TECHNICAL PAPERS
Aug 1, 1989

Optimization of Imperfection‐Sensitive Structures

Publication: Journal of Engineering Mechanics
Volume 115, Issue 8

Abstract

The degrading effect of small shape imperfections on the buckling strength of certain nominally optimized structures is investigated. A general method for such problems is presented, which reduces the imperfection effect to an eigenvalue problem. As an example, the general method is applied to the optimization of a column on a linear elastic foundation. The random shape imperfections are simulated as a weakly stationary stochastic process, with an assumed autocorrelation function, leading to a reliability‐based optimal design. The significant effect of the shape imperfections on the optimal design is demonstrated.

Get full access to this article

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

References

1.
Bracewell, R. N. (1978). The Fourier transform and its applications. McGraw‐Hill, New York, N.Y.
2.
Elishakoff, I. (1979). “Buckling of a stochastically imperfect finite column on a nonlinear elastic foundation.” J. Appl. Mech., 46(2), 411–416.
3.
Gourlay, A. R., and Watson, G. A. (1973). Computational methods for matrix eigenproblems. Wiley and Sons, New York, N.Y.
4.
Harr, M. E. (1987). Reliability based design in civil engineering. McGraw‐Hill, New York, N.Y.
5.
Hunt, G. W. (1986). “Hidden asymmetries of elastic and plastic bifurcation.” Appl. Mech. Rev., 39(8), 1165–1186.
6.
Hutchinson, J. W., and Koiter, W. T. (1970). “Postbuckling theory.” Appl. Mech. Rev., 23, 1353–1366.
7.
Koiter, W. T. (1963). “Elastic stability and post‐buckling behavior.” Non‐linear Problems, R. E. Langer, ed., Univ. of Wisconsin Press, Madison, Wisc.
8.
Mota Soares, C. A., ed. (1987). Computer aided optimal design. NATO Advanced Study Inst. Series, Springer‐Verlag, New York, N.Y.
9.
Palassopoulos, G. V. (1973). “On the buckling of axially compressed thin cylindrical shells.” J. Struct. Mech., 2(3), 177–193.
10.
Palassopoulos, G. V. (1980). “A probabilistic approach to the buckling of thin cylindrical shells with general random imperfections: Solution of the corresponding deterministic problem.” Theory of Shells, W. T. Koiter and G. K. Mikhailov, eds., North‐Holland, Amsterdam, The Netherlands, 417–443.
11.
Palassopoulos, G. V., and Shinozuka, M. (1973). “On the elastic stability of thin shells.” J. Struct. Mech., 1(4), 439–449.
12.
Reddy, J. N. (1986). Applied functional analysis and variational methods in engineering. McGraw‐Hill, New York, N.Y.
13.
Thompson, J. M. T., and Hunt, G. W. (1973). A general theory of elastic stability. Wiley and Sons, New York, N.Y.
14.
Thompson, J. M. T. (1982). Instabilities and catastrophes in science and engineering. Wiley and Sons, New York, N.Y.
15.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGrawffill, New York, N.Y.
16.
Yaglom, A. M. (1962). Stationary random functions. Dover, New York, N.Y.
17.
Yamaki N. (1984). Elastic stability of circular cylindrical shells. North‐Holland, New York, N.Y.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 8August 1989
Pages: 1663 - 1682

History

Published online: Aug 1, 1989
Published in print: Aug 1989

Permissions

Request permissions for this article.

Authors

Affiliations

G. V. Palassopoulos, Member, ASCE
Prof., Dept. of Appl. Mech., Military Acad. of Greece, 41 Blessa St., Papagos, Athens 15669, Greece

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