Nonlinear modes of vibration
Ekeland, Ivar (1998), Nonlinear modes of vibration, Nature, 395, p. 116-117. http://dx.doi.org/10.1038/25847
TypeArticle accepté pour publication ou publié
Nature Publishing Group
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Abstract (EN)One of the most fundamental results in classical mechanics is that linear systems with n degrees of freedom have n fundamental modes of vibration, and that any motion of the systems can be obtained as a linear combination of these fundamental modes. This combination principle does not hold for nonlinear systems, but one suspects that a few periodic solutions will play a part akin to the fundamental modes.
Subjects / Keywordsmodes of vibration; linear systems; classical mechanics
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Kübler, Felix; Chiappori, Pierre-André; Ekeland, Ivar; Polemarchakis, Heracles M. (2000) Document de travail / Working paper