The non-linear vibration of FGM truncated conical shells

Sofiyev A.

Composite Structures, cilt.94, sa.7, ss.2237-2245, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 94 Sayı: 7
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.compstruct.2012.02.005
  • Dergi Adı: Composite Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2237-2245
  • Anahtar Kelimeler: Conical shell, Dimensionless non-linear frequency parameters, FGMs, Non-linear vibration
  • İstanbul Ticaret Üniversitesi Adresli: Hayır

Özet

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. © 2012 Elsevier Ltd.