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Evaluation of structural robustness basedon internal energy distribution
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.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2011 (English)Manuscript (preprint) (Other academic)
Abstract [en]

Robustness evaluations give valuable information about the sensitivity of a structure to stochastic variation of design parameters, but are in general expensive to perform due to the extensive number of function evaluations required. Therefore, an Internal Energy Based (IEB) method is presented here, in which the structural sensitivity to variation of each thickness parameter is estimated based on the internal energy distribution obtained from one single function evaluation. In this way, the cost of such structural robustness evaluations is significantly reduced. However, the accuracy of the IEB method depends on the structural behaviour. Here it is tested for two structures with nonlinear displacement responses caused by impact loads. The method is however believed to be applicable to any structure exposed to a single load acting on a limited area of the structure, and for response functions related to the displacement of the loaded area.

Place, publisher, year, edition, pages
2011.
Keyword [en]
Robustness evaluations, Internal energy based gradients, Internal energy distribution, Internal energy based method, Structural robustness
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-70788OAI: oai:DiVA.org:liu-70788DiVA: diva2:441705
Available from: 2011-09-19 Created: 2011-09-19 Last updated: 2011-09-19Bibliographically approved
In thesis
1. Optimization and Robustness of Structural Product Families
Open this publication in new window or tab >>Optimization and Robustness of Structural Product Families
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns structural optimization and robustness evaluations, and new methods are presented that considerably reduce the computational cost of these evaluations.

Optimization is an effective tool in the design process and the interest from industry of its usage is quickly increasing. However, the usage would probably have grown faster if the required number of computationally costly finite element analyses could be reduced. Especially in the case of product family optimization, the problem size can easily get too large to be solved within a reasonable time. This is sometimes also true for robustness evaluations. To enable the usage of optimization and robustness evaluations also for large scale industrial problems, two new methods are here presented, which require a considerably smaller number of finite element analyses.

The first method concerns structural optimization of product families subjected to multiple crash load cases. Here, the number of required finite element analyses are considerably reduced by only considering the critical constraint in each iteration step.

The second method is an approach to approximate the variable sensibility based on the distribution of internal energy in a structure. The method can be used to evaluate the relative robustness of different design proposals or for structural optimization. Since the method is independent of the number of parameters and design variables the computational cost of such evaluations is drastically reduced for computationally large problems.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2011. 50 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1397
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-70372 (URN)978-91-7393-072-7 (ISBN)
Public defence
2011-10-18, Planck, Fysikhuset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Opponent
Supervisors
Available from: 2011-09-05 Created: 2011-09-05 Last updated: 2011-09-19Bibliographically approved

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Öman, MichaelNilsson, Larsgunnar

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CiteExportLink to record
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Citation style
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