Recently, electromagnetic shunt dampers (EMSDs) have been widely studied as a promising technology to achieve versatile and re‐tuneable inerter‐enhanced vibration absorbers (IVAs). However, the influence of the inherent resistance of the transducer and the parasitic resistance of inductance in the shunt circuit are rarely accounted for in the tuning of EMSDs, thus compromising their performance. This paper contributes analytical optimal design/tuning formulas for three EMSDs, explicitly accounting for the effects of transducer and inductance resistances. The formulas are derived by applying the pole‐placement method (PPM) to equivalent mechanical models of the EMSDs, utilizing dashpot elements to represent the inherent parasitic resistances. For the more complex EMSD layouts, the standard PPM is extended and generalized to rigorously derive, in closed form, the parameter ranges for feasible optimal tuning. The derived tuning formulas show that inherent and parasitic resistances significantly affect optimal frequency and damping ratios, as well as the corresponding shunt circuit resistance and inductance. More importantly, the analytical results delineate the resistance ranges for which EMSDs outperform common mechanical IVAs such as the tuned inerter damper and the tuned viscous mass damper, providing practical recommendations for effective EMSD component selection and design.
Xu et al. (Thu,) studied this question.