The non-linear dynamics of FGM truncated conical shells surrounded by an elastic medium

Najafov A., Sofiyev A.

International Journal of Mechanical Sciences, vol.66, pp.33-44, 2013 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 66
  • Nəşr tarixi: 2013
  • Doi nömrəsi: 10.1016/j.ijmecsci.2012.10.006
  • jurnalın adı: International Journal of Mechanical Sciences
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.33-44
  • Açar sözlər: Elastic foundations, Frequency-amplitude relations, Functionally graded materials, Non-linear free vibration, Truncated conical shell
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this study, the non-linear dynamic analysis of functionally graded (FG) truncated conical shells surrounded by an elastic medium has been investigated using the large deformation theory with von Karman-Donnell-type of kinematic non-linearity. The material properties of FG truncated conical shell are assumed to vary continuously through the thickness direction. The Pasternak model is used to describe the reaction of the elastic foundation on the FG conical shell. The fundamental relations, the non-linear motion and compatibility equations of FG truncated conical shells surrounded by an elastic medium are derived. By using the Superposition method, Galerkin method and Harmonic balance method, the problem of non-linear vibration of the FG truncated conical shell surrounded by an elastic medium is solved. Finally, the influences of variations of the elastic medium, compositional profiles and conical shell characteristics on the frequency-amplitude relations are investigated. The present results are compared with the available data for a special case. © 2012 Elsevier Ltd. All rights reserved.