Modeling and vibration analyzing of a double-beam system with a coupling nonlinear energy sink

Elastic beams are applied to various complex engineering structures in engineering fields. Unwanted vibration of elastic beams may cause some serious vibration problems for complex structures. The current studies mainly focus on the vibration control of the single-beam system by employing nonlinear energy sinks. Little literature combines the NES with nonlinear couplers, limiting the vibration control of the coupling beam system by employing nonlinearities. Motivated by the limitations of current studies, a type of coupling nonlinear energy sink (CNES) is proposed and the vibration prediction model of the double-beam system (DBS) with a coupling nonlinear energy sink (CNES) is established theoretically. After ensuring the correctness of numerical results, vibration responses of DBS with a CNES are deeply studied. According to the numerical analysis and discussion, it can be found that suitable parameters of CNES can effectively reduce the vibration of DBS without changing the vibration characteristics of DBS. Unsuitable parameters of CNES not only motivate complicated responses but also worsen the vibration reduction rate of DBS. Under complicated responses, the vibration kinetic energy of DBS and CNES presents the targeted energy transfer phenomenon at some time intervals. Furthermore, choosing suitable parameters of CNES to change within a certain range greatly influences the magnitude-frequency responses of DBS. Overall, the vibration of suB-beams can be simultaneously controlled by employing the CNES, presenting that installing CNES on DBS provides a feasible way to control the vibration of DBS.