Dynamic Modeling and Vibration Reduction Characteristics of Piezoelectric Shunt Damping Rings

Abstract

A piezoelectric shunt damping ring comprising six circumferential stack–frame units is proposed for vibration suppression in shaft–support systems. Bow-shaped protective frames transfer radial motion into axial deformation of piezoelectric stacks connected to independent passive series-RL circuits. A complete-ring electromechanical model incorporates deformation transfer, directional coupling, and the combined feedback of the shunt branches. A coupling-corrected analytical relation predicts a common inductance of approximately 0.1936 H, within about 0.3% of the numerical optimum. With all six branches active, joint inductance–resistance optimization yields approximately 0.19301 H and 144 Ω, reducing the predicted peak force transmissibility from 4.35 to 2.14, a reduction of 50.8%. Two branches aligned with the excitation direction provide most of the attainable attenuation, with diminishing returns from additional branches. Parameter studies show a non-monotonic resistance effect and greater sensitivity to inductance detuning than to resistance variation. Harmonic frequency-sweep tests on a shaft–support assembly show that activating all six branches reduces the peak transmitted force from 35.8 to 24.3 N under constant input-force excitation, corresponding to 32.1% attenuation. These results support the configuration’s vibration-suppression capability and provide guidance for circuit tuning and branch selection.