Form-finding optimization methods for free-form reticulated shells: Reverse realization and numerical simulation

Abstract

Free-form reticulated shells should not only satisfy the requirement of a specific geometric configuration but also have rational mechanical properties. This article introduced two form-finding methods of free-form configuration. The first method was a reverse realization method that is based on hanging fabric with a given boundary condition; the second method was a numerical simulation method that is based on the equilibrium characteristics of a natural tension membrane combined with a geometrical characteristics analysis and a mechanical properties optimization. The article then discusses the conducted beneficial comparison. The analytical results demonstrate that both these form-finding methods are feasible for obtaining rational free-form shells, and the numerical simulation method is more convenient for obtaining the surface family.

Algorithmic-Aided Approach for the Design and Evaluation of Curvilinear Steel Bar Structures of Unit Roofs

“…In the old pre-computer age, the optimal shapes of the structures have been found by experiments such as, for example, inverted hanging models or soap film methods. The structures achieved by these experiments were of minimal surface shapes [ 11 , 12 ]. They were characterized by high stiffness with a minimal amount of bending, which was guaranteed by their forms.…”