Nonlinear vibrations and FSI of shells in traditional, hyperelastic and advanced materials: Modelling and experiments

At Cnam, Paris, June 3rd 2016, 2 p.m.

Marco Amabili
Professor, Canada Research Chair, Department of Mechanical Engineering, McGill University, Montréal, Canada

The seminar will cover nonlinear vibrations of shell with fluid-structure interaction made of traditional, advanced materials, and soft tissues. Biological soft tissues are usually subjected to significant static and dynamic loading, potentially yielding large deflections and deformations that requires the introduction of hyperelastic models. Static deflection as well as free and forced nonlinear vibrations of shells made of hyperelastic soft biological materials will be discussed. The material nonlinearities are described through Neo-Hookean, Mooney-Rivlin, Ogden and Fung hyperelastic laws. Dynamic local models are first built in the vicinity of a static configuration of interest that has been previously calculated.

A pulsatile flow inside the shell will be introduced taking into account the wave speed propagation and both velocity and pressure pulsations. This model is introduced in order to simulate the human aorta and the aorta replacements. Finally, a comparison of numerical simulations and experiments for large amplitude (geometrically nonlinear) vibrations of sandwich plates and other shell structures will be presented and the very large increase of damping with the vibration amplitude will be discussed. This is a little known phenomenon of fundamental importance in applications.

Laboratoire de Mécanique des Structures et des Systèmes Couplés - LMSSC