Prof. George Haller
Professor, Institute for Mechanical Systems, ETH Zürich
Exact Nonlinear Model Reduction in Mechanical Systems
Monday, January 23, 2017, 11:00am to Noon | Room 5-314
We discuss two recent methods that enable a mathematically exact reduction of multi-degree-of-freedom, nonlinear mechanical systems to lower-dimensional models. The first method is based on a reduction to spectral submanifolds, which are invariant manifolds arising from modal subspaces of the linearized oscillations near an equilibrium. The second method is based on a reduction onto a global slow manifold that enslaves stiffer vibration modes to softer ones. We show applications to both mechanical model problems and to experimental vibration data for beam oscillations.
George Haller received his Ph.D. in Applied Mechanics at the California Institute of Technology in 1993. He then spent a year as postdoc at the Courant Institute of Mathematical Sciences at New York University, prior to joining the Division of Applied Mathematics at Brown University as Assistant Professor in 1994. In 2001, he left Brown University as Associate Professor to join the Department of Mechanical Engineering at the Massachusetts Institute of Technology, where he became Professor in 2005. While still a professor at MIT, he became the first director of Morgan Stanley's Mathematical Modeling Center in Budapest, which he headed for three years. He then joined the Department of Mechanical Engineering at McGill University in 2009, serving as Department Chair till 2011. He is currently Professor of Nonlinear Dynamics at ETH Zurich. Professor Haller has served on the editorial boards of the SIAM Journal for Mathematical Analysis, the Journal of Nonlinear Science, the Journal of Discrete and Continuous Dynamical Systems and the Zeitschrift für Angewandte Mathematik und Physik (ZAMP). His honors include a Manning Assistant Proessorship at Brown University, an Alfred P. Sloan Research Fellowship, an Albert Szent-Gyorgyi Fellowship, an ASME Thomas J.R. Hughes Young Investigator Award, an Honorary Doctorate from the Budapest University of Technology and Economics and a Faculty of Engineering Distinguished Professorship at McGill University.