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Ausbreitung transienter akustischer Wellen-Untersuchungen mit einer Zeitschritt-Randelementmethode

Propagation of transient acoustic waves — An analysis by a time-stepping boundary element method

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Übersicht

Unter Benutzung des Reziprozitätssatzes von Graffi wird eine zeitabhängige Integro-Differen-tialgleichung und daraus eine Zeitschritt-Randelementmethode hergeleitet. Sie ist bei beliebigen kompressiblen, nicht-viskosen Flüssigkeiten (akustischen Medien) anwendbar und besonders zur Ermittlung transienter Druckwellen in unendlichen oder halb-unendlichen Gebieten geeignet. Als Anwendung wird das Staudammproblem, dabei vor allem der Einfluß der Topographie und der dynamischen Interaktion mit dem Untergrund untersucht.

Summary

By using Graffi's reciprocal theorem a time-dependent integro-differential equation and therefrom a time step boundary element method is derived. It is applicable to arbitrary compressible but non-viscous fluids (acoustic media), especially suitable for determining transient pressure waves in infinite or semi-infinite domains. As an application of the method, a reservoir-dam system is analyzed, especially considering the influence of the topography and of the dynamic interaction with the soil.

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Authors and Affiliations

  1. Institut für Angewandte Mechanik, Technische Universität Braunschweig, Abt-Jerusalem-Straße 7, B-3300, Braunschweig, Dundesrepublik Deutschland

    H. Antes

  2. Sonderforschungsbereich 151 Ruhr-Universität Bochum, Universitätsstr. 150, D-4630, Bochum 1, Bundesrepublik Deutschland

    O. von Estorff

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  1. H. Antes
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  2. O. von Estorff
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Antes, H., von Estorff, O. Ausbreitung transienter akustischer Wellen-Untersuchungen mit einer Zeitschritt-Randelementmethode. Ing. arch 59, 17–31 (1989). https://doi.org/10.1007/BF00536628

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  • DOI: https://doi.org/10.1007/BF00536628

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