LARGE NONSYMMETRIC DEFLECTIONS OF THIN SHALLOW SHELLS,

Abstract

The physical problem we wish to discuss is that of the large nonsymmetric deflection of thin shells. To give some background material, a shell is considered thin when its radius of curvature is large compared to its thickness. For such a thin shell deflections are considered large when they reach the order of magnitude of the shell thickness. Mathematically speaking, the governing differential equations become nonlinear at this stage, and this has some interesting consequences including a loss of uniqueness which can give rise to instability in a physical sense - viz., buckling of the shell. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0837151

Entities

People

  • John F. Mescall

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Buckling
  • Curvature
  • Deflection
  • Differential Equations
  • Equations
  • Geometric Forms
  • Geometry
  • Instability
  • Lines (Geometry)
  • Materials
  • Mathematics
  • Thickness

Fields of Study

  • Physics

Readers

  • Structural Dynamics.