The non-linear vibration of FGM truncated conical shells

Sofiyev A.

Composite Structures, vol.94, no.7, pp.2237-2245, 2012 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 94 Say: 7
  • Nəşr tarixi: 2012
  • Doi nömrəsi: 10.1016/j.compstruct.2012.02.005
  • jurnalın adı: Composite Structures
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.2237-2245
  • Açar sözlər: Conical shell, Dimensionless non-linear frequency parameters, FGMs, Non-linear vibration
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

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.