Free in-plane vibration of super-elliptical plates


Altekin M.

SHOCK AND VIBRATION, cilt.18, ss.471-484, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 18 Konu: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3233/sav-2010-0527
  • Dergi Adı: SHOCK AND VIBRATION
  • Sayfa Sayıları: ss.471-484

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.