Wednesday, 15:15 - 15:40 h, Room: H 0112

 

Thea Göllner
Geometry optimization of branched sheet metal products

Coauthors: Wolfgang Hess, Stefan Ulbrich

 

Abstract:
We consider the geometry optimization of branched, and potentially curved, sheet metal products. Such products can be produced continuously and in integral style by using the new technologies linear flow splitting and linear bend splitting, which are explored within the framework of the Collaborative Research Centre (CRC) 666.
The geometry of such sheet metal parts can be parameterized by means of free form surfaces, more specifically, by tensor products of cubic B-splines. The mechanical behaviour is described by the three dimensional linear elasticity equations.
We formulate the associated PDE-constrained problem for optimizing the stiffness of the considered structure.
Then, an algorithm for solving this shape optimization problem with a globalization strategy based on cubic regularization terms is presented. Furthermore, the exact constraints of the problem are used.
We conclude by presenting numerical results.

 

Talk 1 of the contributed session Wed.3.H 0112
"Applications of optimization II" [...]
Cluster 16
"Nonlinear programming" [...]

 

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