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Evaluation of response surface methodologies used in crashworthiness optimization
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2006 (English)In: International Journal of Impact Engineering, ISSN 0734-743X, E-ISSN 1879-3509, Vol. 32, no 5, 759-777 p.Article in journal (Refereed) Published
Abstract [en]

Optimization of car structures is of great interest to the automotive industry. This work is concerned with structural optimization of a car body with the intent to increase the crashworthiness properties of the vehicle or decrease weight with the crashworthiness properties unaffected. In this work two different methodologies of constructing an intermediate approximation to the optimization problem are investigated, i.e. classical response surface methodology and Kriging. The major difference between the two methodologies is how the residuals between the true function value and the polynomial surface approximation value at a design point are treated.

Several different optimization problems have been investigated, both analytical problems as well as finite element impact problems.

The major conclusion is that even if the same kind of updating scheme is used both for Kriging and linear classic response surface methodology, Kriging improves the sequential behaviour of the optimization algorithm in the beginning of the optimization process. Problems may occur if a constraint is violated after several iterations and then classic response surface methodology seems to more easily be able to find a design point which satisfies the constraint.

Place, publisher, year, edition, pages
2006. Vol. 32, no 5, 759-777 p.
Keyword [en]
RSM, kriging, I-S-DYNA, crashworthiness optimization
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46051DOI: 10.1016/j.ijimpeng.2005.01.007OAI: oai:DiVA.org:liu-46051DiVA: diva2:266947
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13
In thesis
1. Structural optimization in vehicle crashworthiness design
Open this publication in new window or tab >>Structural optimization in vehicle crashworthiness design
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns the optimization of structures subjected to impact loading. Major applications can be found in the crashworthiness design of vehicles. There is an industrial interest in using optimization methods in the crashworthiness design process. However, strongly nonlinear responses, including high frequency components, make the Finite Element (FE) simulations computationally demanding. This fact restricts the number of possible optimization methods that can be applied.

In this work two optimization methods have been investigated: Response Surface Methodology (RSM) and Kriging. In both these methods the number of functional evaluations, i.e. here FE simulations, depends at least linearly on the number of design parameters. Thus, the number of design parameters is limited due to the computational effort. One objective of this work has been to reduce the total computational cost of the optimization process, or alternatively the possibility to use more design parameters at the same computational cost. When using RSM and Kriging, the number of functional evaluations in each iteration can be reduced, and/or the convergence of the optimization process can be improved. In many applications, RSM has been used with linear approximating response surfaces for robustness and efficiency reasons. Linear RSM may suffer from iterative oscillations, since the optimal design is often found on the boundary of the feasible design region. This oscillatory behaviour can be reduced if Kriging is used for the approximating response surfaces. However, it has been found that Kriging may have problems in fulfilling the constraints. In the initial design process of a structure very many alternative designs exist. At these early stages topology optimization is a mean of finding a structure that is optimal for the objective at hand. In this work a topology optimization approach is proposed for the design of crashworthiness structures. The resulting structure must still be subjected to an interpretation by engineers and also be improved by further optimization.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2005. 26 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 940
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-31403 (URN)17174 (Local ID)91-85297-78-X (ISBN)17174 (Archive number)17174 (OAI)
Public defence
2005-05-20, C3, C-huset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Opponent
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2012-12-07Bibliographically approved

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Forsberg, JimmyNilsson, Larsgunnar

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