Fractional nonlinear energy sinks

Abstract The cubic or third-power (TP) nonlinear energy sink (NES) has been proven to be an effective method for vibration suppression, owing the occurrence of targeted transfer (TET). However, TET is unable triggered by low initial input, and thus TP NES would get failed under low-amplitude vibration. To resolve this issue, a new type with fractional nonlinearity, e.g., one-third-power (OTP) proposed. dynamic behaviors linear oscillator (LO) OTP are investigated numerically, then both feature attenuation performance evaluated. Moreover, analogy circuit established, simulations carried out verify design concept NES. It found that threshold two orders magnitude smaller than parametric analysis shows heavier mass lower stiffness coefficient beneficial in system. Additionally, significant usually accompanied efficient dissipation. Consequently, can realize input energy, which should promising approach micro-vibration suppression.