Modeling the non-linear dynamic behavior of a technical rubber
Résumé
We have been interested in the damping of composite structures, such as 3D-woven carbon fibre turbojet blades, using elastomeric patches. These patches are designed in such a way that the rubber is subjected to shear vibrating loads supperimposed to a large static preload. We are therefore particularly interrested in describing the effect of the static preload and of the frequency and the amplitude of the vibrating loads all of which exhibit specific nonlinearities. Among these phenomena, we focus on the developpement of a model that can take into account of the Payne effect.
Our approach is based on the development of a finite-strain nonlinear viscoelastic model that is appropriately linearized with respect to a large static preload. We show that this linearization is particularly effective for the fitting procedure of the model parameters from DMA experiments. We also show that the material non-linearities can strongly affect the harmonic response of a composite structure that includes elastomeric patches.