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Simulation of ultrasound propagation in waveguides with non-constant thickness by a multimodal approach

  • Guided waves are increasingly a subject of great interest in nondestructive testing. An example of research in this field is the development of a novel procedure for ultrasonic testing of wheelset-axles using guided waves, which requires to treat the wheelset-axle as a thick walled cylinder with varying thickness. In order to describe ultrasound propagation in a waveguide with non-constant thickness, a multimodal approach, which allows to avoid extensive mesh-based numerical calculations, seems to be promising. The method treats the modes of a corresponding waveguide with constant thickness as a base in which an arbitrary sound field can be expressed. Since the local sound field at any given position in the waveguide with varying thickness will be a combination of these base modes, the problem is reduced to solving the differential equation that governs the evolution of the coefficients in the mode spectrum along the waveguide. Once the description of the sound field along theGuided waves are increasingly a subject of great interest in nondestructive testing. An example of research in this field is the development of a novel procedure for ultrasonic testing of wheelset-axles using guided waves, which requires to treat the wheelset-axle as a thick walled cylinder with varying thickness. In order to describe ultrasound propagation in a waveguide with non-constant thickness, a multimodal approach, which allows to avoid extensive mesh-based numerical calculations, seems to be promising. The method treats the modes of a corresponding waveguide with constant thickness as a base in which an arbitrary sound field can be expressed. Since the local sound field at any given position in the waveguide with varying thickness will be a combination of these base modes, the problem is reduced to solving the differential equation that governs the evolution of the coefficients in the mode spectrum along the waveguide. Once the description of the sound field along the waveguide is obtained, the time dependence is added by multiplication with a simple oscillating term. Simulations of pulse propagation through the waveguide can then be constructed by adding up a sufficient number of mono-frequent continuous wave solutions. As an early stage in developing a simulation tool for sound propagation in thick walled cylinders with varying thickness, the multimodal approach was implemented and tested for the simple case of plate geometries. In this work, an overview of the simulations carried out for plates with non-constant thickness is presented. The performance of the algorithm based on the multimodal approach and the obtained results are compared to those of mesh-based simulation tools.zeige mehrzeige weniger

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Metadaten
Autor*innen:Christian Höhne, Jens PragerORCiD
Dokumenttyp:Beitrag zu einem Tagungsband
Veröffentlichungsform:Verlagsliteratur
Sprache:Englisch
Titel des übergeordneten Werkes (Englisch):Forum acusticum (Proceedings)
Jahr der Erstveröffentlichung:2014
Herausgeber (Institution):European acoustics association (EAA)
Erste Seite:R11D_1, 1
Letzte Seite:6
Freie Schlagwörter:Guided waves; Numerical simulations
Veranstaltung:Forum acusticum
Veranstaltungsort:Kraków, Poland
Beginndatum der Veranstaltung:07.09.2014
Enddatum der Veranstaltung:12.09.2014
ISSN:2221-3767
Verfügbarkeit des Dokuments:Datei im Netzwerk der BAM verfügbar ("Closed Access")
Datum der Freischaltung:20.02.2016
Referierte Publikation:Nein
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