Global Stability Behaviour of Single-Layer Reticulated Domes Created Using a New Nomenclature

Abstract

The primary objective of the paper is to investigate the post buckled behaviour of the single-layered Kite geometry dome developed using a novel crystallographic parameterisation principle. Both triangulated and non-triangulated domes are evolved based on the crystallographic parameterisation principles. It brings in a unique nomenclature for identifying different tessellations in reticulated single-layer dome configurations. This nomenclature brings in a physical meaning to dome tessellations instead of being called by the inventors such as Schwedler dome etc. In this paper, the effect of surface pattern on the load capacity of dome configuration is demonstrated with the comparison of domes having different surface patterns. The comparison of post-buckling behaviour of two different single-layer dome configurations - Kiewitt dome and Kite dome is presented. Despite having rigid nodal joints, the load capacity of the dome is significantly reduced when subjected to unsymmetrical and collateral loads due to the localised effect of these loads and the increased chance of snap-through compared to symmetrical uniform loading acting all over the structure. The Kite geometry have higher performance under uniform gravity loading with a low rise to span ratio.

Imperfection Sensitivity of Non-Triangulated Cylindrical Shell Configurations

“…A nomenclature was derived from the parameters to differentiate between different shell configurations [14]. They are based on the variation in the edge valency.…”

The effect of edge valency on the load resistance of single-layer reticulated cylindrical shells

“…The three parameters are helpful in creating different single-layer reticulated shell configurations (Figure 4). As the parameters vary for each configuration, a nomenclature can be generated based on the selected parameters, such as valency, so that the nomenclature itself can describe the important properties of the configuration [21].…”

“…Figure 4: Types of parameterised reticulated cylindrical shells used in the study. Nomenclature [21] based on parameterisation principles is provided along with each cylindrical shell can be included in the nomenclature to obtain the complete details of a reticulated shell configuration.…”

“…The connectivity between the members can be redefined based on the parameter "Valency", one of the 'parameters of structures' defined by Loeb [20]. Parameters such as valency are helpful in creating different non-triangulated dome configurations [21]. Load capacity, material use, redundancy, stress distribution, and aesthetic appearance will vary among these reticulated shell structures.…”