On the Optimality Criteria for Archgrids
Publication: Journal of Structural Engineering
Volume 112, Issue 1
Abstract
The optimization of an archgrid consisting of a system of parallel arches running in a number of arbitrary directions is presented. It is established that the archgrid must finish with a single middle surface in the optimal solution even though the possibility of separate layers of arches is allowed in the formulation. The possibility of some arches becoming vanishing ones (of zero m cross sections) is also taken into account. It is shown that mean square slopes of vanishing arches are not to exceed unity for any one arch, while those of nonvanishing ones are equal to unity. Implicit in the derivation of these conditions are: (1) The loading system is perpendicular to the reference plane containing the support of all arches: and (2) any one arch is contained in the plane of the loading system, and its reaction component parallel to the reference plane is constant along its entire length. Two examples of optimal shapes of archgrids over square and rectangular domains consisting of arches running in four equally inclined directions are presented.
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References
1.
Rozvany, G. I. N., and Prager, W., “A New Class of Structural Optimization Problems: Optimal Archgrids,” Computer Methods in Applied Mechanics and Engineering, Vol. 19, 1979, pp. 127–150.
2.
Rozvany, G. I. N., Wang, C. M., and Dow, M., “Prager‐Structures: Archgrids and Cable Networks of Optimal Layout,” Computer Methods in Applied Mechanics and Engineering, Vol. 31, 1982, pp. 91–113.
3.
Wang, C. M., Alwis, W. A. M., and Rozvany, G. I. N., “Minimum Weight Design of Fully Stressed Archgrids,” Proceedings of the Sept. 11–14, 1984, 3rd International Conference on Space Structures, held at the Univ. of Surrey, Guildford, England, H. Nooshin, Ed., Elsevier Applied Science Publishers, 1984, pp. 713–718.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 112 • Issue 1 • January 1986
Pages: 185 - 189
Copyright
Copyright © 1986 ASCE.
History
Published online: Jan 1, 1986
Published in print: Jan 1986
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