engleski

Geometry generation and modelling of non-standard cross vaults

Zagreb Cathedral was severely damaged by the 5.4 magnitude earthquake on March 22, 2020. Thechurch had already been hit by a severe earthquake in 1880 and was restored in the neo-Gothic stylewith cross vaults and arches supported by slender columns. In the restoration, the spatial connectionbetween the load-bearing elements was poorly executed and the structural system for horizontal loadshas not been significantly improved, which resulted in serious damage from the new earthquake. Forthe purposes of a new reconstruction, a structural analysis of the Cathedral is currently being done usingthe distinct element method (DEM). This paper focuses on the geometry of blocks that form a crossvault. The available solutions for the automatic generation of masonry geometries developed inGrasshopper are mostly focused on the generation of walls [4] or barrel vaults. The vaults in ZagrebCathedral are non-standard cross vaults that are not square in plan, but strongly rectangular. The crownsof orthogonal barrel vaults that form a cross vault are not at the same height and some are not horizontal.Since the block arrangement in vaults (stereotomy) is of great influence on the behaviour of cross vaults(less depending on mechanical properties [5]), this paper proposes a different definition of groins ofuntypical cross vaults. Finally, results (failure mechanism) of a numerical model for the cross vault aftertime history analysis obtained with 3DEC software are shown.

gothic cathedral ; cross vaults ; distinct element method ; block arrangement ; collapse mechanism

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