In order to provide a good understanding of the damage states of single-layer reticulated domes under earthquake loading, a number of increment dynamic analyses are carried out on domes with different spans, rise-span ratios, roof weights, and other parameters. A model is proposed for the quantitative evaluation of damage. The damage states for single-layer reticulated domes are defined based on their structural dynamic performance and corresponding damage factors. The vulnerability of single-layer reticulated domes is shown using fragility curves with different damage states. A model of probability distribution for seismic hazard, structural damage probability, and various losses, including direct and indirect economic loss and maimed and fatality loss, is discussed for assessing risk. The risk assessment of a single-layer reticulated dome is performed for different seismic intensities for its loss or fatality acceptability.

This paper proposed a novel periodic cellular structure by introducing re-entrant hexagon-shaped honeycombs and Miura origami geometry. The large-scale multi-layer metallic specimens were manufactured by a selective laser melting (SLM) system and tested for the first time. The compression deformation and energy absorption characteristics under quasi-static load were investigated thoroughly, considering three loading directions and various geometric parameters. The results show that this novel structure has balanced mechanical properties in the three loading directions. Among them, the z-direction is the best bearing direction. Moreover, this structure exhibits an obvious three-dimensional negative Poisson's ratio effect during the compression process. Besides the experimental study, the numerical investigation base on ANSYS/LS-DYNA was carried out to provide an accurate and effective simulation method. Predictive formulas for the critical energy absorption indexes were derived by theoretical analysis based on the rigid folding assumption, validated to be well-matched with the experimental results.