Article: Dynamic modelling structure of hinge-controlled masonry arches and 2D accelerations Journal: International Journal of Masonry Research and Innovation (IJMRI) 2021 Vol.6 No.3 pp.255 - 284 Abstract: Engineering efficiency is paramount for the introduction of novel systems and formats of analysis. This work extends an accessible and efficient analysis platform by combining the kinematic equilibrium approach of limit analysis with the single degree of freedom nature of a hinge-controlled masonry arch to perform dynamic modelling of applied two-dimensional acceleration vectors. Utilising ideal conditions, minimum work-paths are formulated to describe the work required to drive the arch to collapse. Then, assuming conservative work allows the formation of a spatial description of kinetic energy, and ultimately the establishment of the time domain for constant 2D accelerations. A dynamic time incremental analysis structure is then formulated based upon the assumption of constant acceleration for each time step. This dynamic model propagates the centroid displacement and kinetic energy through an applied acceleration sequence. Lastly, the dynamic model under ideal conditions is tested for validity through half-cycle collapse domain benchmark and the conservation of energy. Inderscience Publishers - linking academia, business and industry through research

Title: Dynamic modelling structure of hinge-controlled masonry arches and 2D accelerations

Authors: Gabriel Stockdale; Gabriele Milani; Vasilis Sarhosis

Addresses: Department of Architecture, Built Environment and Construction Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy ' Department of Architecture, Built Environment and Construction Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy ' School of Civil Engineering, University of Leeds, LS2-9JT, UK

Abstract: Engineering efficiency is paramount for the introduction of novel systems and formats of analysis. This work extends an accessible and efficient analysis platform by combining the kinematic equilibrium approach of limit analysis with the single degree of freedom nature of a hinge-controlled masonry arch to perform dynamic modelling of applied two-dimensional acceleration vectors. Utilising ideal conditions, minimum work-paths are formulated to describe the work required to drive the arch to collapse. Then, assuming conservative work allows the formation of a spatial description of kinetic energy, and ultimately the establishment of the time domain for constant 2D accelerations. A dynamic time incremental analysis structure is then formulated based upon the assumption of constant acceleration for each time step. This dynamic model propagates the centroid displacement and kinetic energy through an applied acceleration sequence. Lastly, the dynamic model under ideal conditions is tested for validity through half-cycle collapse domain benchmark and the conservation of energy.

Keywords: near-real time analysis; dynamic analysis; kinematic collapse load calculator; KCLC; seismic analysis; masonry arch.

DOI: 10.1504/IJMRI.2021.116191

International Journal of Masonry Research and Innovation, 2021 Vol.6 No.3, pp.255 - 284

Received: 30 Nov 2019
Accepted: 06 May 2020
Published online: 13 Jul 2021 *

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Title: Dynamic modelling structure of hinge-controlled masonry arches and 2D accelerations

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