Self-Tensioning Spherical Structures: Single and Double Layer Spheroids

Abstract

A self-tensioning framework is made up of bars and ties, where the compression bars are isolated from each other, and the tension ties form a continuous polyhedric network. Every regular and semiregular polyhedron can be realised in such a manner, thus giving as many regular single layer spheric structures. Some basic self-tensioning simplexes can be connected together to form double layer frameworks. Thus using the composite polyhedra as building patterns larger spherical structures can be realised. In all these configurations, compression members are “floating” in a continuous tensional network, all components being rigidly spread out and at the same time united together under the effect of prestress, without the necessity of anchorage or other forces external to the system – the same as in a self-supporting structure – hence our term: self-tensioning.