Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

Authors

  • Dao Van Dung University of Science, VNU
  • Le Kha Hoa University of Science, VNU

DOI:

https://doi.org/10.15625/0866-7136/34/3/2356

Keywords:

Cylindrical shells, non-linear stability, functionally graded materials, imperfect

Abstract

This paper presents an analytical approach to analyze the nonlinear stability of thin closed circular cylindrical shells under axial compression with material properties varying smoothly along the thickness in the power and exponential distribution laws. Equilibrium and compatibility equations are obtained by using Donnel shell theory taking into account the geometrical nonlinearity in von Karman and initial geometrical imperfection.  Equations to find the critical load and the load-deflection curve are established by Galerkin's method. Effects of buckling modes, of imperfection, of dimensional parameters and of volume fraction indexes to buckling loads and postbuckling load-deflection curves of cylindrical shells are investigated. In case of perfect cylindrical shell, the present results coincide with the ones of the paper  [13] which were solved by Ritz energy method.

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Published

04-09-2012

How to Cite

Dung, D. V., & Hoa, L. K. (2012). Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin’s method. Vietnam Journal of Mechanics, 34(3), 139–156. https://doi.org/10.15625/0866-7136/34/3/2356

Issue

Section

Research Paper

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