A global damping factor for a non-invasive form finding algorithm

Landkammer P, Steinmann P (2015)

Publication Language: English

Publication Type: Conference contribution

Publication year: 2015

Publisher: wiley

City/Town: Weinheim

Pages Range: 327-328

Conference Proceedings Title: Proc. Appl. Math. Mech.

Event location: Lecce, Italy IT

DOI: 10.1002/pamm.201510154


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.

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Landkammer, P., & Steinmann, P. (2015). A global damping factor for a non-invasive form finding algorithm. In GAMM (Eds.), Proc. Appl. Math. Mech. (pp. 327-328). Lecce, Italy, IT: Weinheim: wiley.


Landkammer, Philipp, and Paul Steinmann. "A global damping factor for a non-invasive form finding algorithm." Proceedings of the 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Lecce, Italy Ed. GAMM, Weinheim: wiley, 2015. 327-328.

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