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.