Large Deflections of Flat Arbitrary Membranes,

Abstract

Displacement equations in Cartesian coordinates are solved to determine the large deflection response of flat membranes. Cases included are circular, rectangular, and polygonal membranes. For the last two cases an added complication is also treated consisting of a rigid central core region. The nonlinear relaxation method in conjunction with finite difference approximation is utilized to solve the governing differential equations. Comparisons, where possible, with other solutions are quite favorable. For rectangular membranes results are put in a form convenient for direct engineering use. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0723538

Entities

People

  • Nicholas Perrone
  • Robert Kao

Organizations

  • The Catholic University of America

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Deflection
  • Differential Equations
  • Displacement
  • Engineering
  • Equations
  • Mathematics
  • Membranes

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.
  • Nanocomposite Materials Science