A global damping factor for a non-invasive form finding algorithm |
| |
Authors: | Philipp Landkammer Paul Steinmann |
| |
Institution: | Chair of Applied Mechanics, Friedrich-Alexander-University Erlangen-Nuremberg, Egerlandstr. 5, 91058 Erlangen |
| |
Abstract: | Inverse form finding based on the finite element method (FEM) aims in determining the optimal material (undeformed) configuration when knowing the target spatial (deformed) configuration in a discretized setting. The strategy is to iteratively update the material coordinates and recompute the spatial configuration by a FEM simulation until the computed spatial nodal positions are close enough to a priori given spatial nodal positions. A form finding algorithm is utilized, which is purely based on geometrical considerations and can be coupled with arbitrary external FEM software via subroutines in a non-invasive fashion. At large deformations degenerated elements can occur when updating the material coordinates. Evaluating the mesh quality of the updated material configuration and adjusting a global damping factor before recomputing the next spatial configuration helps to avoid mesh distortions. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
Keywords: | |
|
|