Design of a nonlinear absorber for a 2 degrees of freedom pendulum and experimental validation

A nonlinear energy sink is designed to control the oscillations of a 2 degrees-of-freedom pendulum under following types excitations: horizontal and vertical base displacements initial energy. Coupled governing system equations are treated with multiple-scale methods different assumptions depending on applied loads. Fast slow dynamics revealed leading detection possible dynamical regimes. The choice design parameters discussed, tuning method proposed. efficiency validated by an experimental study: physical model excited shake table. response shows that able main system.