Abstract
This chapter deals with finite amplitude vibrations of coupled oscillators having two or more degrees of freedom. As a rule, the governing equations are not integrable and can be solved only by numerical integration. The numerical solutions have to be visualized by the Poincar’e map. For mechanical systems with weak coupling the variational-asymptotic method is applicable. This enables one to study, among others, the bifurcation of nonlinear normalmodes, KAM-theory for coupled conservative oscillators, and synchronization of the coupled self-excited oscillators.
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© 2014 Springer International Publishing Switzerland
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Le, K.C., Nguyen, L.T.K. (2014). Coupled Oscillators. In: Energy Methods in Dynamics. Interaction of Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-05419-3_7
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DOI: https://doi.org/10.1007/978-3-319-05419-3_7
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05418-6
Online ISBN: 978-3-319-05419-3
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