Fuzzy modal finite element analysis of structures with imprecise material properties

This paper extends the fuzzy set theory to-a dynamic finite element analysis of engineering systems which have uncertainties in material properties. A general algorithm which resolves the uncertain eigenvalue problem by using a reanalysis approach is considered. This algorithm is applied to the study of the modal behaviour of structures presenting uncertain material properties. Some indexes which determine the more sensitive eigenvalue to several uncertainty sources are also put forward. Finally, a plate structure as numerical path-rest is analysed. The results of such a calculation determine the sensitivity of the modal behaviour to multiple simultaneous material parameters. (C) 1999 Academic Press.