BUCKLING OF RADIALLY CONSTRAINED THEN CIRCULAR RINGS UNDER INERTIA LOADING,

Abstract

This paper presents an approximate solution of the elastic deformation of a thin circular ring which is constrained in a rigid circular boundary and is acted upon by inertia loading along direction in the plane of the ring. The solution is based on the assumption that the detached region is limited to a small portion of the circumference. The result of the solution is represented by a load-deflection curve which indicates the snap-buckling behavior of the ring. By presenting the results in terms of suitable nondimensional parameters, the behavior of rings of different R/t ratios can be determined from a single curve. The approximate solution compares favorably with the result by exact formulation obtained by Bucciarelli and Pian (AD-623 150) for a thin ring of R/t equal to 100. The predicated snap-buckling load is lower by about 3% when compared with the exact result. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0634433

Entities

People

  • T. H. H. Pian

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Buckling
  • Deflection
  • Failure (Mechanics)

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.