A Simplified Method of Elastic-Stability Analysis for Thin Cylindrical Shells. 2 - Modified Equilibrium Equation

Abstract

A modified form of Donnell's equation for the equilibrium of thin cylindrical shells is derived which is equivalent to Donnell's equation but has certain advantages in physical interpretation and in ease of solution, particularly in the case of shells having clamped edges. The solution of this modified equation by means of trigonometric series and its application to a number of problems concerned with the shear buckling stresses of cylindrical shells are discussed. The question of implicit boundary conditions also is considered.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1947
Accession Number
ADB185623

Entities

People

  • S. B. Batdorf

Organizations

  • National Advisory Committee for Aeronautics

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Aeronautics
  • Boundaries
  • Buckling
  • Coefficients
  • Compression
  • Curvature
  • Deflection
  • Differential Equations
  • Equations
  • Fourier Series
  • Galerkin Method
  • Mechanics
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Shear Stresses
  • Simultaneous Equations

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.