doi:10.3850/978-981-08-5118-7_027


Robust Design with Uncertain Data and Response Surface Approximation


Wolfgang Grafa, Jan-Uwe Sickert, Stephan Pannier and Michael Kaliske

Institute for Structural Analysis, Technische Universität Dresden, Germany.

awolfgang.graf@tu-dresden.de

ABSTRACT

The aim of the presented approach is to combine two views on robustness within a comprehensive design approach. These two main views are on the one hand the resistance to extraordinary (unforeseen) events, and on the other hand the consideration of uncertainty in structural parameters in order to monitor and reduce the variation of structural responses. To capture this, an enhanced robustness measure is defined and applied as design objective within the design approach which is based on the solution of an optimization problem. In addition to sophisticated numerical procedures to map physical phenomena and processes, the adequate description of available data covering the content of provided information is of prime importance. Thus, the generalized uncertainty model fuzzy randomness is applied. Furthermore, the robustness measure as well as the optimization approach are enhanced to fuzzy random based solutions.

Keywords: Robustness, Imprecise probabilities, Fuzzy random optimization, Structural analysis, Response surface approximation.



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