Nonlinear dynamic analysis of a cable-stayed beam with a nonlinear energy sink

In recent years, nonlinear energy sink (NES) has received widespread attention from scholars as an efficient passive control means. In this paper, the effect of NES on the nonlinear dynamic response of the cable-beam composite structure is investigated. Firstly, a mechanical model of the cable-beam composite structure with a NES under the external excitation of the beam is established. By using Hamilton principle and Galerkin discretization, the ordinary differential equations (ODEs) of the system are derived. Then, the incremental harmonic balance (IHB) method is employed to obtain the frequency response of the system when the beam is subjected to forced excitation. Finally, three working conditions are considered to discuss the effect of NES on the dynamic characteristics of the composite structure. Moreover, the vibration suppression mechanism of NES attached to the cable on the beam members is also investigated. The results demonstrate that when the natural frequencies of beam and each mode of cable are close, NES has good vibration suppression characteristics for both cable and beam. Furthermore, the vibration mitigation effect of NES on beam members has a great relationship with the degree of cable-beam coupling vibration.