Abstract
The weakly non-linear 2-DOF mechanical system parametrically and externally excited is studied. It may serve as a model for a variety of engineering systems, including ship motions with nonlinear coupling between pitching and wave loadings. The transfer of energy from one to another mode of vibrations is illustrated and analyzed. Multiple scales method application allows reducing the original nonautonomous system to an approximate autonomous system regarding amplitude and phase variables in order to find steady state solutions and verify their stability.
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Starosta, R., Awrejcewicz, J. (2010). Asymptotic Analysis of Parametrically Excited Spring Pendulum. In: Visa, I. (eds) SYROM 2009. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3522-6_34
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DOI: https://doi.org/10.1007/978-90-481-3522-6_34
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Publisher Name: Springer, Dordrecht
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Online ISBN: 978-90-481-3522-6
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