Multi-Level, Partitioned Response Surfaces for Modeling Complex Systems
Koch, Patrick N.
Mavris, Dimitri N.
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The most prevalent type of approximating functions employed for efficient engineering analysis and design integration are polynomial response surfaces. However, the construction of response surface approximations has been limited to problems with only a few variables, due to the number of analyses necessary to fit sufficiently accurate models. In this paper, an approach is presented for partitioning response surfaces and constructing multi-level approximations for problems with larger numbers of variables. Using this approach, the (computer) experimentation necessary for fitting response surface models is reduced tremendously. A modified composite experimental design is also presented for the construction of response models that are more consistently accurate across the range of the design variables. The multi-level, partitioned response surface modeling and modified composite design approaches are demonstrated for the preliminary design of a commercial turbofan engine, an example problem defined in collaboration with Allison Engine Company, Rolls-Royce Aerospace Group.