Impacts analysis in the rocking of masonry circular arches
Paolo Bisegna, Simona Coccia, Mario Como, Nicola Nodargidownload PDF
Abstract. The in-plane rocking of a masonry arch is studied. The starting motion of the arch is assumed to take place along the four-link failure mechanism u corresponding to a constant distribution of horizontal loads proportional to the arch self-weight. During such a motion, if overturning does not occur, the arch returns to the undeformed configuration, with all the hinges of the mechanism u simultaneously closing. At such an instant, impacts occur, implying a motion exchange and a subsequent movement of the arch along a new four-link mechanism u’. A novel impact model, different from the one available in literature, is here proposed. The restitution coefficient is computed by applying the linear and angular momentum impulse theorems. The rocking mechanism u’ of the arch after the impact is determined under the condition of minimum energy expense at the impact.
Masonry, Circular Arch, No Tension Material, Rocking, Restitution Coefficient
Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Paolo Bisegna, Simona Coccia, Mario Como, Nicola Nodargi, Impacts analysis in the rocking of masonry circular arches, Materials Research Proceedings, Vol. 26, pp 331-336, 2023
The article was published as article 54 of the book Theoretical and Applied Mechanics
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 G.W. Housner, The behaviour of inverted pendulum structures during earthquakes. Bulletin of the Seismological Society of America, 53(2), 403-417, 1963. https://doi.org/10.1785/BSSA0530020403
 I.J. Oppenheim, The masonry arch as a de mechanism under base motion. Earthquake Engineering and Structural Dynamics, 21, 1005-1017, 1992. https://doi.org/10.1002/eqe.4290211105
 L. De Lorenzis, M. DeJong, J. Ochsendorf, Failure of masonry arches under impulse base motion. Earthquake Engineering and Structural Dynamics, 36, 2119–2136, 2007. https://doi.org/10.1002/eqe.719
 M.J. DeJong, L. De Lorenzis, S. Adams, J.A. Ochsendorf, Rocking Stability of Masonry Arches in Seismic Regions. Earthquake Spectra, 24(4), 847–865, 2008. https://doi.org/10.1193/1.2985763
 L.P. Kollár, T. Ther, Numerical model and dynamic analysis of multi degree of freedom masonry arches, Earthquake Engineering & Structural Dynamics, 48(7), 709-730, 2019. https://doi.org/10.1002/eqe.3158
 M. Como, Statics of Historic masonry Constructions, 3rd ed., Springer, Heidelberg, 2017. https://doi.org/10.1007/978-3-319-54738-1