2021
DOI: 10.1016/j.compstruc.2020.106419
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Monolithic and partitioned approaches to determine static deformation of membrane structures due to ponding

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Cited by 6 publications
(3 citation statements)
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References 28 publications
(58 reference statements)
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“…As the membranes are rather soft showing large deformations the nonlinear solution with the direct scheme as proposed in section 4.2, see equations (37) and following leads often to considerable convergence problems. In Reference 62 the authors propose and prove new robust algorithms with a particular focus on the volume constraint on various 3D ponding problems showing good efficiency and better convergence.…”
Section: Realistic Modeling Of Gas‐fluid‐structure Interaction and Li...mentioning
confidence: 99%
“…As the membranes are rather soft showing large deformations the nonlinear solution with the direct scheme as proposed in section 4.2, see equations (37) and following leads often to considerable convergence problems. In Reference 62 the authors propose and prove new robust algorithms with a particular focus on the volume constraint on various 3D ponding problems showing good efficiency and better convergence.…”
Section: Realistic Modeling Of Gas‐fluid‐structure Interaction and Li...mentioning
confidence: 99%
“…Snow loads and the accumulation of water, called ponding, also have to be modeled carefully for the analysis of membrane structures. Both load cases highly depend on the membrane's surface inclination and deformation, again highlighting the necessity of performing geometrically non-linear analyses, see [25,12]. Lastly, the interaction with the supporting structure should be mentioned, as the flexibility of connections and their interaction with the membrane and cables can also have an effect on the load bearing behavior of the overall system [14].…”
Section: Ann-kathrin Goldbach and Kai-uwe Bletzingermentioning
confidence: 99%
“…This is clearly a fluid-structure interaction phenomenon (FSI) involving coupling of a membrane structure, ponding water and the wind. In our previous work [2], we developed partitioned and monolithic algorithms to calculate the static deformation of a membrane structure due to a given volume of ponding water, which will serve as an initial condition for the time varying FSI simulation.…”
mentioning
confidence: 99%