Summary
Targeted energy transfer (TET) is one of the passive approaches for the attenuation of vibration by means of irreversible energy transfer from the primary linear oscillator (LO) to the auxiliary system. Recent studies on TET through vibro-impact (VI) based NES have shown improved performance over a broad spectrum. In VINES, where a ball oscillates inside the LO, energy transfers through the impacts and mitigates the vibration of the LO. Previous studies of VINES consider limited parameter ranges with the smaller mass ratio and external excitation predominantly near the resonant frequency. In this study, we are considering fully non-smooth system, applying novel analytical and numerical analyses of externally excited VINES over a broad range of parameters for different periodic dynamics. Additionally, the external excitation can have random fluctuations, called noise, which have the potential to affect the energy transfer mechanism. The previous studies are restricted to the stochastic analysis for conventional TET mechanisms. Preliminary results for VINES reveal scenarios where certain types of noise improve the performance of the system. This study investigates the stochastic bifurcation structure of the TET phenomenon combining the non-smooth analysis with a probabilistic framework. The results are directly related to several performance measures of VI-NES within the noisy environment.
