Optimal Sectional Design of Frame Structures Using Geometric Programming
Publication: Journal of Structural Engineering
Volume 116, Issue 8
Abstract
Taking all cross‐sectional sizes as design variables, the paper presents a method that transforms the original optimal design model of frame structures to standard signomial geometric programming (SGP) through the generalized polynomial approach. The SGP is then solved by the condensationally based cutting‐plane method. To decrease the scale of the problem, the strength constraints are changed to size constraints by the fully stressed design method in the transformation. Several numerical examples are presented, and it is proved that this method is successful.
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References
1.
Arora, J. S., and Haug, E. J. (1976). “Efficient optimal design of structures by generalized steepest decent programming.” Int. J. Numer. Methods in Engrg., 10, 747–766, 1420–1426.
2.
Avriel, M., Demblo, R., and Passy, U. (1975). “Solution of generalized geometric programs.” Int. J. Numer. Methods in Engrg., 9, 149–168.
3.
Beightler, G. S., and Phillips, D. T. (1976). Applied geometric programming. John Wiley and Sons, New York, N.Y.
4.
Dinkel, J. J., Elliott, W. H., and Kochenberger, G. A. (1977). “Computational aspects of cutting‐plane algorithm.” Math. Prog., 13, 220.
5.
Khan, M. R., Thornton, W. A., and Willmert, K. D. (1982). “An optimality criterion technique for structures with multiple design variables per member.” AIAA J., 20(9), 1282–1283.
6.
Pedersen, P., and Jorgensen, L. (1984). “Minimum mass design of elastic frames subjected to multiple laod cases.” Comput. Struct., 18(1), 147–157.
7.
Sui, Y., Zhong, W., and Qian, L. (1983). “Optimum design of structures composed of bars‐membranes‐beams program system DDDU‐2.” J. of Dalian Institute of Technology, 22(1), China.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 116 • Issue 8 • August 1990
Pages: 2292 - 2298
Copyright
Copyright © 1990 ASCE.
History
Published online: Aug 1, 1990
Published in print: Aug 1990
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