In this paper we will carry out an analysis of the ultimate limit state of space reticular structures built of bars with random imperfections of a geometrical kind.
Reference is first made to structures that are optimized through an analytic procedure based on the minimization of the volumes of those bars, which, in collapsing, transform the structure into a mechanism.
An analysis of simulated structures is hence carried out. Such an analysis allows to define the distribution of collapse multipliers, from which it is possible to determine the collapse multiplier of the structure.
MakowskiZ., Analysis, design and construction of double-layer grids, Ed. Applied Science Publishers, London, 1981.
3.
La TegolaA., Design problems of space reticular structures, Proceedings of the 2nd International Conference on Space Structures, Guilford, U.K.
4.
La TegolaA., Probability analysis of braced barrel vaults composed of random strength elements, Course on the Analysis, Design and Construction of Braced Barrel Vaults, University of Surrey, Department of Civil Engineering, Vol. II, 1983.
5.
GioncuV., Instability behaviour of triangulated barrel vaults, Proceedings of the “Traian Vuja” Polythecnic Institute of Timisoara, Romania.
6.
La TegolaA., Il calcolo a collasso delle strutture con imperfezioni random, Il Giornale del Genio Civile, no. 1–2–3, Roma, 1979.
7.
La TegolaA., Analisi incrementale di strutture reticolari metalliche in campo plastico con aste in regime post-critico, Il Giomale del Genio Civile, no. 7–8–9, Roma, 1972.
8.
La TegolaA., and Di TommasoA., Double-layer space frame shells, Proceedings of the 9th Congress IABSE, Amsterdam, 1972.
9.
La TegolaA., and OlivetoG., Premessa alio studio delle strutture reticolari spaziali in fase post-critica, Rapporta al Comegno CMR “Plasticita”, Milano, 1972.
10.
La TegolaA., and BadalaA., Sul carico di collasso di strutture costituite da materiale a resistenza aleatoria, Atti dell'lstituto di Scienza delle Construzioni, Universita di Catania.
11.
La TegolaA., Calculus problems for discrete space structures with elements having a random behaviour, Proceedings of the 3rd International Conference on Space Structures, Guilford, U.K., 1984.
