A semi-analytical approach for the non-linear large deflection analysis of laminated rectangular plates under general out-of-plane loading

I. Shufrin, O. Rabinovitch, M. Eisenberger

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

A semi-analytical approach for the geometrically non-linear analysis of rectangular laminated plates with general inplane and out-of-plane boundary conditions under a general distribution of out-of-plane loads is developed. The analysis is based on the elastic thin plate theory with geometrically non-linear von Kármán strains. The solution of the non-linear partial differential equations is reduced to an iterative sequential solution of non-linear ordinary differential equations using the multi-term extended Kantorovich method. The efficiency, accuracy, and convergence of the proposed method are examined through a comparison with other semi-analytical methods and with finite element analyses. The capabilities of the approach and its applicability to the non-linear large deflection analysis of plate structures are demonstrated through various numerical examples. Emphasis is placed on combinations of lamination, boundary, and loading conditions that cannot be analyzed using alternative semi-analytical methods.

Original languageEnglish
Pages (from-to)328-340
Number of pages13
JournalInternational Journal of Non-Linear Mechanics
Volume43
Issue number4
DOIs
StatePublished - 1 May 2008
Externally publishedYes

Keywords

  • Extended Kantorovich method
  • Geometrically non-linear analysis
  • Laminated composite plate
  • Large deflection analysis
  • Patch loading
  • Semi-analytical approach

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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