Application of soft computing in uncertainty analysis carried out within structural dynamics

Authors

  • Adam Martowicz AGH University of Science and Technology
    Poland
  • Janina Pieczara AGH University of Science and Technology
    Poland
  • Tadeusz Uhl AGH University of Science and Technology
    Poland

Abstract

The paper deals with the application of soft computing used in uncertainty analysis in the field of structural dynamics. Employing Genetic Algorithms, fuzzy sets theory as well as interval algebra authors show quite useful extension of well known approaches of solving eigenproblems considering assumed model uncertainties. During performed calculation, ranges of the first natural frequency of a simple FE model are found and then compared to those ones obtained with Monte Carlo simulation. As input uncertain parameters some of material properties are taken into account. The main objective of the work is to highlight possible advantages of the application in terms of reducing computation time meant for uncertainty analyses.

References

[1] H. De Gersem, D. Moens, W. Desmet, D. Vandepitte. Interval and fuzzy finite element analysis of mechanical structures with uncertain parameters. Proc. of the International Conference on Noise and Vibration Engineering ISMA 2004, Leuven, Belgium, 2004, pp. 3009-302l.
[2] D. Degrauwe, G. Lombaert, G. De Roeck. A comparison of the fuzzy finite element method and a probabilistic approach. Proc. of the International Conference on Noise and Vibration Engineering ISMA 2004, Leuven, Belgium, 2004, pp. 3035-3042.
[3] D. Dubois, H. Prade. Fuzzy Sets and Systems. Theory and Applications. Academic Press, New York, 1980.
[4] M.I. Friswell, U. Prells, J.E.T. Penny. Determining uncertainty bounds for eigenvalues. Proc. of the International Conference on Noise and Vibration Engineering ISMA 2004, Leuven, Belgium, 2004, pp. 3055-3064.
[5] D.E. Goldberg. Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley Publishing Company, Reading, Massachusetts, USA, 1989.

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Published

2022-08-24

Issue

pp. 293-305

Section

Articles

How to Cite

Martowicz, A., Pieczara, J., & Uhl, T. (2022). Application of soft computing in uncertainty analysis carried out within structural dynamics. Computer Assisted Methods in Engineering and Science, 14(2), 293-305. https://cames3.ippt.pan.pl/index.php/cames/article/view/832