Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber
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The nonlinear dynamics of a resonantly excited linear oscillator coupled to an array of weakly coupled nonlinear pendulums is investigated under 1:1:…:1:2 internal resonance between the pendulums and the linear oscillator. In the first part of the work, periodic solutions and bifurcations under harmonic excitation of the linear oscillator are investigated. In the second part of the work, numerical simulations of the unperturbed Hamiltonian are presented to demonstrate the complex dynamics of the system even in the absence of external excitation.
Key wordsAutoparametric system vibration absorber internal resonances Hamiltonian
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