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A note on finite deflections of circular ring plates

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Abstract

We solve the problem of the symmetrically deforming edge loaded polar-orthotropic circular ring plate for the case of large deformations of a radially rigid plate, and compare the results with the corresponding solutions in accordance with the small finite deformation equations of von Karman.

Zusammenfassung

Wir lösen das Problem der rotationssymmetrischen Biegung von polar-orthotropen Kreisringplatten für den Fall von grossen Durchbiegungen von Platten welche starr in radialer Richtung sind. Wir vergleichen unsere Resultate mit den entsprechenden Lösungen welche aus den von Karman'schen Gleichungen für kleine endliche Durchbiegungen folgen.

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References

  1. E. Reissner,On Finite Deflections of Circular Plates, Proc. Symp. Appl. Math.1, 213–219 (1949).

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  2. E. Reissner,On the Equations for Finite Symmetrical Deflections of Thin Shells of Revolution, Progress in Appl. Mech. (Prager Anniv. Volume), 171–178 (1963).

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Authors and Affiliations

  1. Dept. of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, California, USA

    E. Reissner

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  1. E. Reissner
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Additional information

A report on work supported by the Office of Naval Research.

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Reissner, E. A note on finite deflections of circular ring plates. Journal of Applied Mathematics and Physics (ZAMP) 29, 698–703 (1978). https://doi.org/10.1007/BF01601495

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  • DOI: https://doi.org/10.1007/BF01601495

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