Fuzzy arithmetical modeling and simulation of vibrating structures with uncertain parameters
Hanss M, Willner K (2004)
Publication Type: Conference contribution
Publication year: 2004
Edited Volumes: Proceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA
Pages Range: CD ROM
Conference Proceedings Title: Noise and Vibration Engineering
Event location: Leuven, Belgium
Abstract
A general method for the simulation and analysis of systems with uncertain parameters is presented. In this concept, the uncertain parameters are modeled by fuzzy numbers in contrast to random numbers in stochastic approaches. After an introduction to fuzzy arithmetic, the transformation method is presented a practical implementation which allows the use of the fuzzy concept in conjunction with existing simulation environments. As a result of the simulation of the model, it is possible to quantify the overall uncertainty of the outputs, providing a worst-case scenario. Additionally, the uncertain model parameters can be rated with respect to their influence on the overall output uncertainty. As examples, some finite element applications of the fuzzy arithmetical approach are presented and discussed: the frequency response function of a vibrating plate and the vibration behavior of an engine hood in the presence of uncertain model parameters.
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Germany (DE)How to cite
APA:
Hanss, M., & Willner, K. (2004). Fuzzy arithmetical modeling and simulation of vibrating structures with uncertain parameters. In Noise and Vibration Engineering (pp. CD ROM). Leuven, Belgium, BE.
MLA:
Hanss, M., and Kai Willner. "Fuzzy arithmetical modeling and simulation of vibrating structures with uncertain parameters." Proceedings of the ISMA 2004, Leuven, Belgium 2004. CD ROM.
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