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Nonlinear modes of vibration

Ekeland, Ivar (1998), Nonlinear modes of vibration, Nature, 395, p. 116-117. http://dx.doi.org/10.1038/25847

Type
Article accepté pour publication ou publié
Date
1998
Journal name
Nature
Number
395
Publisher
Nature Publishing Group
Pages
116-117
Publication identifier
Metadata
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Author(s)
Ekeland, Ivar
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 / Keywords
modes of vibration; linear systems; classical mechanics