Form-Finding of Tensioned Fabric Structure in the Shape of Möbius Strip

Form-finding of tensioned fabric surface bordered by Möbius strip is investigated. Möbius strip is a surface with only one side and only one boundary component. Möbius strip has the mathematical property of being non-orientable. The form of Möbius strip has been adopted in the creation of sculpture, exploration of idea for bridges and buildings. In this study, the possibility of adopting the form of Möbius strip as surface shape for tensioned fabric structure has been studied. The combination of shape and internal forces for the purpose of stiffness and strength is an important feature of tensioned fabric surface. For this purpose, form-finding needs to be carried out. In this study, nonlinear analysis method is used for form finding analysis. The influence of non-orientable characteristic of Möbius strip on the modeling process using finite element procedures was investigated. Pattern of pre-stress in the resulting tensioned fabric surface is also studied. Form-finding has been found to converge for Möbius strip R/W 1.37 with initial assumed shape specified to follow the topology without opening which has been observed in experiment.