LARGE LATERAL DEFLECTIONS OF TEXTILE FABRIC STRUCTURES,

Abstract

The large deflections of fabric structures under uniformly distributed lateral loads are studies in this work. The analytical model is composed of two sets of plane parallel filaments superposed, one on the other, at right angles. Free rotations with no translations are the restriction placed on the intersections of the two sets. Considering tensile energy alone, the governing differential equation is derived by use of the differential geometry, the principle of minimum potential energy, and the variational calculus. The derived equation is a quasi-linear elliptic partial differential equation and is solved numerically by the use of finite difference approximations. An experimental investigation is presented and the results of this investigation are compared graphically with numerical results obtained on an IBM 7090 digital computer. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0425086

Entities

People

  • Gordon D. Moskowitz

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computers
  • Deflection
  • Differential Equations
  • Differential Geometry
  • Digital Computers
  • Energy
  • Equations
  • Geometry
  • Partial Differential Equations
  • Potential Energy
  • Right Angles

Readers

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