ABSTRACT

A numerical method is implemented to cope with the funicular analysis of ribbed masonry vaults under self-weight. A two-layer spatial network with given plan geometry is adopted to account for the load path in the overlying vault and in the supporting ribs. The minimization of the horizontal thrusts is formulated in terms of an independent set of force densities, and in the vertical coordinates of the restrained nodes. Constraints are enforced on the height of the nodes and on the sign of the force densities, to seek anti-funicular networks in equilibrium with the loading that lie within the envelope of the ribbed vault. A stellar masonry vault originally built in the ancient church of Tereske (Hungary) is investigated, comparing results achieved by using either single-layer or two-layer spatial networks.

摘要

实施了一种数值方法来应对自重下带肋砌体拱顶的索道分析。采用具有给定平面几何形状的两层空间网络来考虑上覆拱顶和支撑肋中的载荷路径。水平推力的最小化是根据一组独立的力密度和受约束节点的垂直坐标来制定的。对节点的高度和力密度的符号进行约束，以寻求与肋状拱顶包络内的载荷平衡的反索索网络。研究了最初在 Tereske（匈牙利）古教堂建造的​​恒星砌体拱顶，比较了使用单层或两层空间网络获得的结果。