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

Victor W. Sparrow

Graduate Program in Acoust., Penn State Univ., 157 Hammond Bldg., University Park, PA 16802

Christian Soize

Office National d'Etudes et de Recherches Aerospatiale, Chatillon, France

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.]