Abstract
Nonlinear energy sinks (NESs) have received widespread attention due to their broadband vibration absorption ability. This article investigates the effect of the NES device on the nonlinear dynamic characteristics of the cable. First, the mechanical model of the inclined cable coupled NES was established. The dynamic equation of the system was obtained by applying Hamilton's principle. Then, the partial differential control equations of the system are discretized by the Galerkin truncation method. The incremental harmonic balance (IHB) method is applied to obtain the steady-state response of the nonlinear vibration of the system. Finally, the effects of the relevant parameters of the NES device on the nonlinear dynamical characteristics of the system are analyzed. In addition, the transient energy transfer within the system is analyzed. The results show that the NES can effectively reduce the displacement response of cable under harmonic loading. The variation of the relevant parameters of the NES device has a significant effect on the dynamic behavior of the cable.