The nonlinear partial differential equations of von Karman and Donnell governing the deformations of initially imperfect cylindrical shells are reduced to a consistent set of ordinary differential equations. A numerical procedure is then used to solve the equations together with the associated boundary conditions and to determine the number of waves at buckling as well as the load-carrying capacity of imperfect cylindrical shells of finite length subjected to uniform axial compression in the presence of a reduced restraint along the simply supported boundaries. It is found that details of the boundary conditions have little effect on the number of waves into which the shell buckles around the circumference. This number is determined essentially by the length-to-radius and radius-to-thickness ratios. The absence of an edge restraint to circumferential displacement reduces the classical value of the buckling load by a factor of about two. On the other hand, shells with these boundary conditions appear to be less sensitive to initial imperfections in the shape, and thus the maximal load supported in the presence of unavoidable initial deviations can be the same for shells with and without a restraint to circumferential displacements along the edges.
Skip Nav Destination
Article navigation
March 1971
Research Papers
Snapping of Imperfect Thin-Walled Circular Cylindrical Shells of Finite Length
K. Y. Narasimhan,
K. Y. Narasimhan
Department of Aeronautics and Astronautics, Stanford University, Stanford, Calif.
Search for other works by this author on:
N. J. Hoff
N. J. Hoff
Department of Aeronautics and Astronautics, Stanford University, Stanford, Calif.
Search for other works by this author on:
K. Y. Narasimhan
Department of Aeronautics and Astronautics, Stanford University, Stanford, Calif.
N. J. Hoff
Department of Aeronautics and Astronautics, Stanford University, Stanford, Calif.
J. Appl. Mech. Mar 1971, 38(1): 162-171 (10 pages)
Published Online: March 1, 1971
Article history
Received:
December 31, 1969
Revised:
March 20, 1970
Online:
July 12, 2010
Citation
Narasimhan, K. Y., and Hoff, N. J. (March 1, 1971). "Snapping of Imperfect Thin-Walled Circular Cylindrical Shells of Finite Length." ASME. J. Appl. Mech. March 1971; 38(1): 162–171. https://doi.org/10.1115/1.3408738
Download citation file:
Get Email Alerts
Related Articles
Perturbation Solutions for the Buckling Problems of Axially Compressed Thin Cylindrical Shells of Infinite or Finite Length
J. Appl. Mech (December,1968)
Buckling of Circular Cylindrical Shells Using a Displacement Function
J. Eng. Ind (November,1974)
On the Buckling of Axially Compressed Imperfect Cylindrical Shells
J. Appl. Mech (September,1974)
Buckling of Composite and Homogeneous Isotropic Cylindrical Shells Under Axial and Radial Loading
J. Appl. Mech (December,1969)
Related Proceedings Papers
Related Chapters
Members in Compression
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels
Cellular Automata: In-Depth Overview
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20