TECHNICAL PAPERS
Mar 1, 1992

Dimensional Analysis of Buckling of Stiffened Composite Shells

Publication: Journal of Engineering Mechanics
Volume 118, Issue 3

Abstract

Dimensional analysis is applied to a simple model of stiffened laminated cylindrical shells to determine the dimensionless parameters that characterize the buckling of these structures. Donnell shell theory is used to describe the kinematic deformation of the shells. The axial and ring stiffeners are modeled using the smeared technique. A nondimensional load is defined as a function of nine nondimensional parameters, which are a combination of the material and geometric properties of the shell. Additional assumptions regarding the construction of the shell walls can be used to reduce the number of nondimensional parameters. Some simply supported shells subjected to hydrostatic pressure are examined to demonstrate the use of the dimensionless parameters. Estimates of the imperfection sensitivity of these shells are made using Koiter's asymptotic theory. The dimensional analysis provides a framework for the systematic investigation of the relationship between material, geometry and the buckling loads of stiffened composite shells. The results of this analysis are intended to provide information that can be used in the preliminary stages of a shell design.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Azzi, V. D., and Tsai, S. W. (1965). “Elastic moduli of laminated anisotropic composites.” Experimental Mech., 5((June), 177–185.
2.
Baruch, M., and Singer, J. (1963). “Effect of eccentricity of stiffeners on the general instability of stiffened cylindrical shells under hydrostatic pressure.” J. Mech. Engrg. Set, 5(1), 23–27.
3.
Batdorf, S. B. (1947). “A simplified method of elastic‐stability analysis for thin cylindrical shells.” NACA Technical Report No. 874, U.S. Nat. Advisory Committee for Aeronautics, 285–309.
4.
Brush, D. O., and Almroth, B. O. (1975). Buckling of bars, plates and shell. McGraw‐Hill.
5.
Bushnell, D. (1985). “Bosor4—Program for stress, stability, and vibration of complex, branched shells of revolution.” Structural analysis systems—Volume 2, A. Niku‐Lari, ed., Pergamon Press, New York, N.Y., 25–54.
6.
Donnell, L. H. (1934). “Stability of thin‐walled tubes under torsion.” NACA Technical Report No. 479 .
7.
Hutchinson, J. W., and Amazigo, C. (1967). “Imperfection sensitivity of eccentrically stiffened cylindrical shells.” AIAA J., 3, 392–401.
8.
Jones, R. M. (1968). “Buckling of circular cylindrical shells with multiple orthotropic layers and eccentric stiffeners.” AIAA J., 6, 2301–2304.
9.
Jones, R. M. (1975). Mechanics of composite materials. Hemisphere Publishing Corp.
10.
Koiter, W. T. (1967). “On the stability of elastic equilibrium,” thesis presented at Delft, The Netherlands, in partial fulfillment of the requirements of the degree of Doctor of Philosophy.
11.
Simitses, G. J., and Aswani, M. (1974). “Buckling of thin cylinders under uniform loading.” J. Appl. Mech., 41(3), 827–829.
12.
Wolfram, S. (1988). Mathematica—A system for doing mathematics by computer. Addison‐Wesley Publishing Co., Redwood City, Calif.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 118Issue 3March 1992
Pages: 557 - 574

History

Published online: Mar 1, 1992
Published in print: Mar 1992

Permissions

Request permissions for this article.

Authors

Affiliations

B. Moradi
Res. Asst., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, IL 61801
I. D. Parsons
Asst. Prof., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, IL

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share