Abstract
The design methods for a gyroscopic mechanism to stabilize torsional vibration are discussed. The passive gyroscopic damper (PGD) has a rotor in the gimbal rotating at a constant angular velocity. The gimbal is driven by a gyroscopic moment induced by the rotation of the main system, and is passively controlled by the torsional spring and the viscous damper around the gimbal axis. The gimbal rotation again induces the resistive gyroscopic moment against the excitation. The mechanism enables effective vibration control compared with conventional dynamic vibration absorbers, while it has a rather simple structure. Design methods for typical design conditions are developed that give the optimal gimbal spring and the optimal gimbal damper for a given rotor and rotor speed. The fixed point theory for the dynamic vibration absorbers is extended and the results are suitable for harmonic excitations. Closed-form solutions of the minimum variance criteria are derived, which minimize the variance of the main system angle under white noise excitation, taking account of the main system damping. The transmissibility from the excitation to the gimbal angle is estimated to guarantee stable operation for various designs.
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