The purpose of this brief note is to present an alternative way of deriving the orthogonality relations for wave modes, by approaching the reciprocity relationship in direct notation, with the tools provided by tensor algebra and analysis. In this way, the classical result of elastodynamics is obtained through the instruments of continuum mechanics.
Derivation of wave mode orthogonality from reciprocity in direct notation / Pau, A. - In: JOURNAL OF NONDESTRUCTIVE EVALUATION, DIAGNOSTICS AND PROGNOSTICS OF ENGINEERING SYSTEMS. - ISSN 2572-3901. - 1:(2018), pp. 0245011-0245013. [10.1115/1.4039477]
Derivation of wave mode orthogonality from reciprocity in direct notation
Pau A
Writing – Review & Editing
2018
Abstract
The purpose of this brief note is to present an alternative way of deriving the orthogonality relations for wave modes, by approaching the reciprocity relationship in direct notation, with the tools provided by tensor algebra and analysis. In this way, the classical result of elastodynamics is obtained through the instruments of continuum mechanics.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Pau_Derivation_2018.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
101.41 kB
Formato
Adobe PDF
|
101.41 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
