Beyond Static Analysis: Investigation of Membrane Structure Performance Using Time Stepping, Transient and Progressive Analyses

Monolithic and partitioned approaches to determine static deformation of membrane structures due to ponding

“…Using the stress-strain relation given in Eqs. (15) and (16) and the strain definition discussed before, we can express the internal virtual work in terms of only the displacement field as unknown. The resultant expression will be non-linear for large displacements, regardless of the use of linear or non-linear material law, as C and E are non-linear functions of the displacement field.…”

“…Therefore, in this paper we also a present partitioned methods to perform ponding analysis. One example of this approach is presented in the work of Bown et al [15], where an in-house structural code inTENS is coupled with a shallow water solver in a partitioned method to analyze ponding on tensioned membrane structures. The partitioned methods for ponding analysis presented in this paper use a volume-conserving solver instead of a transient shallow water solver as used by Bown et al The volume-conserving solver models the quasi-static behavior of fluid by updating the free surface, which is a plane perpendicular to gravity, to conserve a given volume of the ponding fluid.…”

Comparison of Monolithic and Partitioned Approaches for Ponding Analysis On Membrane Structures

“…In some cases, where the solver is a commercial software, this is not possible and therefore the ponding analysis can be only performed using the partitioned approach. One example of this approach is presented in the work of Bown et al [6], where an in-house structural code inTENS is coupled with a shallow water solver in a partitioned method to analyze ponding on tensioned membrane structures. The partitioned approach discussed in this paper involves external coupling iterations between a structural solver and the volume-conserving solver.…”