Nonlinear Vibration Control of Large Space Antenna Based on Semi-active Vibration Absorber

A semi-active vibration reduction method using internal resonance is proposed to decrease the nonlinear vibration of a flexible antenna with large flexibility. The dynamic model of a large space antenna with an absorber is established by the Kane method. The approximate analytical solutions of the system's nonlinear vibration equation are studied using the multi-scale method. The damping as well as frequency of vibration absorber are controlled by the PD feedback control method. By adjusting parameters of the vibration absorber, an energy channel between the fourth-order vibration mode of the large space antenna and the vibration mode of the vibration absorber is established, and a 2:1 internal resonance is formed between these two mode. The numerical simulation verifies the existence of energy interaction and the effectiveness of the vibration absorber.