Accuracy of strain solution of a laminated composite plate via galerkin's method

Zahit Mecitoʇlu, Zafer Kazanc, Demet Balkan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper deals with the detailed analysis and discussion of nonlinear static analysis of a laminated composite plate subjected to uniform pressure load. Governing equations of the plate are derived by the use of the virtual work principle. The geometric nonlinearity effects are taken into account with the von Kármán large deflection theory of thin plates. Approximate solutions for a simply supported plate are assumed for the plate domain. The single term approximation functions are selected by considering the nonlinear static deformations of plate. The solution is obtained using the Newmark method in MATLAB software. The plate is also modeled and analyzed using ANSYS software using SHELL91 elements. The variation of membrane, linear and nonlinear bending terms are obtained along a characteristic line on the plate and the numerical and finite element results are compared. The results are discussed in detail considering the nonlinear static behavior of the laminated composite plate and the main reasons of discrepancies are discussed. Dynamic behavior of the plate is explained considering the nonlinear static behavior.

Original languageEnglish
Pages (from-to)251-263
Number of pages13
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume15
Issue number5
DOIs
Publication statusPublished - 1 Aug 2014

Bibliographical note

Publisher Copyright:
© 2014 by Walter de Gruyter Berlin/Boston 2014.

Keywords

  • approximate solution
  • laminated composite plates
  • large deflections
  • strain terms

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