The computation of dispersion relations for three-dimensional elastic waveguides using the scaled boundary finite element method
- In this paper, a numerical approach for the computation of dispersion relations for three-dimensional waveguides with arbitrary cross-section is proposed. The formulation is based on the Scaled Boundary Finite Element Method (SBFEM). It is an extension of the approach previously derived for plate structures. It is shown that the wavenumbers of guided waves in a waveguide can be obtained as the eigenvalues of the Z matrix, which is well known in the SBFEM. The Hamiltonian properties of this matrix are utilized to derive an efficient way to compute the group velocities of propagating waves as eigenvalue derivatives. The cross-section of the waveguide is discretized using higher-order spectral elements. It is discussed in detail how symmetry axes can be utilized to reduce computational costs. In order to sort the solutions at different frequencies, a mode-tracking algorithm is proposed, based on the Padé expansion.
Autor*innen: | Hauke Gravenkamp, H. Man, C. Song, Jens PragerORCiD |
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Dokumenttyp: | Zeitschriftenartikel |
Veröffentlichungsform: | Verlagsliteratur |
Sprache: | Englisch |
Titel des übergeordneten Werkes (Englisch): | Journal of sound and vibration |
Jahr der Erstveröffentlichung: | 2013 |
Verlag: | Academic Press |
Verlagsort: | London |
Jahrgang/Band: | 332 |
Ausgabe/Heft: | 15 |
Erste Seite: | 3756 |
Letzte Seite: | 3771 |
Freie Schlagwörter: | Dispersion; Guided waves; Scaled boundary finite element method; Simulation |
DOI: | 10.1016/j.jsv.2013.02.007 |
ISSN: | 0022-460X |
ISSN: | 1095-8568 |
Verfügbarkeit des Dokuments: | Physisches Exemplar in der Bibliothek der BAM vorhanden ("Hardcopy Access") |
Bibliotheksstandort: | Sonderstandort: Publica-Schrank |
Datum der Freischaltung: | 20.02.2016 |
Referierte Publikation: | Ja |
Datum der Eintragung als referierte Publikation: | 29.07.2013 |