The paper deals with the limit analysis of structures made of rigid blocks interacting through no-tension and frictional contact surfaces performed using mathematical programming methods. The presence of friction makes the problem non-linear and non-convex. It shown that a proper choice of the initial guess for the variables of the non-linear program enables the convergence to the optimal solution. The initial variables are evaluated as the outputs of a linear program corresponding to the limit analysis of the same assembly of blocks with dilatancy along the joints, instead of friction. Various analyses show the validity of the procedure and the effectiveness of the limit analysis approach for studying the collapse behaviour of real three-dimensional stone masonry structures.
Il lavoro si inquadra nell'analisi limite di strutture di blocchi rigidi con contatti monolateri dotati di attrito. Nella procedura numerica la presenza di attrito rende il problema non lineare e non convesso. Si dimostra che una opportuna scelta del valore iniziale delle variabili rende possibile la convergenza alla soluzione ottima. I valori iniziali sono ottenuti come soluzione di una procedura di ottimizzazione dello stesso assemblaggio di corpi con dilatanza al posto dell'attrito. Alcuni esempi dimostrano la validità della procedura e la utilità dell'analisi limite nello studio del comportamento al collasso di realistici assemblaggi tridimensionali di strutture murarie.
Trovalusci, P., Baggio, C. (2004). LIMIT ANALYSIS FOR THREE-DIMENSIONAL STONE MASONRY STRUCTURES WITH FRICTION. In Proceedings of 13th International Brick/Block Masonry Conference.
LIMIT ANALYSIS FOR THREE-DIMENSIONAL STONE MASONRY STRUCTURES WITH FRICTION
BAGGIO, Carlo
2004-01-01
Abstract
The paper deals with the limit analysis of structures made of rigid blocks interacting through no-tension and frictional contact surfaces performed using mathematical programming methods. The presence of friction makes the problem non-linear and non-convex. It shown that a proper choice of the initial guess for the variables of the non-linear program enables the convergence to the optimal solution. The initial variables are evaluated as the outputs of a linear program corresponding to the limit analysis of the same assembly of blocks with dilatancy along the joints, instead of friction. Various analyses show the validity of the procedure and the effectiveness of the limit analysis approach for studying the collapse behaviour of real three-dimensional stone masonry structures.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.