Non-linear normal modes in dynamics - discrete systems

0443948 - ÚTAM 2016 RIV CZ eng A - Abstrakt
Náprstek, Jiří - Fischer, Cyril
Non-linear normal modes in dynamics - discrete systems.
Engineering mechanics 2015. 21st International conference, May 11-14, 2015, Svratka, Czech Republic. Extended abstracts. Prague: Institute of theoretical and applied mechanics, Academy of Sciences of the Czech Republic, v. v. i., 2015 - (Náprstek, J.; Fischer, C.). s. 208-209. ISBN 978-80-86246-42-0. ISSN 1805-8248.
[Engineering mechanics 2015 /21./. 11.05.2015-14.05.2015, Svratka]
Grant CEP: GA ČR(CZ) GA15-01035S
Institucionální podpora: RVO:68378297
Klíčová slova: nonlinear dynamic systems * non-linear normal modes * discretization * multi-scale method
Kód oboru RIV: JM - Inženýrské stavitelství

The aim of the paper is to inform about main features of Non-linear Normal Modes (NNM) as a powerful tool for investigation of multi-degree of freedom (MDOF) dynamic systems. In particular, it is shown how this concept can be used to investigate forced resonances of non-linear symmetric systems including non-linear localization of vibrational energy. NNMs can provide a valuable tool for understanding essentially non-linear dynamic phenomena having no counterparts in linear theory and which do not enable analysis using linearized procedures. Discrete MDOF systems are considered in this study. A couple of possible approaches are outlined together with some demonstrations of numerical results.
Trvalý link: http://hdl.handle.net/11104/0246831