Abstract
A nonlinear elastic string is considered here as a main structure to be passively controlled using a Nonlinear Energy Sink (NES). The string is internally nonresonant due to a point mass and an elastic spring applied at a free tip, and a distributed force with harmonic time-law is assumed. The Multiple Scale/Harmonic Balance method, already introduced for finite degree of freedom systems, is extended here in direct approach, being applied to the partial differential equations ruling the dynamics of the system. Amplitude modulation equations are obtained and discussion of some solutions, where the beneficial effect of the NES is evident, are made.
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