Nonlinear vibration control of functionally graded material beam coupled with NiTiNOL–steel wire ropes

This paper proposes a novel damping device, NiTiNOL–steel wire rope, which is a vibration absorber with linear hysteresis damping, nonlinear damping, and nonlinear stiffness. This study is the first to couple the NiTi–ST damping device with the functionally graded material beam model. The Runge–Kutta method and harmonic balance method are adopted to study the resonant response of the system from the numerical and analytical aspects, respectively. It proves that NiTi–ST provides effective vibration reduction for FGM beam structures. In addition, special attention is paid to the appearance of the closed detached response, which significantly affects the resonant peak value of the system. And the CDR phenomenon is eliminated by adjusting the parameters, and a good damping effect is achieved under large external excitation. Results confirm that NiTi–ST is a promising nonlinear damper that serves as a new method for the vibration suppression of continuum structures.