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Forced vibration of a prestressed rectangular membrane: Near resonance response

Erzwungene Schwingung einer vorgespannten rechteckigen Membrane: Das Resomanzverhalten

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Summary

Using singular perturbation the near resonance behavior of anisotropically prestressed thick rectangular membranes is analysed to determine the effects of viscous damping, bending rigidity, prestress anisotropy and aspect ratio.

Zusammenfassung

Unter Verwendung der singulären Störungsrechnung wird das Verhalten von anisotrop vorgespannten dicken Membranen in der Nachbarschaft der Resonanzfrequenz untersucht. Ziel ist, den Einfluß der viskosen Dämpfung, der Biegesteifigkeit, der Vorspannungsanisotropie und des Längen-Breiten-Verhältnisses auf die Lösung zu erfassen.

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References

  1. Schneider, W.: Einfluß einer kleinen Biegesteifigkeit auf die Querschwingungen einer eingespannten rechteckigen Membrane. Acta Mechanica13 (1972).

  2. Hutter, K., Olunloyo, V.O.S.: Vibration of an anisotropically prestressed thick rectangular membrane with small bending rigidity. Acta Mechanica20 (1974).

  3. Olunloyo, V. O. S., Hutter, K.: The response of an anisotropically prestressed thick rectangular membrane to dynamic loading. Acta Mechanica28 (1977).

  4. Olunloyo, V. O. S., Hutter, K.: On the bending effects in a prestressed thick rectangular membrane. Proc. First Nigerian Congress of Theoretical and Appl. Mech., 1976.

  5. Olunloyo, V. O. S.: The effect of viscous damping on the response of a thick rectangular membrane to dynamic loaing. Iranian J. Sci. Tech.6 (1977).

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Authors and Affiliations

  1. Faculty of Engineering, University of Lagos, Lagos, Nigeria

    V. O. S. Olunloyo

  2. Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, Gloriastraße 37, CH-8092, Zürich, Switzerland

    K. Hutter

Authors
  1. V. O. S. Olunloyo
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  2. K. Hutter
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Olunloyo, V.O.S., Hutter, K. Forced vibration of a prestressed rectangular membrane: Near resonance response. Acta Mechanica 32, 63–77 (1979). https://doi.org/10.1007/BF01176134

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  • DOI: https://doi.org/10.1007/BF01176134

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