Abstract
A dynamic analysis procedure for hinge-controlled masonry arches subjected to horizontal acceleration profiles is developed. Constructed from the principle of energy conservation, the establishment of equivalent systems and the path independence of conservative work, a time-incremental analysis structure is established for kinematic propagation. Equivalent systems are defined through combining kinematic equilibrium with static deformations of the single degree of freedom mechanism through parametric plotting. This generates the minimum work required to propagate the arch towards collapse. For a constant acceleration above the static limit, energy conservation requires the transformation of excess work' into kinetic energy. The path independence of work creates a spatial kinetic energy equation that is used to establish the time domain of the system. Knowing the initial position and kinetic energy thus allows the final position and kinetic energy to be determined for the time increment. A new constant acceleration and timestep then propagates the behaviour through the acceleration profile.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Proceedings of the Institution of Civil Engineers - Structures and Buildings
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
