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

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