Using Space Mapping and Surrogate Models to Optimize Vehicle Crashworthiness Design
Marcus Redhe, Larsgunnar Nilsson · 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization · 2002
The aim of this work is to illustrate how Space Mapping technique using surrogate models together with response surfaces can be used for structural optimization of crashworthiness problems. To determine the response surfaces, several functional evaluations must be performed and each evaluation can be computationally demanding. Space Mapping technique uses surrogate models, i.e. less costly models, to determine these surfaces and their associated gradients. The full model is used to correct the gradients from the surrogate model for the next iteration. Thus, Space Mapping technique makes it possible to reduce the total computing time needed to find the optimal solution. First, one simple structural optimization problem is presented to exemplify the idea of Space Mapping and to compare the efficiency of Space Mapping to traditional response surface optimization. Secondly, a sub-model of a complete vehicle FE model is used to study different objective functions in vehicle crashworthiness optimization. Finally, the Space Mapping technique is applied to a structural optimization problem of a complete FE vehicle model, consisting of 350.000 shell elements and a computing time of 100 h. In this problem the intrustion in the passenger compartment area was reduced by 16% without compromising other crashworthiness parameters.