Qualitative analysis of the response regimes and triggering mechanism of bistable NES

Zhenhang Wu (1) , Sébastien Seguy (1) , Manuel Paredes (1)

1 ICA - Institut Clément Ader

The main focus of this study is the development of an adapted complex variable method in the vicinity of equilibrium in bistable Nonlinear Energy Sink(NES). A simplified chaos trigger model is established to describe the distance between the stable phase cycle and the pseudo-separatrix. An analytical expression can predict the excitation threshold for chaos occurrence. The relative positions between the chaos trigger threshold line and the Slow Invariant Manifold (SIM) structure can express the distribution of response regimes under growing harmonic excitation. The degeneration of the response regimes can be interpreted by the qualitative analysis method, which helps to classify the bistable NES. The experiment confirms the analytical result of intra-well oscillation in the frequency domain. The characteristic response regimes of weak, modest and strong bistable NES are identified by the experimental results.

Mots clés: Qualitative analysis; Bistable nonlinear energy sink; Slow invariant manifold; Targeted energy transfer; Trigger mechanism

Domaines: Vibrations [physics.class-ph]

Zhenhang Wu, Sébastien Seguy, Manuel Paredes. Qualitative analysis of the response regimes and triggering mechanism of bistable NES. Nonlinear Dynamics, 2022, 109 (2), pp.323-352. ⟨10.1007/s11071-022-07609-x⟩. ⟨hal-03791916⟩