A Contribution to the Theory of Folding Deformations in Expandable Structures with a Particular Application to Toroidal Shells

Abstract

Outlines for a theory of large deformations, including folding, of arbitrary inextensible membranes are presented. The approach to the problem utilizes isometric mapping techniques complemented by the additional topological constraints of the folding problem in structure . The theory is applied to an inextensible membrane in the form of a torus. Rigorous solutions are found for a particular class of deformations. Theoretical results are verified, qualitatively, by realization of predicted folding patterns on two torus models.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
ADA396289

Entities

People

  • G. M. Schindler
  • H. U. Schuerch

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Expandable Structures
  • Fabrication
  • Flexible Materials
  • Geometry
  • Grids
  • Inner Tubes
  • Linear Systems
  • Membranes
  • Partial Differential Equations
  • Reflection
  • Shape
  • Solar Energy
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Structural Dynamics.
  • Systems Analysis and Design