APPLIED MECHANICS, VOL. 2, NO. 2, 1966: SELECTED ARTICLES,

Abstract

The paper considers the phenomenon of stability loss in shells with an arbitrary generatrix curvature due to the effects of axial compression and radial pressure. The problem is solved by the energy method, making use of certain derivations from the author's earlier work. To illustrate the unquestionable applicability of the proposed method, the paper presents, in addition to solutions of new problems, the derivations of certain working formulas available in the literature, specifically for a sphere and an ellipsoid of revolution loaded by an excess radial pressure. The problem of stress concentration around a round hole in an orthotropic cylindrical shell is solved by the Bubnov-Galerkin method, proceeding from the relationships of the general theory of the orthotropic cylindrical shell referred to a polar semigeodesic coordinate system. Together with the variational equation, the boundary conditions are brought to the form of a system of algebraic equations that can be programmed and solved on an ETsVM. As an example, the influence of anistropy on stress concentration around a round hole in an orthotropic cylindrical shell acted upon by a uniform axial compression is considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 28, 1967
Accession Number
AD0660731

Entities

People

  • S. S. Kan
  • Yu. A. Ashmarin

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • Compression
  • Coordinate Systems
  • Curvature
  • Ellipsoids
  • Equations
  • Galerkin Method
  • Geometric Forms
  • Geometry
  • Literature
  • Mathematics
  • Mechanics
  • Stress Concentration
  • Stresses
  • Variational Equations

Readers

  • Structural Dynamics.