Dynamical behavior of a Bouc-Wen type oscillator coupled to a nonlinear energy sink
Résumé
We try to enlighten the time multi-scale energy exchange between a main oscillator of Bouc-Wen type and a nonlinear energy sink. A general methodology is presented to detect the invariant manifold of the system at fast time scale and then to search equilibrium points and fold singularities at the slow time scale. A numerical example is enclosed to show the application of the coupled nonlinear energy sink in passive control of Bouc-Wen type main structures.