Sustainable Shaping of Lightweight Structures Created According to Different Methods

Abstract

This paper presents the problem of the efficient shaping of spherical structures of geodesic domes, which is the basis for creating a regular octahedron, in the aspect of sustainable development. The proposed two methods of shaping covered by this study differ in the way the dividing points of the initial edges of the regular octahedron are connected, and, therefore, in the way the sphere is shaped. Using different methods, two families of domes with different lengths of struts but with a similar number of them were obtained. The conducted comparative analysis leads to the indication of this method of shaping the topology, thanks to which it is possible to obtain structures with less consumption of construction material, and, consequently, with less weight. Both the geometry and weight indicate the advantages of geodesic domes created using the first subdivision method. The selection of the appropriate method of shaping geodesic domes is a consequence of a sustainable design strategy. The presented structures in the form of geodesic domes, the basis of which is a regular octahedron, can be original, innovative coverings, while the detailed analysis carried out is intended to provide design guidelines that will facilitate both architects and designers.

Analysis of Lightweight Structure Mesh Topology of Geodesic Domes

“…The geodesic domes were 49.97 m wide and 25.0 m high, but they had different mesh topologies depending on the method of dividing. In the numerical model, the maximal shape of finite elements did not exceed 0.5 m, as in the studies in [46,47,49].…”

“…In turn, the height of the dome changes the length of its elements (Saka [28]). However, adapting the cross-section of strut elements directly affects the weight of the covering, which is presented in this paper and in the paper by Bysiec [47].…”

“…The studied domes, thanks to their structure, constitute an exciting research field, which is supported by numerous works, e.g., Pilarska [44][45][46], Bysiec [47], Pilarska and Maleska [49], Bysiec et al [50], and Bysiec and Maleska [51]. The problem in this type of structure is optimizing these facilities in terms of steel consumption, which in turn affects the carbon footprint.…”

“…Generally, the regular octahedron is more complicated in the process of creating domes but the shape is more effective than in the case of the dodecahedron, which is the biggest advantage of this structure. Until now, the octahedron was analyzed only by Pilarska [44][45][46] and Bysiec [47]. Based on this research, the paper presents in detail the process of creating the mesh topology of geodesic dome grids, using the example of two structures, a 4608-hedron and a 4704-hedron.…”

Analysis of Strength and Resistance to Loss of Stability of Thin‐Walled Channel Columns with Non‐Standard Cross‐Sectional Shape

“…In the publication by Kaveh and others [20], the concept of cascade optimization was described, which allows for solving the optimization problem using a series of advanced analytical solutions. Bysiec [21] described the efficient shaping of geodesic spherical domes, presenting two distinct methods for shaping these structures.…”