Design Formulas of Electromagnetic Inertial Mass Dampers for Cable Vibration Mitigation

Abstract

This study proposes the design formulas of an inerter-based damper termed electromagnetic inertial mass damper (EIMD) for bridge stay cables. To maximize the modal damping ratio for a specific cable vibration mode, we derive the design formulas of the optimal inertance coefficient and damping coefficient of the EIMD, respectively. The accuracy of the design formulas has been validated via a numerical simulation and a full-scale experimental study of a 135-m-long stay cable, and the applicable scope of the design formulas is given accordingly. This study provides simple design formulas of the EIMD for easy use in the engineering practice of cable vibration mitigation.