Investigation on high-order resonant electromagnetic shunt dampers for vibration control: Methodology and optimum tuning

This paper develops linear high-order electromagnetic shunt damping techniques, which offer enhanced effectiveness without sacrificing the structural simplicity and the ease of practical implementation. Inspired by the state-of-the-art vibration control techniques involving the inerter, this paper proposes three high-order resonant electromagnetic shunt dampers, which are analogous to three distinct nontraditional inerter-based dynamic vibration absorbers. A systematic optimization for all proposed shunt circuits is carried out and their optimal parameters are tuned and analytically formulated according to the H, H₂ optimization criteria and the stability maximization criterion (SMC), respectively. Finally, the superior performance of proposed shunt circuits with respect to the conventional resistive-inductive-capacitive shunt is theoretically demonstrated via several metrics. Meanwhile, there is no need for electrically synthesizing any electrical components when realizing these high-order shunts, facilitating their practical implementation.