An Approximate Buckling Analysis for Rectangular Orthotropic Plates with Centrally Located Cutouts.

Abstract

An approximate analysis for predicting buckling of rectangular orthotropic composite plates with centrally located cutouts is presented. In this analysis, the prebuckling and buckling problems are converted from a two-dimensional to a one-dimensional system of linear differential equations with variable coefficients. The conversion is accomplished by expressing the displacements as series with each element containing a trigonometric function of one coordinate and a coefficient that is an arbitrary function of the other coordinate. Ordinary differential equations are then obtained from a variational principle. Analytical results obtained from the approximate analysis are compared with finite element analyses for isotropic plates and for 0 sub 10's, 90 sub 10's, and 0/90 sub 5's specially orthotropic plates with central circular cutouts of various sizes. Experimental results for the specially orthotropic plates are also presented. In nearly all cases, the approximate analysis predicts the buckling mode shapes correctly and predicts the buckling loads to within a few percent of the finite element and experimental results. (MM)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA301820

Entities

People

  • Eric R. Johnson
  • Manuel Stein
  • Michael P. Nemeth

Organizations

  • Langley Research Center

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Cartesian Coordinates
  • Composite Materials
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Diameters
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Geometry
  • Laminates
  • Load Distribution
  • Stress Analysis
  • Stresses
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.