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A multipoint version of space mapping optimization applied to vehicle crashworthiness design
Linköping University, Department of Mechanical Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Mechanical Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2006 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 31, no 2, 134-146 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, space mapping (SM) technique is combined with response surface methodology (RSM). SM is an optimization method well suited for very costly problems to find an improved design with fulfilled constraints. The SM technique use less costly models, which complements the correct models. The theory is established and compared to the corrected RSM. A multipoint version of SM is presented, where a separate evaluation is done in each iteration to improve the mapping function. Using this additional evaluation to update the mapping function, generally, the number of iterations to find the optimum solution can be reduced. Thus, the elapsed time to solve the optimization problem can be reduced if a parallel computer is utilized. Finally, one engineering optimization problem is solved to illustrate the application of SM in vehicle crashworthiness structural optimization.

Place, publisher, year, edition, pages
2006. Vol. 31, no 2, 134-146 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-33878DOI: 10.1007/s00158-005-0544-yLocal ID: 19954OAI: oai:DiVA.org:liu-33878DiVA: diva2:254701
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2017-12-13
In thesis
1. On vehicle crashworthiness design using structural optimization
Open this publication in new window or tab >>On vehicle crashworthiness design using structural optimization
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This dissertation addresses the problems and possibilities of using structural optimization in vehicle crashworthiness design. The first part of the thesis gives an introduction to vehicle crashworthiness design. The optimization methods presented are also used to exemplify how structural optimization and robustness analysis can be used in vehicle crashworthiness design.

In the second part of the thesis, five papers are appended, where different optimization methods are evaluated and improved for the usage in vehicle crashworthiness design. These papers concern the optimization methods Response Surface Methodology (RSM), Stochastic Optimization (SO) and Space Mapping (SM).

Each method has its advantages and disadvantages. The Response Surface Methodology is the easiest method to use and the method that most often finds the best design of these three methods. Generally RSM is rather expensive, especially when many design variables are used. Then, SO is an effective alternative because in this method the number of evaluations is independent of the number of design variables, which is not the case for RSM. Space Mapping is the cheapest method, because it needs only one or two evaluations per iteration. However, SM is generally a method to fmd an improved design with fulfilled constraints and sometimes not the absolute optimum solution but to a low cost. Hence, both RSM and SO may produce better designs but at the price of more response evaluations.

Place, publisher, year, edition, pages
Linköping: Linköpings univeristet, 2004. 46 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 863
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-24070 (URN)3630 (Local ID)91-7373-898-0 (ISBN)3630 (Archive number)3630 (OAI)
Public defence
2004-03-12, Hörsal Planck, Fysikhuset, Linköpings Universitet, Linköping, 10:15 (Swedish)
Opponent
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-01-22

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Redhe, MarcusNilsson, Larsgunnar

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