### ASA 127th Meeting M.I.T. 1994 June 6-10

## 2aSA3. A mathematical formulation for modeling the type I fuzzy parameters
for a continuous line fuzzy attachment.

**Daniel A. Russell
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**
Victor W. Sparrow
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*Graduate Program in Acoust., Penn State Univ., 157 Hammond Bldg.,
University Park, PA 16802
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*
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**Christian Soize
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*Office National d'Etudes et de Recherches Aerospatiale, Chatillon, France
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This talk will summarize the results of an exchange during the summer of
1993 between Penn State University and the Office National d'Etudes et de
Recherches Aerospatiale. The mutually agreed goal of this exchange was to
develop a mathematical method for modeling the parameters of a line fuzzy
attachment. A model fuzzy was developed for an attached plate in bending mode
only using the type I fuzzy law. (The three fuzzy parameters in the type I law
are mass, critical damping, and modal density.) The coupling between the
attached plate, modeled as a fuzzy, and the master structure is purely through
rotation about the attachment position. As a first approximation using the type
I fuzzy law, all of the random dispersion parameters were assumed to be zero,
and the focus of the method was to determine the mean values of the fuzzy
parameters. The fuzzy damping rate and modal density can be found directly from
the plate parameters. The fuzzy mass cannot be determined directly, and the
mathematical formulation centered on how one might find this mass. [Work
supported by ONR and ONERA.]