Free in-plane vibration of super-elliptical plates

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Altekin M.

SHOCK AND VIBRATION, cilt.18, sa.3, ss.471-484, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3233/sav-2010-0527
  • Dergi Adı: SHOCK AND VIBRATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.471-484
  • Anahtar Kelimeler: Super-elliptical, plate, Ritz, in-plane, vibration, RECTANGULAR-PLATES, MODAL CHARACTERISTICS, THIN, EDGES
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.