Square-Base Double-Layer Tensegrity Structures: Geometric Relations for Modular Tensegrity Assemblies

Tensegrity, as a typology of designing structural forms, can be applied in the construction industry. As a structural system, it can produce a number of forms. Nonetheless, the particularly complex geometric forms that can be generated through the use of this typology constitute a significant hurdle to engineers, architects, and designers who need to produce two- or three-dimensional models. A sequential mathematical process was developed so that, in a systematic way, a user can apply this method as a step-by-step flowchart to design a structural form. This series of steps can ideally be applied in an algorithm or a computer program that can ultimately produce virtual three-dimensional models of these structures to enable the user to make decisions and adjust the geometric forms to the needs of a project. The objective of this study was, initially, to produce these mathematical relations and, ultimately, to formulate a series of variations in the methodology of design. Sequential processes will make it feasible to produce the specific forms of a spherical dome, cylindrical vault, or flat plate according to the project’s priorities. Variations of the sequence will be applicable according to the methodology of the design to be followed. The selected processes assist the initial generation and parametric modification of the numerical data that lead to unobtrusive regeneration of alternative solutions with the possibility of fine adjustments on each iteration. Validation of the process was performed through a series of tests on all three formations, and an example is briefly presented in this paper.