The dynamic stability of orthotropic cylindrical shells with non-homogenous material properties under axial compressive load varying as a parabolic function of time

Sofiyev A., YÜCEL K. T., AVCAR M., Zerin Z.

Journal of Reinforced Plastics and Composites, vol.25, no.18, pp.1877-1886, 2006 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 18
  • Publication Date: 2006
  • Doi Number: 10.1177/0731684406069914
  • Journal Name: Journal of Reinforced Plastics and Composites
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1877-1886
  • Keywords: Critical parameters, Dynamic stability, Non-homogeneous materials
  • İstanbul Ticaret University Affiliated: No

Abstract

In this study, the dynamic stability problem of a cylindrical shell composed of non-homogeneous orthotropic materials with Young's moduli and density varying continuously in the thickness direction under the effect of an axial compressive load varying with a parabolic function of time is considered. At first, the fundamental relations and the modified Donnell type dynamic stability equations of a non-homogeneous orthotropic cylindrical shell are set up. Applying the Galerkin method, first, and then the Ritz-type variational method, the closed-form solutions have been derived for the dynamic critical axial load and dynamic factor. Finally, carrying out some computations, the effects of the non-homogeneity of the orthotropy ratio and the axial loading parameter on the critical parameters have been studied. Comparing results with those in the literature validates the present analysis. © SAGE Publications.