Estimation of the fuzzy substructure model parameters using the mean power flow equation of the fuzzy structure

Christian Soize (1)

1 ONERA - The French Aerospace Lab [Châtillon]

This paper presents a theoretical approach for identifying the dimensionless mean coefficient of participating fuzzy mass which is the main unknown parameter of the type I or II fuzzy law previously introduced by the author. This method is based on the use of the associated power flow equation, each power term being identified by using a global statistical energy analysis of the fuzzy structure (master structure with its fuzzy substructures). Identification is then carried out by solving a nonlinear constrained optimization problem. An example is given to illustrate the theoretical results.

Mots clés: Fuzzy structure

Domaines: Mécanique [physics.med-ph]; Vibrations [physics.class-ph]; Acoustique [physics.class-ph]

Christian Soize. Estimation of the fuzzy substructure model parameters using the mean power flow equation of the fuzzy structure. Journal of Vibration and Acoustics, 1998, 120 (1), pp.279-286. ⟨10.1115/1.2893818⟩. ⟨hal-00765810⟩