Free in-plane vibration of super-elliptical plates


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Altekin M.

SHOCK AND VIBRATION, vol.18, no.3, pp.471-484, 2011 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.3233/sav-2010-0527
  • Journal Name: SHOCK AND VIBRATION
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.471-484
  • Keywords: Super-elliptical, plate, Ritz, in-plane, vibration, RECTANGULAR-PLATES, MODAL CHARACTERISTICS, THIN, EDGES

Abstract

Free in-plane vibration of super-elliptical plates of uniform thickness was investigated by the Ritz method. A large variety of plate shapes ranging from an ellipse to a rectangle were examined. Two cases were considered: (1) a completely free, and (2) a point-supported plate. The geometrical boundary conditions were satisfied by the Lagrange multipliers. The results were compared with those of rectangular plates. Basically good agreement was obtained. Matching results were reported, and the discrepancies were highlighted.