Thursday, 13:45 - 14:10 h, Room: MA 004

 

Kai Habermehl
Robust design of active trusses via mixed integer nonlinear semidefinite programming

Coauthor: Stefan Ulbrich

 

Abstract:
This work is an extension of Ben-Tal and Nemirovski’s approach on robust truss topology design to active trusses. Active trusses may use active components (e.g., piezo-actuators) to react on uncertain loads. The aim is to find a load-carrying structure with minimal worst-case compliance, when actuators may be used to react on uncertain loadings. This problem leads to a min-max-min formulation.
The approach is based on a semidefinite program formulation, which is a well-known optimization approach for robust truss topology design. By introducing actors into the model, it becomes a nonlinear semidefinite program with binary variables. We use a sequential semidefinite programming approach within a branch-and-bound-framework to solve these problems.
Different uncertainty sets are analyzed for the robust optimization approach - mainly polyhedral and ellipsoidal uncertainty sets. These different approaches have their specific advantages and disadvantages. A combined approach seems to be the best way to deal with active elements in robust truss topology design.
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Several solution methods (e.g., Cascading techniques, projection approaches) and numerical results will be presented.

 

Talk 2 of the invited session Thu.2.MA 004
"Multistage robustness" [...]
Cluster 20
"Robust optimization" [...]

 

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