Journal
NONLINEAR DYNAMICS
Volume 70, Issue 3, Pages 2049-2061Publisher
SPRINGER
DOI: 10.1007/s11071-012-0597-6
Keywords
Multiple scale method; Harmonic balance; Nonlinear energy sink; Strongly modulated response
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A general, nonlinear, multi-d.o.f. structure, excited by harmonic external force in 1:1 resonance with one of the modes of the system, is considered. The structure is attached to an essentially nonlinear oscillator, with small mass and damping (Nonlinear Energy Sink, NES). The scope of the NES is to passively control the amplitude of vibrations of the main structure. A mixed Multiple Scale/Harmonic Balance Method (MSHBM) is proposed to get the differential equations describing the slow- and fast-flow dynamics of the whole structure. The main advantage of the procedure is that no complexification-averaging is required, so that the analysis is reconducted in the framework of the classical perturbation techniques.
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