Combined effects of heterogeneity and non-linearity on the critical time parameters of orthotropic conical shells


Composite Structures, vol.130, pp.163-173, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 130
  • Publication Date: 2015
  • Doi Number: 10.1016/j.compstruct.2015.04.018
  • Journal Name: Composite Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.163-173
  • Keywords: Critical time parameter, Heterogeneity, Non-linearity, Orthotropic materials, Static and time-dependent loads, Truncated conical shell
  • Istanbul Gelisim University Affiliated: Yes


The work is devoted to the non-linear dynamic stability of heterogeneous orthotropic truncated conical shells subjected to the combined static and time-dependent axial loads. The basic equations are derived using the finite deflection theory with von Karman-Donnell-type of kinematic non-linearity and reduced to a non-linear differential equation with the time variable coefficient using the superposition principle and Galerkin method. The resulting equation is solved numerically using Runge-Kutta method for variety of an axial loading speed, heterogeneity of features, orthotropic material properties and conical shell characteristics to obtain the non-linear critical time parameters. Finally, the influences of the axial loading speed, non-linearity, heterogeneity and orthotropy on the dimensionless critical time parameters are discussed in detail.