NUMERICAL SOLUTIONS OF THE NONLINEAR AXISYMMETRIC EQUATIONS FOR SHELLS OF REVOLUTION

Abstract

A numerical procedure for the solution of the nonlinear equations governing the large axisymmetric deflections of thin shells of revolution is presented and applied both to the complete equations due to Reissner and to the simpler equations to which these reduce for small-finite angle changes. Global solutions extending into the postbuckled range are shown to be considerably more complicated than expected. The character of the global solution is also shown to be quite sensitive to boundary conditions imposed. A comparison of the results obtained from the complete equations and the small-finite deflection equations reveals a very close agreement through the entire load-deflection history. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0638418

Entities

People

  • John F. Mescall

Organizations

  • United States Army Research Laboratory

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  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Applied Mechanics
  • Axisymmetric
  • Boundaries
  • Deflection
  • Difference Equations
  • Differential Equations
  • Equations
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Numerical Methods And Procedures
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  • Mathematics
  • Physics

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