The non-linear vibration of FGM truncated conical shells

Sofiyev A.

COMPOSITE STRUCTURES, cilt.94, sa.7, ss.2237-2245, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 94 Konu: 7
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.compstruct.2012.02.005
  • Sayfa Sayıları: ss.2237-2245


In this study, the non-linear vibration of truncated conical shells made of functionally graded materials (FGMs) has been investigated using the large deformation theory with von Karman-Donnell-type of kinematic non-linearity. The material properties of FGMs are assumed to vary continuously through the thickness of the shell. The fundamental relations, the non-linear motion and compatibility equations of the FGM truncated conical shell are derived. By using Superposition method, Galerkin method and Harmonic balance method, the non-linear vibration of an FGM truncated conical shell is analyzed. Finally, the influences of compositional profiles and variation of shell geometry on the dimensionless non-linear frequency parameter and the variation of ratio of the non-linear frequency to the linear frequency are investigated. The present results are compared with the available data for a special case. (C) 2012 Elsevier Ltd. All rights reserved.