Abstract
Nonlinear normal modes of vibration have been the focus of many studies during the past years and different characterizations of them have been proposed. The present work focuses on damped systems, and considers nonlinear normal mode motions as trajectories lying on an invariant manifold, following the geometric approach of Shaw and Pierre. We provide a novel characterization of the invariant manifold, that rests on the spectral theory of the Koopman operator. A main advantage of the proposed approach is a global parametrization of the manifold, which avoids folding issues arising with the use of displacementvelocity coordinates.
Original language | English |
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Title of host publication | 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control |
Publisher | American Society of Mechanical Engineers (ASME) |
Volume | 6 |
ISBN (Electronic) | 9780791857168 |
DOIs | |
Publication status | Published - 2015 |
Externally published | Yes |
Event | ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015 - Boston, United States Duration: 2 Aug 2015 → 5 Aug 2015 |
Conference
Conference | ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015 |
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Country/Territory | United States |
City | Boston |
Period | 2/08/15 → 5/08/15 |