The Vibration Analysis of FGM Truncated Conical Shells Resting on Two-Parameter Elastic Foundations


Sofiyev A. H. , Schnack E.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, cilt.19, ss.241-249, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/15376494.2011.642934
  • Dergi Adı: MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
  • Sayfa Sayıları: ss.241-249

Özet

An analytical formulation is presented for the vibration analysis of truncated conical shells made of functionally graded material (FGM) and resting on the Winkler-Pasternak foundations. It is assumed that the truncated conical shell is a mixture of metal and ceramic that its properties changes as a function of the shell thickness. The governing equations according to the Donnell's theory are solved by Galerkin's method and the fundamental frequencies with or without two-parameter elastic foundation have been found. The effects of the elastic foundations, changing large radius-to-small radius ratio, lengths-to-radius ratio, material composition and volume fraction of constituent materials on the dimensionless frequency parameters of the FGM truncated conical shell are investigated.