Velocity-Dependent Conservative nonlinear oscillators with exact harmonic solutions
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Abstract
Conservative oscillator equations which have quadratic non-linearities in both velocity and displacement and which possess an exact harmonic solution are investigated. The conserved quantity is constructed, and its zero value corresponds to the harmonic solution. The further significance of the harmonic solution as corresponding to a bifurcation is revealed.
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Journal of Sound and Vibration
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230
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© 2000 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
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History and Archaeology
Physical Sciences
Engineering