Engineering Mechanics

Proceedings Vol. 11 (2005)

ENGINEERING MECHANICS 2005

Copyright © 2005 Institute of Mechanics of Solids, Faculty of Mechanical Engineering, Bruno University of Technology, Brno

 

Štemberk P., Kruis J., Bittnar Z.
pages 299 - +8p., full text

In this paper, an approach to dynamic analysis based on the fuzzy set theory is presented as a alternative to the classical stochastic dynamic analysis. The material parameters are considered as fuzzy quantities with a given distribution (fuzzy numbers). The dynamic analysis is then performed with help of the fuzzy arithmetic on α-cuts. The result is in the form of fuzzy numbers. In order to reduce computational time, the response surface function concept is employed. This approach is illustrated in an illustrative example of a 2D frame whose free vibration is analyzed.

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