Nonlinear energy sink for a flywheel system vibration reduction

The present study describes a method of using a nonlinear energy sink (NES) to realize vibration reduction of the flywheel system, and integrates the NES with the flywheel support structure consisting of a simply supported plate and the flywheels to achieve vibration control. In the micro-vibration environment of the laser communication satellite, the device is proposed on the vibration attenuation of the momentum wheel system. In the system, the external excitation consists of a superposition of several discrete sinusoidal harmonics generated by the radial micro-vibration of the flywheel. A finite-element model is developed and then verified by the equivalent model results. The governing equations of the plate are discretized via the Galerkin method. The complexification-averaging (CX-A) method is employed to obtain approximate solutions. The amplitude-frequency responses of the system are obtained. The vibration suppression of the system is analyzed, and the approximate solutions are verified by numerical results. To systematically analyze the dynamic behaviors of the designed nonlinear vibration absorber, different parameters are selected for NES, and saddle-node bifurcations and Hopf bifurcations are obtained by selecting some specific parameters. The RMS ratio of the transmitted force to the excitation force is used to calculate the transmissibility of the system equipped with the NES. A parametric study is conducted for further optimization. Results illustrate that NES has a good vibration reduction effect on the micro-vibration of the system.