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SUMMARY:MechE Colloquium: Exact Model Reduction and Forced Response in Hig
 h-Degree-of-Freedom Nonlinear Mechanical Systems
DTSTART:20191022T121500
DTEND:20191022T131500
DTSTAMP:20260413T212252Z
UID:7fb23da741abf30b5429cad42ad62e6e91e18e26d535f441974d00be
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. George Haller\, Chair in Nonlinear Dynamics\, Institute 
 for Mechanical Systems\, ETH Zürich\nAbstract:\nDespite major advances in
  computational power\, mapping out the forced response of large\, nonlinea
 r mechanical systems for different forcing frequencies has remained a majo
 r challenge. One reason is the small damping in most engineered systems\, 
 which leads to exceedingly slow-decaying transients in direct numerical in
 tegration. Another reason is that computing periodic response is not a nat
 urally parallelizable procedure\; involving more processors tends to incre
 ase the computation time. As a consequence\, forced response is typically 
 computed after ad hoc reduction procedures are applied to the original mec
 hanical system. In this talk\, we describe a recent tool from dynamical sy
 stems\, spectral submanifold theory\, which enables a mathematically exact
  reduction of nonlinear oscillatory systems to low-dimensional invariant m
 anifolds. With the help of this reduction\, previously unimaginable comput
 ational speeds can be achieved in computing nonlinear forced response. The
  approach also enables the detection of detached branches (isolas) of the 
 response curves that remain undetected by classical numerical continuation
 \, yet are critically important for structural health monitoring. We discu
 ss these results on various problems\, including analytic\, numerical\, an
 d experimental construction of spectral submanifolds and forced response c
 urves.\n \nBio:\nGeorge Haller received his Ph.D. in Applied Mechanics at
  the California Institute of Technology in 1993. He then spent a year as p
 ostdoc at the Courant Institute of Mathematical Sciences at New York Unive
 rsity\, prior to joining the Division of Applied Mathematics at Brown Univ
 ersity 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 Mor
 gan Stanley's Mathematical Modeling Center in Budapest\, which he headed f
 or three years. He then joined the Department of Mechanical Engineering at
  McGill University in 2009\, serving as Department Chair till 2011. Over t
 he period 2014-2018\, he headed the Institute for Mechanical Systems at ET
 H Zurich\, where he currently holds the Chair in Nonlinear Dynamics.\n \n
 Professor Haller has served on the editorial boards of the SIAM Journal fo
 r Mathematical Analysis\, the Journal of Discrete and Continuous Dynamical
  Systems and the Zeitschrift für Angewandte Mathematik und Physik (ZAMP).
  He is currently Senior Editor at the Journal of Nonlinear Science and Ass
 ociate Editor at the Journal of Applied Mechanics. His honors include a Ma
 nning Assistant Professorship at Brown University\, an Alfred P. Sloan Res
 earch Fellowship in mathematics\, an Albert Szent-Gyorgyi Fellowship\, an 
 ASME Thomas J.R. Hughes Young Investigator Award\, an Honorary Doctorate f
 rom the Budapest University of Technology and Economics and a Faculty of E
 ngineering Distinguished Professorship at McGill University. He is an elec
 ted external member of the Hungarian Academy of Sciences since 2019.
LOCATION:MED 0 1418 https://plan.epfl.ch/?room==MED%200%201418
STATUS:CONFIRMED
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