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Non-linear axial vibrations of a cylindrical liquid column in zero-gravity

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Abstract

The non-linear response of an axially excited cylindrical liquid column consisting of frictionless liquid has been investigated for harmonic excitation with the excitation amplitude¯z 0 and the forcing frequency Ω. Free non-linear surface displacement-response has been determined and shows softening liquid behavior. The results shall be used for the efficient planning of the “LICORE” (liquid columns' resonances) experiments in the second German Spacelab mission D-2.

Zusammenfassung

Es wurde das nichtlineare Antwortverhalten einer harmonisch axial angeregten zylindrischen Flüssigkeitssäule behandelt. Dabei wurde die Flüssigkeit als reibungsfrei betrachtet und mit einer Anregungsamplitude¯z 0 und der erzwungenen Frequenz Ω erregt. Die Vergröeßrungsfunktionen der nichtlinearen freien Oberflächenauslenkung wurde bestimmt und unterlineares Verhalten festgestellt. Die Ergebnisse sind für die erfolgreiche Planung des “LICORE” (liquid columns' resonances)-Experiment der Zweiten Deutschen Spacelab-Mission D-2 von Bedeutung.

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Authors and Affiliations

  1. Institut für Raumfahrttechnik, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, 8014, Neubiberg, Germany

    Helmut F. Bauer & Werner Eidel

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  1. Helmut F. Bauer
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  2. Werner Eidel
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Bauer, H.F., Eidel, W. Non-linear axial vibrations of a cylindrical liquid column in zero-gravity. Z. angew. Math. Phys. 43, 726–741 (1992). https://doi.org/10.1007/BF00946260

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  • DOI: https://doi.org/10.1007/BF00946260

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