Dynamic Modeling and Optimization for Vibration Control of a Composite Cantilever With Magnetostrictive Shunt Damper

A mechanical-magnetic-electro bidirectional coupled dynamic model of a composite cantilever with magnetostrictive shunt damper is established, and the system's transfer functions and a key impedance impact factor are derived. For shunt vibration damping, H2 optimization criterion and the Nelder-Mead search method are used to obtain the optimal parameters of three circuits: resistance shunt (RS), capacitance shunt (CS), and resistance-CS (RCS). Comparisons between the calculated and measured results show that the proposed model can accurately describe the transmissibility vibration frequency responses of the system under RS and CS, and can predict the changing laws of the resonant frequency and the resonant peak with the shunt impedance. It is found that the RCS with negative shunt resistance can provide the peak attenuation rate 90.78%, which is higher than 70.44% of CS and 53.29% of RS, and has wider frequency broadband and faster vibration damping performances than CS and RS.