Multiobjective Optimization of Prestressed Concrete Structures
Publication: Journal of Structural Engineering
Volume 119, Issue 3
Abstract
This paper presents a practical and efficient approach to the optimization of prestressed concrete structures if two or more (possibly conflicting) objectives must simultaneously be satisfied. The most relevant objective function is adopted as the primary criterion, and the other objective functions are transformed into constraints by imposing some lower and upper bounds on them. The single‐objective optimization problem is then solved by the projected Lagrangian algorithm. Two numerical examples illustrate the application of the approach to the design of a posttensioned floor slab and a pretensioned highway bridge system for two conflicting objectives: minimum cost and minimum initial camber. The Pareto optima achieve a compromise between the two conflicting objectives and represent more rational solutions than those obtained by independent optimizing each objective function.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Brook. A., Kendruck, D., and Meeraus, A. (1988). GAMS‐general algebraic modelling system, a user's guide, Scientific Press, Redwood City, Calif.
2.
“Building code requirements for reinforced concrete.” (1989). ACI 318‐89, American Concrete Institute (ACI), Detroit, Mich.
3.
Carmichael, D. G. (1980). “Computation of Pareto optima in structural design.” Int. J. Numer. Methods Engrg., 15(6), 925–929.
4.
Cohn, M. Z. (1992). “Theory and practice of structural optimization.” Proc, NATO‐ASI optimization of large‐scale systems. 2, G. Rozvany, ed., Kluwer Academic Publ., Dordrecht, The Netherlands, 843–862.
5.
Duckstein, L. (1984). “Multiobjective optimization in structural design: The model choice problem.” New directions in optimum structural design, Atrek et al., eds., J. Wiley and Sons, New York, N.Y., 459–481.
6.
Eschenauer, H., Koski, J., and Osyczka, A. (1990). Multicriteria design optimization. Springer Verlag, Berlin, Germany.
7.
Gill, P. E., Murray, W., and Wright, M. H. (1981). Practical optimization. Academic Press Inc., London, England.
8.
Goble, G. G., and Lapay, W. S. (1971). “Optimum design of prestressed beams.” ACI J., 68(9), 712–718.
9.
Koski, J. (1984). “Multiobjective optimization is structural design.” New directions in optimum structural design, Atrek et al., eds., J. Wiley and Sons, New York, N.Y., 483–503.
10.
Levy, R., and Lev, O. E. (1987). “Recent developments in structural optimization.” J. Struct. Engrg., ASCE, 193(9), 1939–1962.
11.
Lounis, Z., and Cohn, M. Z. (1992). “Optimal design of prestressed concrete highway bridge girders.” Proc., 3rd Int. Symp. on Concrete Bridge Des., Washington, D.C.
12.
Morris, A. J. (1982). Foundations of structural optimization: A unified approach. John Wiley and Sons, New York, N.Y.
13.
Murtagh, B. A. (1981). Advanced linear programming. McGraw‐Hill Inc., New York, N.Y.
14.
Murtagh, B. A., and Saunders, M. A. (1977). MINOS—A large scale nonlinear programming system TR SOL 77‐9. Dept. of Operations Research, Stanford Univ., Stanford, Calif.
15.
Murtagh, B. A., and Saunders, M. A. (1978). “Large scale linearly constrained optimization.” Math. Program., 14, 41–72.
16.
Murtagh, B. A., and Saunders, M. A. (1980). MINOS/augmented TR SOL 80‐9. Dept. of Operations Research, Stanford Univ., Stanford, Calif.
17.
Naaman, A. E. (1976). “Minimum cost versus minimum weight of prestressed slabs.” J. Struct. Div., ASCE, 102(7), 1493–1505.
18.
Ontario highway bridge design code and commentary, 2nd ed. (1983). Ministry of Transportation and Communications, Downsview, Ontario, Canada.
19.
Osyczka, A. (1984). Multicriterion optimization in engineering. Ellis Horwood Ltd., Chichester, England.
20.
Templeman, A. B. (1983). “Optimization methods in structural design practice.” J. Struct. Engrg., ASCE, 109(10), 2420–2433.
21.
Waltz, F. M. (1967). “An engineering approach: Hierarchical optimization criteria.” IEEE Trans., Autom. Control, 8, 59–60.
22.
Zadeh, L. A. (1963). “Optimality and non‐scalar‐valued performance criteria.” IEEE Trans. Autom. Control, 12, 179–180.
Information & Authors
Information
Published In
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Apr 10, 1992
Published online: Mar 1, 1993
Published in print: Mar 1993
Authors
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.