Engineering Mechanics

International Conference

Proceedings Vol. 17 (2011)


ENGINEERING MECHANICS 2011

17th INTERNATIONAL CONFERENCE
May 9 – 12, 2011, Svratka, Czech Republic
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Editors: Vladimír Fuis

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-33-8 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

USAGE OF NONLINEAR NORMAL MODES IN DYNAMICS
Byrtus M.
pages 71 - 74, full text

The paper summarizes the method of nonlinear normal modes (NNMs) which has gained importance in nonlinear dynamics. Two main definitions of NNMs are discussed: Rosenberg's definition and Shaw and Pierre definition based on geometric arguments and inspired by the centre manifold technique. Fundamental properties of NNMs like frequency-energy dependence, modal interactions and mode bifurcations and stability are introduced. To compute the NNMs analytical and numerical approaches are used and compared. The NNMs approach to nonlinear dynamics is clearly demonstrated and compared with linear normal modes (LNMs) using a smooth nonlinear mechanical system.


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All papers were reviewed by members of the scientific committee.


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