FREE VIBRATION OF KIRCHHOFF PLATES WITH SECTOR SHAPES BY THE METHOD OF DISCRETE SINGULAR CONVOLUTION

Guerses M., Kuzu E., CİVALEK Ö.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, vol.7, no.2, pp.229-240, 2010 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1142/s0219876210002192
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.229-240
  • Keywords: Discrete singular convolution, sector plate, kirchhoff plate theory, frequencies, numerical approach, DIFFERENTIAL QUADRATURE METHOD, CIRCULAR MINDLIN PLATES, RECTANGULAR-PLATES, ANNULAR PLATES, 3-DIMENSIONAL VIBRATION, BOUNDARY-CONDITIONS, CYLINDRICAL-SHELLS, CONICAL SHELLS, ALGORITHM, SUPPORTS
  • Akdeniz University Affiliated: Yes

Abstract

The free vibration of sector plates based on the classical Kirchhoff plate theory is analyzed by the method of discrete singular convolution using the Regularized Shannon delta (RSD) kernel. This method is applied to sector plates with a combination of boundary conditions, and the natural frequencies are calculated. The effects of the sector angle, boundary conditions and mode numbers on the frequency parameters are investigated. Comparisons are made with existing numerical and analytical solutions in the literature. This method is very effective for the study of vibration problems of sector plates.