Electromechanical active suppression of resonant vibrations of a six-degree-of-freedom rigid body on viscoelastic supports

Abstract

This study develops a journal-style coupled electromechanical model for active suppression of resonant oscillations of a rigid body supported by viscoelastic elements. The mechanical subsystem is described by six generalized coordinates, comprising three translations and three small rotations. The support deformations are mapped to elastic and viscous reactions, while electromechanical actuators are introduced through an electrical circuit equation, back electromotive force, current-to-force conversion, and displacement–velocity feedback. The resulting formulation couples the mechanical and electrical domains and enables simultaneous modification of effective damping and stiffness. A reduced frequency-domain model is used to quantify resonance attenuation for three actuator time constants, and a six-coordinate transient calculation is performed using the parameter set provided in the source material. At the passive resonance frequency w=1.1 rad/s, the passive amplitude equals 5.00. Depending on the active tuning, the amplitude is reduced by approximately 67–93%; however, aggressive damping with low effective stiffness may amplify the quasi-static response. The balanced active branch ( k _eff =1.05) low-frequency amplification while suppressing the passive resonance by about 67.0%, 71.2%, and 74.5% for T=0.01, T=1, T=10 , respectively. The results show that resonance attenuation and resonance-frequency management should be treated as a coupled tuning problem rather than as damping maximization alone.