Abstract
The design method for a gyroscopic mechanism for stabilizing torsional vibration is 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 rotational spring and the viscous damper around the gimbal axis. The gimbal rotation induces the resisting gyroscopic moment against excitation. The mechanism enables effective vibration control compared with conventional dynamic vibration absorbers, while it has a fairly simple structure and requires no actuators except for that of the rotor rotation. In the paper, the Galerkin method is applied to analyze the stationary response of the PGD subjected to ergodic Gaussian white noise excitation. The PGD shows considerable nonlinearity under strong excitation which causes large amplitude of the gimbal angle. Numerical optimization techiniques are employed to minimize the rms value of the main system angle. The simulation results are compared with those obtained using the linear design ; thus, the optimization effect is demonstrated.
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