Engineering Mechanics

Proceedings Vol. 12 (2006)

ENGINEERING MECHANICS 2006

Copyright © 2006 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prague

 

P. Štemberk, J. Kruis, Z. Bittnar
pages 364 - +9p., full text

In this paper, an approach to dynamic analysis based on the fuzzy set theory is presented. The dynamic analysis uses the response spectra method where the material parameters are considered fuzzy, which results in mode shapes and natural frequencies with fuzzy distribution. The subsequent design requires knowledge of internal forces, which in this case, are also in the form of fuzzy numbers. The resulting fuzzy distribution of internal forces in the structural elements reflects the degree of uncertainty contained in the input material parameters. This approach is explained in an illustrative example.

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