APPLICATION OF SHALLOW SHELL THEORY TO EQUILIBRIUM AND BUCKLING PHENOMENA

Abstract

The statics and dynmics of thin elastic shllow shells were investigtated. A difficulty in the finite-deflection analysis of such problems is that the governing equations are coupled. In earlier work approximate equations that were uncoupled were developed. These basic equtions were applied to several boundary-value problems, and the analytical results were found in agreement with experimental data obtained. nother phase pertained to an analytical and experimental investigation of the stabilizing effect of a soft elastic core contained within a thin shell. It was demonstrated that even a very flexible core greatly increased the resistance of the shell to buckling. Still another phase of the study pertained to analysis of stresses in (a) conical shells of variable wall thickness and (b) shels of revolution of negative Gaussian curvature subject to an arbitrary thermal field. Studies were made to invetigate the behavior of thin cylindri al shells subject to rapid loadings such that buckling occurs in a time interval of the order of magnitude of milliseconds. For an axially compressed cylinder, e.g., it was found that even moderately rapid loading increases the post-buckling resistance by approximately 50% over the static value. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1962
Accession Number
AD0287295

Entities

People

  • W. A. Nash

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Boundary Value Problems
  • Buckling
  • Curvature
  • Deflection
  • Equations
  • Experimental Data
  • Geometric Forms
  • Geometry
  • Intervals
  • Lines (Geometry)
  • Mathematics
  • Resistance
  • Revolutions
  • Time Intervals

Readers

  • Marine Ecological Systems Migration
  • Mathematics or Statistics
  • Structural Dynamics.