A semi-analytical approach for the geometrically nonlinear analysis of trapezoidal plates

Igor Shufrin, Oded Rabinovitch, Moshe Eisenberger

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

This paper presents a semi-analytical approach for the geometrically nonlinear analysis of skew and trapezoidal plates subjected to out-of-plane loads. The thin elastic plate theory with nonlinear von Krmn strains is used for the nonlinear large deflection analysis of the plate. The solution of the governing nonlinear partial differential equations with variable coefficients is reduced to an iterative solution of nonlinear ordinary differential equations using the multi-term extended Kantorovich method. The geometry of the trapezoidal plate is mapped into a rectangular computational domain. Parallelogram (skew) plates are considered as a particular case of the general trapezoidal ones. The capabilities and convergence of the method are numerically examined through comparison with other semi-analytical and numerical methods and with finite element analyses. The applicability of the approach to the nonlinear large deflection analysis of skew and trapezoidal plates is demonstrated through various numerical examples. The numerical study focuses on combinations of geometry, loading and boundary conditions that are beyond the applicability of other semi-analytical methods.

Original languageEnglish
Pages (from-to)1588-1596
Number of pages9
JournalInternational Journal of Mechanical Sciences
Volume52
Issue number12
DOIs
StatePublished - 1 Dec 2010
Externally publishedYes

Keywords

  • Extended Kantorovich method
  • Large deflections
  • Nonlinear analysis
  • Semi-analytical approach
  • Skew plate
  • Trapezoidal plate

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science (all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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