lamb waves, and their attenuation due to leakage is an important parameter for the design of ultrasonic devices that exploit such waves. Modern methods to calculate dispersion characteristics of guided waves, i.e., the wavenumber-frequency relationship, solve the corresponding discretized eigenvalue problem. This kind of model for leaky Lamb waves with the analytically exact fluid interaction leads to a nonlinear eigenvalue problem, which is difficult to solve. We present a change in variables that yields an equivalent polynomial eigenvalue problem. The latter can be rewritten as a linear eigenvalue problem in state space. As a result, conventional numerical eigenvalue solvers can be used to robustly determine the sought wavenumbers. In contrast to traditional root-finding of the characteristic equations, the presented method guarantees to find all solutions and naturally handles complex wavenumbers. Additionally, no initial guesses for the wavenumbers are required.
Authors with CRIS profile
Daniel Kiefer
Lehrstuhl für Autonome Systeme und Mechatronik
Michael Ponschab
Lehrstuhl für Autonome Systeme und Mechatronik
Stefan Rupitsch
Lehrstuhl für Autonome Systeme und Mechatronik
How to cite
APA:
Kiefer, D.A., Ponschab, M., & Rupitsch, S. (2019). Calculating the full leaky Lamb wave dispersion characteristics. In Journal of the Acoustical Society of America 145(3) (pp. 1791--1791). Louisville, Kentucky, US: Acoustical Society of America.
MLA:
Kiefer, Daniel A., Michael Ponschab, and Stefan Rupitsch. "Calculating the full leaky Lamb wave dispersion characteristics." Proceedings of the 177th Meeting of the Acoustical Society of America, Louisville, Kentucky Acoustical Society of America, 2019. 1791--1791.
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