A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media
Joint Authors
Schöpfer, F.
Wöstehoff, A.
Schuster, Thomas
Binder, F.
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-27
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Dispersion curves of elastic guided waves in plates can be efficiently computed by the Strip-Element Method.
This method is based on a finite-element discretization in the thickness direction of the plate and leads to an eigenvalue problem relating frequencies to wavenumbers of the wave modes.
In this paper we present a rigorous mathematical background of the Strip-Element Method for anisotropic media including a thorough analysis of the corresponding infinite-dimensional eigenvalue problem as well as a proof of the existence of eigenvalues.
American Psychological Association (APA)
Schöpfer, F.& Binder, F.& Wöstehoff, A.& Schuster, Thomas. 2010. A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-508497
Modern Language Association (MLA)
Schöpfer, F.…[et al.]. A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media. Mathematical Problems in Engineering No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-508497
American Medical Association (AMA)
Schöpfer, F.& Binder, F.& Wöstehoff, A.& Schuster, Thomas. A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-508497
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508497