Robust Design of Energy-Absorbing Crumple-Zone Structures Considering Uncertainties
- Development of a new, fuzzy arithmetical design strategy for an optimized energy-absorbing automotive crumple-zone structure with robustness against both aleatoric and epistemic uncertainty
- The crumple-zone structure to be optimized with respect to the absorbed kinetic energy shall be represented by a model with uncertain, fuzzy-valued parameters which is capable of representing the
- aleatory uncertainty due to unpredictable crash conditions and the
- epistemic uncertainty due to simplification, idealization and reduction of the full-scale car model
- Due to the numerous simplification techniques for the full-scale car model, different fuzzy-parameterized models for the crumple zone can be derived
- The fuzzy-valued parameters need to be identified on the basis of crash simulation data using inverse fuzzy arithmetical strategies
- Model quality assessment and selection of the “best simplified, fuzzy-parameterized model” will be important
- Optimization in the presence of fuzzy-valued uncertainty needs to be performed (constraints may be met or violated in a fuzzy manner, …)
Publications
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Mäck, M.; Caylak, I.; Edler, P.; Freitag, S. Hanss, M.; Mahnken, R.; Meschke, G.; Penner, E.:
Optimization with constraints considering polymorphic uncertainties.
Surveys for Applied Mathematics and Mechanics (GAMM-Mitteilungen), 2019, Link
- Mäck, M.; Hanss, M.: A Multi-fidelity Approach for Possibilistic Uncertainty Analysis.
Proceedings of the 7th International Conference on Uncertainties in Structural Dynamics USD2018, KU Leuven, Belgien, September 2018 - Hose, D; Mäck, M.; Hanss, M.: A Possibilistic Approach to the Optimization of Uncertain Systems.
Proceedings of the 3rd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2018, and the 7th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2018. Florianopolis, SC Brazil, April 8-11 2018 - Hanss, M.; Mäck, M.: Certainly uncertain - the charm of fuzzy predictions.
Procedia Engineering 199: 48 - 55, 2017
DOI: https://doi.org/10.1016/j.proeng.2017.09.149 - Mäck, M.; Hose, D; Hanss, M.: On Using Fuzzy Arithmetic in Optimization Problems with Uncertain Constraints.
Proceedings in Applied Mathematics and Mechanics, 31 May 2017
DOI: https://doi.org/10.1002/pamm.201710017 - Mäck, M.; Hanss, M.: An Approach to Robust Design of a Crumple-Zone Structure Using Fuzzy Arithmetic.
Proceedings of the UNCECOMP 2017, Rhodos, Griechenland, 2017
DOI: https://doi.org/10.7712/120217.5369.16837 - Walz, N.P.; Burkhard, M.; Hanss, M.; Eberhard, P.: Sensitivity Computation for Uncertain Dynamical Systems Using High-Dimensional Model Representation and Hierarchical Grids. Procedia IUTAM, Vol. 13, No. 1, pp. 127–137, 2015
- Haag, T.; González, S.C.; Hanss, M.: Model Validation and Selection Based on Inverse Fuzzy Arithmetic. Mechanical Systems and Signal Processing, Vol. 32 pp. 116–134, 2012
- Hanss, M.: Applied Fuzzy Arithmetic – An Introduction with Engineering Applications. 2nd ed., Springer, 2010 (1st ed. 2005)