On the Non-Linear Theory of Orthotropic Plates,

Abstract

Formulation of consistent equations for large deflections of orthotropic rectangular plates is presented. The plate is subjected to both uniform load perpendicular to its plane and edge compression. The resulting two-coupled fourth-order partial differential equations reduce, in the isotropic case, to Von Karman's fundamental equations. The equations are solved under two different sets of boundary conditions which occur frequently in ship structures. For numerical results, the solution is programmed and some results are obtained using IBM 360 Model 65. Distributions of deflections, membrane stresses, bending moments, etc., for an orthotropic plate are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0726451

Entities

People

  • Alaa E. Mansour

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bending Moments
  • Boundaries
  • Compression
  • Deflection
  • Differential Equations
  • Equations
  • Mathematics
  • Membranes
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.