A set of accurate buckling equations recently developed by the authors is used to compute the buckling loads of axially compressed circular cylindrical shells subject to “relaxed,” incremental boundary conditions. Over a large range of values of the length to radius ratio, L/R, the buckling loads are essentially 1/2 of the classical value, as has been found by many previous investigators using the simplified Donnell buckling equations. However, it is shown that as L/R → 0 or as L/R → ∞, the buckling loads approach zero, in contrast to the behavior predicted by the Donnell equations. The correct behavior as L/R → 0, first discovered by Koiter, may be interpreted as the buckling of a ring-beam constrained between two rigid, concentric, frictionless cylinders. The behavior as L/R → ∞ simply represents Euler column buckling.
Skip Nav Destination
Article navigation
March 1970
Research Papers
New Results for the Buckling Loads of Axially Compressed Cylindrical Shells Subject to Relaxed Boundary Conditions
J. G. Simmonds,
J. G. Simmonds
Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville, Va.
Search for other works by this author on:
D. A. Danielson
D. A. Danielson
Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville, Va.
Search for other works by this author on:
J. G. Simmonds
Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville, Va.
D. A. Danielson
Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville, Va.
J. Appl. Mech. Mar 1970, 37(1): 93-100 (8 pages)
Published Online: March 1, 1970
Article history
Received:
April 22, 1969
Revised:
September 23, 1969
Online:
July 12, 2010
Citation
Simmonds, J. G., and Danielson, D. A. (March 1, 1970). "New Results for the Buckling Loads of Axially Compressed Cylindrical Shells Subject to Relaxed Boundary Conditions." ASME. J. Appl. Mech. March 1970; 37(1): 93–100. https://doi.org/10.1115/1.3408495
Download citation file:
Get Email Alerts
Related Articles
Buckling of Circular Cylindrical Shells Using a Displacement Function
J. Eng. Ind (November,1974)
Buckling of Composite and Homogeneous Isotropic Cylindrical Shells Under Axial and Radial Loading
J. Appl. Mech (December,1969)
Perturbation Solutions for the Buckling Problems of Axially Compressed Thin Cylindrical Shells of Infinite or Finite Length
J. Appl. Mech (December,1968)
The Axial Compressive Response of Thin, Elastic, Polygonal Shells
J. Appl. Mech (June,2024)
Related Proceedings Papers
Related Chapters
Mechanics of Long Beam Columns
Mechanics of Drillstrings and Marine Risers
Analysis of Cylindrical Shells
Stress in ASME Pressure Vessels, Boilers, and Nuclear Components
Fully Plastic J-Integrals for Through-Wall Axial Cracks in Pipes
Fatigue and Fracture Mechanics: 29th Volume