TECHNICAL PAPERS
Jun 1, 1991

Optimal Steel Frame Design by Simulated Annealing

Publication: Journal of Structural Engineering
Volume 117, Issue 6

Abstract

A simulated annealing strategy is developed for use in the discrete optimization of three‐dimensional steel frames. This strategy randomly perturbs the current design to create a candidate design. A probabilistic acceptance criterion is then employed to determine whether the candidate design should replace the current design or be rejected. This acceptance criterion allows worse designs to be accepted in the initial stages of the strategy. The likelihood of accepting worse designs is small in the final stages of the strategy. The strategy is presented and illustrated on a three‐dimensional, six‐story, unsymmetrical frame. The frame is realistically loaded with gravity and seismic loads. Members in the frame must be selected from among discrete standardized shapes. The strategy is able to treat multiple section properties per member without having to curve‐fit dependent properties as functions of a single independent property. Performance of the strategy is compared to that of the branch‐and‐bound method. Approximation techniques aimed at reducing computation time are investigated.

Get full access to this article

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

References

1.
Aarts, E., and Korst, J. (1989). Simulated annealing and boltzmann machines: A stochastic approach to combinatorial optimization and neural computing. Wiley, New York, N.Y.
2.
Balling, R. J., and Fonseca, F. (1989). “Discrete optimization of 3D steel frames.” Computer Utilization in Structural Engineering, ASCE, New York, N.Y., 458–467.
3.
Grierson, D. E., and Lee, W. H. (1986). “Optimal synthesis of frameworks under elastic and plastic performance constraints using discrete sections.” J. Struct. Mech., 14(4), 401–420.
4.
Hager, K., and Balling, R. J. (1988). “New approach for discrete structural optimization.” J. Struct. Engrg., ASCE, 114(5), 1120–1134.
5.
Hua, H. M. (1983). “Optimization for structures of discrete‐sized elements.” Comput. Struct., 17(3), 327–333.
6.
Kirkpatrick, S., Gelatt, C. D., and Vecchi, M. P. (1983). “Optimization by simulated annealing.” Science, 220(4598), 671–680.
7.
Liebman, J. S., Khachaturian, N., and Chanaratna, V. (1981). “Discrete structural optimization.” J. Struct. Engrg., ASCE, 107(11), 2177–2197.
8.
Manual of steel construction. (1980). 8th Ed., American Institute of Steel Construction, Chicago, Ill.
9.
Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., and Teller, E. (1953). J. Chemical Physics, 21, 1087.
10.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1986). Numerical recipes: The art of scientific computing. Cambridge University Press, Cambridge, United Kingdom.
11.
Reinschmidt, K. F. (1971). “Discrete structural optimization.” J. Struct. Engrg., ASCE, 97(1), 133–156.
12.
Sechen, C., and Sangiovanni‐Vincentelli, A. (1985). “The timberwolf placement and routing package.” J. Solid‐State Circuits, 20(2), 510–522.
13.
Uniform building code. (1988). Proc. Int. Conf. of Building Officials.
14.
Vanderplaats, G. N., and Salajegheh, E. (1989). “New approximation method for stress constraints in structural synthesis.” AIAA J., 27(3), 352–358.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 6June 1991
Pages: 1780 - 1795

History

Published online: Jun 1, 1991
Published in print: Jun 1991

Permissions

Request permissions for this article.

Authors

Affiliations

Richard J. Balling, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Brigham Young Univ., Provo, UT 84602

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