A non-smooth-contact-dynamics analysis of Brunelleschi’s cupola: an octagonal vault or a circular dome?

Beatini, Valentina, Royer-Carfagni, Gianni and Tasora, Alessandro (2019) A non-smooth-contact-dynamics analysis of Brunelleschi’s cupola: an octagonal vault or a circular dome? Meccanica, 54 (3). pp. 525-547. ISSN 0025-6455

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Official URL: https://doi.org/10.1007/s11012-018-00934-9


The cupola (dome) of Santa Maria del Fiore in Florence was ingeniously constructed by Brunelleschi using a conical bricklaying, radial-oriented toward a focus point on the central axis. Therefore, the dome is built as a surface of revolution but with parts cut away to leave the octagonal cluster vault form. This circular arrangement is compared with an octagonal horizontal corbelling in models where the dome is schematized as an assembly of rigid-blocks in frictional contact, analyzed with a Non-Smooth-Contact-Dynamics approach. The high indeterminacy of the contact reactions implies considerable difficulties in their determination, which are faced via a regularization procedure by adding a compliance at the contact points in representation of the deformability of the mortar joints. Numerical experiments, performed with a custom software, highlight the uniform flow of forces in the Brunelleschi arrangement, but evidence the disturbances induced by the herringbone spirals, mainly used for construction purposes, which are overloaded along the meridians and very weak in the direction of the parallels. This is due to the vertical narrow disposal of the blocks, which increases the stiffness in meridional direction, but diminishes the capacity of the friction-induced forces to equilibrate the hoop stress.

Item Type: Article
Uncontrolled Keywords: Dome, Masonry, Friction, Brunelleschi, Rigid body mechanics, Non-smooth contact dynamics
Subjects: K100 Architecture
K200 Building
Department: Faculties > Engineering and Environment > Architecture and Built Environment
Related URLs:
Depositing User: Elena Carlaw
Date Deposited: 04 Mar 2019 11:43
Last Modified: 31 Jul 2021 19:48
URI: http://nrl.northumbria.ac.uk/id/eprint/38273

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