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Shape optimisation for crashworthiness followed by a robustness analysis with respect to shape variables

Example of a front rail

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Abstract

This paper presents the results of a study on shape optimisation for crashworthiness design of passenger cars based on the software SFE CONCEPT. In contrast to classical morphing approaches, SFE CONCEPT allows for larger geometrical modifications via an implicit parameterisation technique. This is advantageous in particular in the early design phases where different design alternatives are investigated and the optimal and robust geometry needs to be identified. As a first example, the front rail of a standard passenger car is optimised here. This is – as one of the main parts of the body in white – an appropriate example for exploration of optimisation methods. The performance of a classical optimisation approach is analysed and complemented by a robustness analysis where uncertainties in shape parameters are considered.

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Notes

  1. Simulation ran with finite element code LS-DYNA Livermore Software Technology Company (2009)

    Initial speed of the impactor : \(V_{0}=10\;{\rm m.s}^{-1}\)

    Mass of the impactor : \(M_{0}= 500\) kg Beam material type : aluminium, modelled with a piecewise linear plasticity law

    Simulated impact duration : 20 ms

    Computation time : ca. 3 min. on 4 CPUs Intel Xeon E5520

    Length of the beam : 400 mm

  2. More details on how the software actually uses the method and which parameters allow to tune the optimisation can be found in the documentation Dynardo (2009)

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Acknowledgments

The authors would like to thank Johannes Will from Dynardo GmbH who allowed us to use the software optiSLang which was key to the achievement of this work and L. Lacassin from Arcelor-Mittal who provided some advice on how to define the tolerances of metal sheet thicknesses we used to perform our robustness analysis.

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Correspondence to Stephan Hunkeler.

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Hunkeler, S., Duddeck, F., Rayamajhi, M. et al. Shape optimisation for crashworthiness followed by a robustness analysis with respect to shape variables. Struct Multidisc Optim 48, 367–378 (2013). https://doi.org/10.1007/s00158-013-0903-z

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  • DOI: https://doi.org/10.1007/s00158-013-0903-z

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