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In this paper governing equations of general multi degrees of freedom (dof) systems with trees of parallel Nonlinear Energy Sink (NES) devices at each dof are derived. Then these equations are summarized for a 4 dof structure with two parallel NES at the 4th dof in order to control the first mode of the system. A prototype four storey structure with two parallel NES at the top floor is studied experimentally...
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