Evaluation of non-linear buckling loads of geometrically imperfect composite cylinders and cones with the Ritz method

Saullo G.P. Castro*, Christian Mittelstedt, Francisco A.C. Monteiro, Richard Degenhardt, Gerhard Ziegmann

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

31 Citations (Scopus)

Abstract

A semi-analytical model to predict the non-linear behavior of unstiffened cylinders and cones considering initial geometric imperfections and various loads and boundary conditions is presented. The formulation is developed using the Classical Laminated Plate Theory (CLPT) and Donnell's equations, solving for the complete displacement field. The non-linear static problem is solved using a modified Newton-Raphson algorithm with line-search. A numerical integration scheme for the non-linear matrices is proposed and details regarding the implementation of the proposed method are given. Two methods to include measured imperfections into the analyses are presented and for one method the effect of using different approximation levels for the imperfection field on the non-linear response is investigated, and a minimum approximation accuracy that should be used is determined. The semi-analytical results are verified using finite elements and previous models from the literature. The implemented routines are distributed on-line and are based on a matrix notation simply applicable to other problems.

Original languageEnglish
Pages (from-to)284-299
Number of pages16
JournalComposite Structures
Volume122
DOIs
Publication statusPublished - 1 Apr 2015
Externally publishedYes

Keywords

  • Composite
  • Cone
  • Cylinder
  • Geometric imperfection
  • Non-linear static
  • Ritz method

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