Inverted resonance capture cascade: modal interactions of a nonlinear energy sink with softening stiffness

Abstract Nonlinear energy sinks (NESs) are broadband passive vibration absorbers that nonlinearly connected to a host system. If an NES is attached multi-degree-of-freedom mechanical system under transient loading, the vibrations in will transfer and dissipate NES. During this transfer, sequentially resonates with modal frequencies of system, dissipating one mode at time. This phenomenon called resonance capture cascade (RCC). So far, RCC has only been investigated for NESs hardening nonlinear stiffness. Because stiffness, happens from high low frequency. In study, softening stiffness proposed. Investigating slow invariant manifolds reveals inverted occurs, where The analysis carried out by exploiting high-dimensional manifolds. proposed compared conventional