EVENT DETAILS
NONLINEAR VIBRATIONS OF SHELLS: FROM CLASSICAL PROBLEMS TO SOFT BIOLOGICAL MATTER
Abstract
This seminar will focus on nonlinear vibrations of shells made of traditional, composite, and soft biological materials. Starting from classical nonlinear shell theories, nonlinear dynamic phenomena that can be observed in circular cylindrical shells will be highlighted: from softening behavior to amplitude modulations, internal resonance and chaos. Then, in order to deal with thick walls and large strains associated to soft materials, the classical shell theories are modified by including shear and thickness deformations, as well as rotary inertia. Comparison of numerical simulations and experiments for large amplitude (geometrically nonlinear) vibrations of plates and 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. The nonlinear damping will be derived in a very original way from viscoelasticity. The damping model obtained is geometrically nonlinear and the parameters are identified from experiments. Numerical results are compared to experimental forced vibration responses measured for large-amplitude vibrations of different structural elements.
Biological soft tissues are subjected to significant static and dynamic loading, yielding large strains that requires the introduction of hyperelastic and viscoelastic constitutive models. Results for human aortas will be shown and compared to experiments obtained on a mock circulatory loop.
Bio
Prof Amabili holds the Canada Research Chair in Vibrations and Fluid-Structure Interaction at McGill University in Montreal. He is the author of the monographs Nonlinear Vibrations and Stability of Shells and Plates and Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials, both published by Cambridge University Press. He is the author of over 460 papers, 210 of which are published in international journals, including Nature Communications, with over 10,000 citations. He is an elected Fellow of the Canadian Academy of Engineering and an elected member of the European Academy of Sciences and Arts. He was selected to deliver the 2019 Koiter lecture of the Dutch research school on Engineering Mechanics; the Koiter lecture honors researchers who have made profound contributions to the field of Engineering Mechanics, and it has a rich history. He is the Secretary of the Executive Committee of the Applied Mechanics Division of the American Society of Mechanical Engineers and the chair of the Canadian Committee for IUTAM. He received the Christophe Pierre Research Excellence Award by McGill University in 2015. Among other editorial appointments, he is the Contributing Editor of the International Journal of Non-linear Mechanics (Elsevier) and Associate Editor of Journal of Fluids and Structures (Elsevier).
TIME Wednesday April 8, 2020 at 11:00 AM - 12:00 PM
LOCATION A230, Technological Institute map it
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CONTACT Tierney Acott tierney-acott@northwestern.edu
CALENDAR McCormick - Civil and Environmental Engineering