Vibration damping in low-frequency range due to structural complexity. A Model based on the theory of fuzzy structures and model parameters estimation.

Christian Soize (1)

1 ONERA - The French Aerospace Lab [Châtillon]

We present a modeling of the structural dissipation due to internal structural complexity, adapted to the low-frequency range for which the frequency response function of the master structure can be constructed by the modal synthesis. This vibration damping model is deduced from the theory of fuzzy structures which was previously developed by the author. Presently, this model uses only the mean part of the probabilistic fuzzy law of the fuzzy substructure. We give an explicit model of the generalized damping matrix induced by the internal structural complexity. This generalized damping matrix depends on parameters related to the fuzzy substructure. Finally, model updating considerations are studied and an example is presented.

Mots clés: Fuzzy structure; vibration damping; structural complexity

Domaines: Mécanique [physics.med-ph]; Vibrations [physics.class-ph]; Probabilités [math.PR]

Christian Soize. Vibration damping in low-frequency range due to structural complexity. A Model based on the theory of fuzzy structures and model parameters estimation.. Computers & Structures, 1996, 58 (5), pp.901-915. ⟨10.1016/0045-7949(95)00207-W⟩. ⟨hal-00770275⟩